 + 0. Solve n(x) = 0.
-1, 2
Suppose 0 = -3*h + 3. Suppose 2*r**3 - h + 1 - 2*r**4 = 0. What is r?
0, 1
Let y(j) be the second derivative of -j**6/225 - j**5/150 + j**4/90 + j**3/45 - 10*j. Determine p so that y(p) = 0.
-1, 0, 1
Suppose 3*m - 7 - 2 = 0. Suppose -l + m = -0*l. What is o in 8*o**4 - 3*o**3 + 6*o**2 + 2*o**2 + 2*o + 2*o**5 + 15*o**l = 0?
-1, 0
Let t(p) = 9*p + 0*p**3 + p**4 - p**3 - 8*p. Let s(a) = 4*a**4 - 8*a**3 + 9*a**2 - 4*a + 2. Let g(q) = 2*s(q) - 6*t(q). Factor g(b).
2*(b - 2)*(b - 1)**3
Let x(g) = -g**2 + 3*g + 4. Let f = 17 - 13. Let p be x(f). Solve 2/7*y**3 - 4/7*y + p + 2/7*y**2 = 0.
-2, 0, 1
Let g(u) be the third derivative of u**7/945 + u**6/270 - u**4/54 - u**3/27 - 15*u**2. Factor g(o).
2*(o - 1)*(o + 1)**3/9
Factor 4/5*l**4 + 16/5*l - 12/5*l**3 + 0 + 0*l**2.
4*l*(l - 2)**2*(l + 1)/5
Let i(o) be the first derivative of 5*o**4/4 - 5*o**3/3 + 2. Suppose i(r) = 0. Calculate r.
0, 1
Let q(j) be the second derivative of -j**6/480 - j**5/60 - 5*j**4/96 - j**3/12 + 2*j**2 + 3*j. Let c(n) be the first derivative of q(n). Factor c(y).
-(y + 1)**2*(y + 2)/4
Let m(i) be the first derivative of -i**5/5 - i**4/4 - i**2/2 - i + 1. Let l(s) = 4*s**4 + 4*s**3 + s**2 + 6*s + 5. Let r(w) = -l(w) - 5*m(w). Factor r(a).
a*(a - 1)*(a + 1)**2
Let l(i) be the third derivative of -i**8/1176 - 4*i**7/735 - i**6/70 - 2*i**5/105 - i**4/84 + 2*i**2. Solve l(u) = 0 for u.
-1, 0
Find w such that 1/6*w**2 + 0*w + 0 + 1/6*w**5 - 1/6*w**3 - 1/6*w**4 = 0.
-1, 0, 1
Factor 3/2*i**2 + 21/2*i + 9.
3*(i + 1)*(i + 6)/2
Let x(g) be the first derivative of 0*g + 1/12*g**6 + 0*g**2 + 0*g**3 + 1/10*g**5 + 0*g**4 - 1. Factor x(j).
j**4*(j + 1)/2
Let v(g) = g**4 + 4*g**3 - g + 2. Let j(o) = o**3 + o**2. Let x(r) = -6*j(r) + 2*v(r). Factor x(d).
2*(d - 1)**2*(d + 1)*(d + 2)
Factor 10*p**2 - 26*p**3 - 32*p**2 + 5*p**4 - 4*p - 13*p**4.
-2*p*(p + 1)*(p + 2)*(4*p + 1)
Suppose -2*v = -v - g + 25, -4*g = -4. Let k be (-4)/8*v/3. What is t in 3*t**5 - 8*t**4 + t**4 + 3*t**3 + t**k = 0?
0, 1
Let d be 9/6 + 1/2. Suppose d*f = -f. Factor -1/3*k**3 - 5/3*k**4 + 0*k - 4/3*k**5 + f*k**2 + 0.
-k**3*(k + 1)*(4*k + 1)/3
Determine j, given that 42/5*j + 8/5*j**2 + 2 = 0.
-5, -1/4
Let d = 257/174 + 2/87. Factor 0 + d*m**3 - 3*m**2 + 0*m.
3*m**2*(m - 2)/2
Factor -3/2*s**3 - 15/2*s**2 + 0 - 6*s.
-3*s*(s + 1)*(s + 4)/2
Solve -2*g**2 + 1/2*g**5 + 0 + 3*g**3 + 1/2*g - 2*g**4 = 0 for g.
0, 1
Let m(y) be the third derivative of y**7/105 + y**6/12 + 3*y**5/10 + 7*y**4/12 + 2*y**3/3 - 4*y**2. What is p in m(p) = 0?
-2, -1
Suppose -42 = -2*o - o - d, -5*o + 4*d = -87. Suppose -5*f - o = 3*q, -4*f - 10 = 4*q + 2. Suppose 2*p + 1/2*p**3 + q - 2*p**2 = 0. What is p?
