**5/90 + 5*a**2. Solve i(q) = 0.
0, 3
Let j(i) be the third derivative of -i**2 + 0*i**6 - 1/60*i**5 + 0 + 0*i**3 + 0*i + 0*i**4 + 1/210*i**7. Factor j(u).
u**2*(u - 1)*(u + 1)
Let p = 9 + -7. Suppose m = -p*m. Solve -3*x**2 - 3*x + 0*x**4 + m*x**3 + 3*x**4 + 3*x**3 = 0 for x.
-1, 0, 1
Let f(q) be the second derivative of 2*q**6/15 + q**5/4 + q**4/12 - 2*q. Find l such that f(l) = 0.
-1, -1/4, 0
Determine b, given that -10/3*b**3 - 2/3*b**4 + 8/3*b - 4*b**2 + 16/3 = 0.
-2, 1
Let k be (-1)/12*3 + (-39)/(-12). Factor 15/2*m + 3 + 6*m**2 + 3/2*m**k.
3*(m + 1)**2*(m + 2)/2
Let a(z) be the second derivative of 0*z**3 - 2*z + 1/30*z**6 + 1/20*z**5 - 1/6*z**4 + 0*z**2 + 0. Solve a(f) = 0.
-2, 0, 1
Let c be 12/10 + (-16)/(-20). Let u(n) be the first derivative of 0*n**c - 25/9*n**6 + 8/3*n**5 + 0*n - 2/3*n**4 + 1 + 0*n**3. Suppose u(l) = 0. What is l?
0, 2/5
Suppose -28*z = -29*z + 5. Factor -1/4*y**4 + 1/4*y**z + 0*y + 0*y**2 + 0*y**3 + 0.
y**4*(y - 1)/4
Let h(w) be the first derivative of -w**6/12 + w**5/15 + w**2 - 1. Let y(f) be the second derivative of h(f). Factor y(m).
-2*m**2*(5*m - 2)
Let n(z) be the first derivative of -z**7/42 + 4*z**6/45 - 7*z**5/60 + z**4/18 - 2*z - 6. Let u(y) be the first derivative of n(y). What is j in u(j) = 0?
0, 2/3, 1
Let a be 3*((-2)/6 - -2). Suppose 8 = 5*o + 4*i, 0*i + 27 = 3*o - a*i. Find v, given that 2/5 + 4/5*v**3 - 4/5*v + 0*v**2 - 2/5*v**o = 0.
-1, 1
Let f be (-6)/((-360)/(-25))*3/(-10). Let c(t) be the third derivative of 0 - 1/3*t**3 + 1/120*t**6 - f*t**4 + 0*t + 0*t**5 - 4*t**2. Factor c(a).
(a - 2)*(a + 1)**2
Let h(d) = d**2 - 30*d + 37. Let q(w) = -2*w**2 + 30*w - 39. Let s(c) = -3*h(c) - 4*q(c). Factor s(b).
5*(b - 3)**2
Suppose 0 = 2*i - 3 - 1. Let r = i - -2. Find p such that r*p**3 - 4*p + 2*p - 2*p**5 + 0*p**3 = 0.
-1, 0, 1
Let n be ((-374)/14)/(367/(-4)). Let h = n - 2/367. Determine j, given that 2/7*j + 2/7*j**4 + h - 4/7*j**2 + 2/7*j**5 - 4/7*j**3 = 0.
-1, 1
Suppose 18*p**2 + 5*p + 27/2*p**4 + 1/2 + 27*p**3 = 0. What is p?
-1, -1/3
Let t be -4*3/15*-5. Suppose -2*o - 3*o**2 - o + 2 + t = 0. Calculate o.
-2, 1
Let a(j) be the third derivative of -j**7/945 + j**6/180 - j**5/270 - j**4/36 + 2*j**3/27 + 14*j**2. Solve a(v) = 0.
-1, 1, 2
Let p(c) be the third derivative of c**8/168 + 2*c**7/105 + c**6/60 + 8*c**2 + 2. Factor p(l).
2*l**3*(l + 1)**2
What is a in 15*a - 12*a**3 - 5*a**4 + 6*a**3 + 5*a**2 - 9*a**3 = 0?
-3, -1, 0, 1
Let i(x) = x**2 - 3*x + 2. Suppose 6*s + 10 = s. Suppose 3 = -3*z + 4*z. Let n(b) = b**2 - 2*b + 1. Let l(j) = s*i(j) + z*n(j). Solve l(m) = 0.
-1, 1
Suppose n + n + 10 = -2*f, 5*n + 25 = -4*f. Let g(r) be the second derivative of 0*r**2 - 1/45*r**6 - 2*r - 1/18*r**4 + f - 1/15*r**5 + 0*r**3. Factor g(x).