0, 2
Suppose 0 = z - 3 - 0. Let p(l) = l**4 - 2*l**3 - 1. Let f(c) = -c**4 + 3*c**3 - c**2 + 2. Let r(u) = z*p(u) + 2*f(u). Suppose r(v) = 0. Calculate v.
-1, 1
Let y(n) = -3*n**5 + 6*n**4 + 8*n**3 - 9*n**2 - 3*n + 4. Let h(j) = -j**4 - j**3 - j. Let b(t) = 2*h(t) + 2*y(t). Determine i so that b(i) = 0.
-1, 2/3, 1, 2
Let j(a) = 6*a**2 - 40*a - 11. Let k(o) = 4*o**2 - 27*o - 7. Let f(y) = 5*j(y) - 7*k(y). Solve f(b) = 0 for b.
-1/2, 6
Let p(s) = -9*s**4 - s**3 - 6*s**2 - 7*s + 7. Let i(a) = 5*a**4 + 3*a**2 + 4*a - 4. Let w(b) = 7*i(b) + 4*p(b). Let w(f) = 0. What is f?
-3, -1, 0
Let n = -3412/63 - -490/9. Factor -2/7*m**2 + 0 - n*m**5 + 2/7*m**3 + 2/7*m**4 + 0*m.
-2*m**2*(m - 1)**2*(m + 1)/7
Let w(u) = -7*u**3 - 19*u**2 + u. Let r = -39 - 0. Let x(d) = -d**3 - 3*d**2. Let m(h) = r*x(h) + 6*w(h). Factor m(g).
-3*g*(g - 2)*(g + 1)
Let c = -62/21 - -943/42. Let s = c - 19. Factor s*l + 0 - 1/2*l**2.
-l*(l - 1)/2
Let u(a) be the third derivative of -4*a**2 - 1/90*a**5 + 0*a - 1/36*a**4 + 0 + 0*a**3. Find z such that u(z) = 0.
-1, 0
Let u(v) be the first derivative of -v**4/14 + 4*v**3/7 - 9*v**2/7 - 16. Let u(j) = 0. What is j?
0, 3
Let b(x) be the second derivative of -x**9/52920 + x**4/4 - 3*x. Let h(k) be the third derivative of b(k). Factor h(j).
-2*j**4/7
Let p = 230 + -4139/18. Let m(r) be the first derivative of 2/9*r**3 - 2/15*r**5 + 0*r + 0*r**4 - 1/6*r**2 + 1 + p*r**6. Factor m(u).
u*(u - 1)**3*(u + 1)/3
Let l(w) be the second derivative of 0 + 0*w**3 - 1/6*w**2 - w + 1/36*w**4. Determine h, given that l(h) = 0.
-1, 1
Let o(u) be the second derivative of 0*u**3 + 1/9*u**4 - 1/30*u**5 + 0 - u + 0*u**2. Let o(r) = 0. What is r?
0, 2
Let w = 34 + -24. Let m(a) = 2*a**5 - 4*a**4 + 4*a**2 - 2*a. Let b(h) = -h**5 + 2*h**4 - 2*h**2 + h. Let p(z) = w*b(z) + 4*m(z). Solve p(k) = 0 for k.
-1, 0, 1
Let q = -5 + 6. Let o = -1 + 3. Factor -o + 0*n**2 + q - n**3 + n + n**2.
-(n - 1)**2*(n + 1)
Suppose 4*x - 2*i = 10, -x - 20 = -5*x + 4*i. Factor -1/3*w**2 + 0*w**3 + x*w + 1/6 + 1/6*w**4.
(w - 1)**2*(w + 1)**2/6
Let p = 63 + -60. Let m(u) be the first derivative of 0*u**2 - 2/3*u**3 + 2*u - p. Solve m(a) = 0.
-1, 1
Suppose 3*i = i - 5*z - 90, 171 = -5*i + z. Let l be (4/(-7))/(10/i). Suppose -2/11*w**3 - 2/11*w**l + 2/11*w + 2/11 = 0. Calculate w.
-1, 1
Let z = 23 - 23. Let l(y) be the second derivative of 0*y**5 - 1/75*y**6 + 0*y**4 - y + z*y**3 + 0 + 2/105*y**7 + 0*y**2. Factor l(m).
2*m**4*(2*m - 1)/5
Let d be ((-12)/(-9))/((-6)/(-9)). Solve -3 + 3*q**d + 21/2*q**3 - 21/2*q = 0.
-1, -2/7, 1
Let m(j) be the first derivative of -j**5 - 5*j**4/2 + 20*j**3 - 35*j**2 + 25*j + 25. Factor m(d).
-5*(d - 1)**3*(d + 5)
Let d(z) be the third derivative of 0 + 0*z + 3/32*z**4 + 2*z**2 + 3/80*z**5 - 1/4*z**3 - 1/80*z**6. Determine o so that d(o) = 0.