-2*x**2*(x + 1)**2/3
Factor -2/23*w**4 + 0 + 4/23*w**2 + 0*w + 2/23*w**3.
-2*w**2*(w - 2)*(w + 1)/23
Factor 0 + 0*h - 2/3*h**3 - 2/3*h**2.
-2*h**2*(h + 1)/3
Let f = -3 + 4. Let m be 4/(-2) - f*-5. Factor -12*b - 2*b**2 + 4*b**4 + 2 + 2*b**4 + 26*b**2 - 20*b**m.
2*(b - 1)**3*(3*b - 1)
Let h(a) = 0*a**2 + 16*a**2 - 25*a - 10 + 19*a. Let v(d) = -5*d**2 + 2*d + 3. Let y = 7 - 10. Let g(o) = y*h(o) - 10*v(o). Factor g(z).
2*z*(z - 1)
Let w be 0*(-1)/(-1 + 5). Factor 0 + 1/3*s**3 + w*s + 0*s**2 - 2/3*s**4 + 1/3*s**5.
s**3*(s - 1)**2/3
Let q(o) = o**2 - 1. Let s(k) = -k**3 + 6*k**2 - 35*k + 30. Let m(u) = 15*q(u) + 3*s(u). Suppose m(p) = 0. What is p?
1, 5
Let b(f) be the first derivative of 0*f + 1/2*f**4 - 32/21*f**3 - 4/7*f**2 + 2*f**6 + 8 + 122/35*f**5. Let b(i) = 0. Calculate i.
-1, -2/3, -2/7, 0, 1/2
Let b be (2 + 1 - 3)*(-1 - -2). Let n(x) be the second derivative of 0*x**3 + x + b*x**4 + 0*x**2 + 1/30*x**6 - 1/20*x**5 + 0. Let n(z) = 0. What is z?
0, 1
Let y(s) = -4*s**2. Let f(q) = q**3. Let p(u) = -4*f(u) - y(u). Factor p(b).
-4*b**2*(b - 1)
Let s = -72 + 218/3. Find a, given that 0*a**4 + 2/3*a**5 + s*a + 0 - 4/3*a**3 + 0*a**2 = 0.
-1, 0, 1
Let k(o) be the second derivative of -o**5/110 - o**4/33 + 8*o**3/33 + 3*o. Find c such that k(c) = 0.
-4, 0, 2
Let i(h) be the third derivative of -h**6/140 - h**5/60 + h**4/42 + 5*h**3/6 - 2*h**2. Let k(v) be the first derivative of i(v). Factor k(j).
-2*(j + 1)*(9*j - 2)/7
Let x(m) = -3*m**5 - m**4 - 4*m**3 + 4*m. Let y(u) = 6*u**5 + 3*u**4 + 9*u**3 - 9*u. Let t(p) = 9*x(p) + 4*y(p). Find r, given that t(r) = 0.
0, 1
Let p(q) be the first derivative of -q**4/4 - 4*q**3/3 - 2*q**2 + 39. Find w such that p(w) = 0.
-2, 0
Let t(b) be the first derivative of 0*b - 1/9*b**6 + 10 + 4/15*b**5 + 0*b**4 + 1/3*b**2 - 4/9*b**3. Factor t(y).
-2*y*(y - 1)**3*(y + 1)/3
Let z = -53 + 53. Let w(a) be the third derivative of 0*a + 0 + 3*a**2 - 1/150*a**5 + z*a**3 + 1/840*a**8 - 1/175*a**7 + 0*a**4 + 1/100*a**6. Factor w(h).
2*h**2*(h - 1)**3/5
Let m(f) be the first derivative of -f**2 + 1 - 2/9*f**3 + 1/36*f**4 + 0*f + 1/90*f**5. Let s(i) be the second derivative of m(i). Suppose s(a) = 0. What is a?
-2, 1
Let z = 46 + -41. Let g(h) be the third derivative of 0*h + 2*h**2 + 1/40*h**z + 0*h**6 + 0*h**3 + 0 - 1/105*h**7 + 1/48*h**4. Suppose g(w) = 0. What is w?
-1/2, 0, 1
Let a(w) = -2*w**5 + 4*w**4 + 13*w**3 - 35*w**2 - 35*w + 64. Let x(k) = k**3 + k**2 + k. Let v(t) = 2*a(t) + 6*x(t). Let v(n) = 0. Calculate n.
-2, 2
Let s(u) be the first derivative of -u**3/3 - 3*u**2 - 5*u - 5. Let s(v) = 0. What is v?
-5, -1
Let d(x) be the second derivative of x**3/6 - 3*x. Let a(k) = -8*k**5 - 26*k**4 - 22*k**3 - 4*k**2 - 10*k. Let r(h) = -a(h) - 10*d(h). Let r(b) = 0. What is b?