-1, 1/2, 2
Suppose -3/4*q**4 + 3/2*q**2 - q - 3/4 + 2*q**3 - q**5 = 0. Calculate q.
-1, -3/4, 1
Factor -24/7*o**4 - 12/7*o**2 - 26/7*o**3 - 2/7*o + 0 - 8/7*o**5.
-2*o*(o + 1)**2*(2*o + 1)**2/7
Factor 4*f**2 + 2*f + 3*f + 3*f.
4*f*(f + 2)
Let j(m) = -m**3 + m**2 - m - 1. Let n(q) = 25*q**4 + 28*q**3 - 9*q**2 - 14*q + 2. Let l(h) = -10*j(h) + 5*n(h). Factor l(d).
5*(d + 1)**2*(5*d - 2)**2
Let w(y) be the third derivative of y**7/630 - y**6/120 + y**4/18 - 5*y**2. Factor w(c).
c*(c - 2)**2*(c + 1)/3
Let z(q) be the first derivative of 1/48*q**4 + 1 + 0*q**2 + 0*q**3 - q. Let v(b) be the first derivative of z(b). Determine w, given that v(w) = 0.
0
Factor 1/2*t**2 + 1/4*t**5 + 0 - 1/2*t**4 + 0*t**3 - 1/4*t.
t*(t - 1)**3*(t + 1)/4
Let k(h) be the second derivative of 0*h**2 + 0 + 2/9*h**3 + 1/60*h**5 - 1/9*h**4 - h. Let k(j) = 0. Calculate j.
0, 2
Let n(g) be the third derivative of 1/20*g**5 - 1/40*g**6 + 0*g**3 + 2*g**2 - 1/70*g**7 + 1/8*g**4 + 0 + 0*g. Determine i so that n(i) = 0.
-1, 0, 1
Let m be 2/(-45)*-5 + 38/72. Let s(p) be the first derivative of 3/2*p**2 - p**3 + 3*p - 1 - m*p**4. Factor s(x).
-3*(x - 1)*(x + 1)**2
Let x(f) be the second derivative of 2*f**5/35 - 25*f**4/42 + 2*f**3 - 9*f**2/7 - 22*f. Factor x(u).
2*(u - 3)**2*(4*u - 1)/7
Let v(w) be the second derivative of -5*w + 0*w**2 + 0 + 1/2*w**4 + 0*w**3 - 3/20*w**5. Solve v(k) = 0 for k.
0, 2
Let w(p) = p**3 + 2*p**2 + p - 2. Let d be w(1). Factor 0*f + 28*f**d - 26*f**2 + 4*f.
2*f*(f + 2)
Let s(j) be the second derivative of -7*j**6/120 - 9*j**5/40 - j**4/4 + 2*j**3/3 - 3*j. Let v(t) be the second derivative of s(t). Solve v(i) = 0.
-1, -2/7
Let t(z) = 3*z**2 + 2*z + 1. Suppose 4 = -4*n - 0. Let q be t(n). Factor 1/3*k + 1/3*k**5 + 2*k**3 + 0 - 4/3*k**4 - 4/3*k**q.
k*(k - 1)**4/3
Let h(x) be the third derivative of x**5/180 + x**4/12 + x**3/2 - 33*x**2. Factor h(u).
(u + 3)**2/3
Factor 4*p**3 + 4*p**2 - p**2 - 3*p**3 + 2*p.
p*(p + 1)*(p + 2)
Let r be -2*1 + 1/(1/2). Factor 0 + r*m + 2/7*m**2.
2*m**2/7
Factor 3*m**2 + 0*m + 0 - 21/4*m**4 + 9*m**3.
-3*m**2*(m - 2)*(7*m + 2)/4
Let l(r) = 7*r**4 - 6*r**3 - 20*r**2 - 8*r - 8. Let m(n) = n**4 - n**2 - 1. Let f(i) = 5*l(i) - 40*m(i). Let f(d) = 0. Calculate d.
-2, 0
Let h(w) be the third derivative of w**6/12 + w**5/5 + w**4/12 - w**2. Suppose h(c) = 0. What is c?
-1, -1/5, 0
Let y(l) be the second derivative of 1/6*l**4 + 0*l**2 + 0 - 1/20*l**5 + 0*l**3 - 4*l. Factor y(q).
-q**2*(q - 2)
Factor 0 + 0*g - 4/9*g**2.
-4*g**2/9
Let i(x) be the second derivative of 3/4*x**4 + 3/2*x**3 + 3*x + 0*x**2 + 0. Let w(a) = 5*a**2 + 5*a. Let s(g) = -6*i(g) + 11*w(g). Factor s(z).
z*(z + 1)
Let s(m) = -m**2 + 10*m + 1. Let n be s(10). Factor 4*w**2 - n + 1 + 10*w**4 - 14*w**3.
2*w**2*(w - 1)*(5*w - 2)
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