-2, -1, -1/4, 0
Let j = -9 - -14. Suppose 3*g = -g - 5*t, 0 = -2*g + j*t. Let -3*h + 3*h**4 + 2*h**3 - 1 - 6*h**5 - 2*h**2 + g + 7*h**5 = 0. Calculate h.
-1, 1
Let a(m) = m - 1. Let f be a(3). Factor o**3 - 5*o**2 - 5*o - f*o**2 - 3 + 3*o**2 + 3*o**2.
(o - 3)*(o + 1)**2
Let j(w) be the first derivative of -w**6/360 + w**4/72 - w**2 + 3. Let p(g) be the second derivative of j(g). Factor p(x).
-x*(x - 1)*(x + 1)/3
Let u(y) be the second derivative of -3*y + 1/4*y**5 + 0 + 13/12*y**4 - 2*y**2 + 2/3*y**3. Find g, given that u(g) = 0.
-2, -1, 2/5
Let a(w) be the first derivative of -w**6/240 - w**5/20 - 3*w**4/16 + 7*w**2/2 - 6. Let i(y) be the second derivative of a(y). Factor i(f).
-f*(f + 3)**2/2
Suppose 0 = -4*q + 40 - 32. Factor 2/3 - 4/3*o + 2/3*o**q.
2*(o - 1)**2/3
Suppose -a + 22 = 2*t - 5*a, t - 20 = -a. Suppose -j - 4*j = -s - t, -3*s = 2*j. Factor -2*o**2 - 2*o**2 + j*o**2.
-o**2
Let p = -1562/3 - -526. Factor -2/3*f**3 - p - 8*f - 4*f**2.
-2*(f + 2)**3/3
Let s(t) be the first derivative of t**6/480 - t**4/96 + 3*t**2/2 - 1. Let d(u) be the second derivative of s(u). Factor d(l).
l*(l - 1)*(l + 1)/4
Let s(t) = -11*t**2 - 19*t + 21. Let k(v) = 17*v**2 + 29*v - 31. Let q(m) = -5*k(m) - 7*s(m). Solve q(n) = 0 for n.
-2, 1/2
Let j(s) = 3*s**2 + s - 1. Let t be j(1). Let u(i) be the first derivative of 0*i**2 + 0*i - 2/15*i**3 - 1/10*i**4 - t. Factor u(p).
-2*p**2*(p + 1)/5
Let h(w) be the first derivative of -3*w**4/7 - 23*w**3/7 - 45*w**2/7 + 27*w/7 - 32. Determine l so that h(l) = 0.
-3, 1/4
Suppose -87*z = -107*z + 40. Let 8/5*x**5 + 4/5*x**z - 16/5*x**3 - 2/5*x**4 + 8/5*x - 2/5 = 0. Calculate x.
-1, 1/4, 1
Let a(b) = -b**2 - 5*b + 1. Let f be a(-4). Suppose n - f = -4. Factor n - 1/2*q - 1/2*q**2.
-(q - 1)*(q + 2)/2
Suppose -148*q + 70 = -134*q. What is a in -2/3*a**2 + 2/3*a**4 + 2/9*a**q + 0 - 4/9*a + 2/9*a**3 = 0?
-2, -1, 0, 1
Let k(x) be the second derivative of x**5/40 + x**4/12 + x**3/12 + 4*x. What is o in k(o) = 0?
-1, 0
Determine t so that -7*t**3 - 24*t**2 + 7*t - 1/2*t**4 + 49/2 = 0.
-7, -1, 1
Let h(w) = -w**3 + 2*w**2 + w + 1. Let g be h(2). Let m be g + -1 + (1 - -2). Factor -4*b**3 + 12*b**3 - 2*b**m + 4 - 4*b**2 - 8*b + 2*b.
-2*(b - 1)**3*(b + 1)*(b + 2)
Let j = -80692/45 + 1793. Let l = j - -5/9. Factor 0 - l*h**2 + 2/5*h.
-2*h*(h - 1)/5
Let b(q) be the second derivative of -1/6*q**4 - 1/20*q**5 + 3*q - 1/6*q**3 + 0*q**2 + 0. Let b(t) = 0. What is t?
-1, 0
Factor -3*s**2 - s - s - 5*s**3 + 3*s**3 - s**2.
-2*s*(s + 1)**2
Let n = -7 - -9. Let y(f) be the first derivative of f**3 - 3/2*f**2 + 0*f + n. Solve y(v) = 0 for v.
0, 1
Let f(m) = 5*m**2 + 8*m. Let a(d) = 3*d**2 + 5*d. Let x(u) = -8*a(u) + 5*f(u). Factor x(n).
n**2
Let -4*z**3 - 10 - 7*z**3 + 3*z**3 