tor -67*s**3 - 8*s + 16*s**3 - 19*s**n - 48*s**2.
-2*s*(5*s + 2)*(7*s + 2)
Suppose -y + 13 = 3*w, -4*w - 2 = -5*y + 44. Suppose -4*o + o + z + 17 = 0, 2*z = -y. What is q in -q**3 - 1 + 13*q**2 + 2*q + 3*q - o*q - 12*q**4 = 0?
-1, -1/3, 1/4, 1
Let i(h) be the second derivative of -h**8/420 + h**6/90 + h**3/6 + 10*h. Let k(t) be the second derivative of i(t). Solve k(d) = 0.
-1, 0, 1
Let y be (1/1)/((-80)/(-32)). Let y*c**3 + 0*c + 0 + 2/5*c**5 + 4/5*c**4 + 0*c**2 = 0. Calculate c.
-1, 0
Let x(j) = -j**3 + 8*j**2 + 10*j - 9. Let z be x(9). Find h, given that 2/3 + 0*h + 2/3*h**4 - 4/3*h**2 + z*h**3 = 0.
-1, 1
Let f(s) be the third derivative of s**6/120 - s**5/15 - s**4/6 - s**3/2 - 2*s**2. Let l be f(5). Factor -2/3*z + 0 + 1/3*z**l.
z*(z - 2)/3
Let j(d) be the third derivative of d**5/480 + d**4/12 + 4*d**3/3 - d**2 + 15. Determine c so that j(c) = 0.
-8
Suppose -7*f = -f. Let x(l) be the second derivative of 1/2*l**4 + 4*l + 0 + f*l**2 + 2/3*l**3. Factor x(i).
2*i*(3*i + 2)
Suppose -3*v + 5*u - 3 = 0, 0 = -2*u - u + 9. Suppose 5*f - 11 = -v*m + 2*f, 4*f - 4 = 0. Factor m*c**2 - 16/5*c - 8/5.
2*(c - 2)*(5*c + 2)/5
Suppose 5*c = 2 + 8. Determine l so that 0 - 2/5*l - 6/5*l**c - 2/5*l**4 - 6/5*l**3 = 0.
-1, 0
Let y be (-38)/(-90) - 10/45. Suppose -2*i + 1 = 5*k + 7, -3*i = 5*k + 4. What is q in 2/5*q - y - 1/5*q**i = 0?
1
Let p(g) = 6*g - 2. Let k(c) = 5*c - 2. Let n(m) = 5*k(m) - 4*p(m). Let t be n(6). Factor y**3 + 0 - 1/2*y**t + 0*y - 1/2*y**2.
-y**2*(y - 1)**2/2
Let m = 459 - 459. Find k such that -1/3*k**4 + m*k - 1/3*k**2 - 2/3*k**3 + 0 = 0.
-1, 0
Let l(s) = 37*s**2 + 23*s. Let q(n) = -12*n**2 - 8*n. Let x(i) = 3*l(i) + 8*q(i). Determine j so that x(j) = 0.
-1/3, 0
Let r(g) = g**3 - 3*g**2 + 5*g - 4. Let q be r(2). Factor 1/7 - 1/7*l + 1/7*l**3 - 1/7*l**q.
(l - 1)**2*(l + 1)/7
Let y be (1/(-10))/(10/(-75)). Let m(n) be the first derivative of -y*n**2 - 1/8*n**4 + 1 + 1/2*n + 1/2*n**3. Factor m(r).
-(r - 1)**3/2
Let u(m) = 14*m**2 - 8*m - 6. Let w(z) = -5*z**2 + 3*z + 2. Suppose 0*y + 6 = -2*y. Let h(t) = y*u(t) - 8*w(t). Factor h(a).
-2*(a - 1)*(a + 1)
Let a(l) be the second derivative of l**4/4 + 5*l**3 + 75*l**2/2 + 16*l. Let a(p) = 0. What is p?
-5
Let a be (-6)/(-20) - 3/(-6). Let 6/5*j**5 + 8/5*j**2 + 6/5*j - 12/5*j**3 - 4/5 - a*j**4 = 0. What is j?
-1, 2/3, 1
Let k(c) = 6*c**4 - c**2 + 5*c + 5. Let q(o) = o**4 + o + 1. Let s(n) = -k(n) + 5*q(n). Suppose s(y) = 0. Calculate y.
-1, 0, 1
Let v(m) be the second derivative of m**6/30 + m**5/5 + m**4/6 - 2*m**3/3 - 3*m**2/2 - 10*m. Determine q, given that v(q) = 0.
-3, -1, 1
Let p = -28/3 - -29/3. Let 0 + 0*x + 1/3*x**2 - p*x**3 = 0. Calculate x.
0, 1
Suppose i - 1 = -2*s + 2*i, -2*s + 10 = 2*i. Find f such that 2*f**2 + 7*f**2 - 8*f**2 - 2*f**s + f = 0.
0, 1
Suppose t - 22 = -t. What is f in 4*f - 7/3*f**4 - 46/3*f**2 + 8/3 + t*f**3 = 0?
-2/7, 1, 2
Suppose -3*h = 5*i + 15, -3*i = -5*h + i - 25. Let a = h + 6. Find p, given that 3*p**2 + 4*p + 3*p - a - 4*p + p**3 + 2 = 0.
-1
Let y(v) = -v**2 - 2*v - 3. Let t(h) = -1. Let i(p) = 2*t(p) - y(p). Factor i(m).
(m + 1)**2
Let a(d) be the first derivative of d**7/1260 - d**6/270 + 2*d**3/3 - 1. Let i(o) be the third derivative of a(o). Let i(q) = 0. Calculate q.
0, 2
Let l = 1 - -2. Factor 5 - 3*m**5 - 3*m + 0*m**2 - 6*m**2 + 6*m**l + 4*m**4 - 2 - m**4.
-3*(m - 1)**3*(m + 1)**2
Let s(n) be the second derivative of n**7/840 - n**5/40 - n**4/12 - 2*n**3/3 - 4*n. Let o(v) be the second derivative of s(v). Factor o(r).
(r - 2)*(r + 1)**2
Let u(w) = -5*w - 11. Let z be u(-3). Let m(p) be the first derivative of 1 + 3/2*p - 9/8*p**2 + 0*p**3 + 3/16*p**z. Factor m(v).
3*(v - 1)**2*(v + 2)/4
Let a be 1/(-4) - (-55)/(-20). Let n = a - -3. Suppose 0*q - 1/3*q**3 + n + 1/3*q**2 = 0. What is q?
0, 1
Let k be (1 + -2)/(-18) - 0. Let a(h) be the second derivative of 1/60*h**5 - 1/6*h**2 + 1/36*h**4 + 0 + h - k*h**3. Determine w so that a(w) = 0.
-1, 1
Let m = 6 + -8. Let u be 2 - 1/1 - m. Determine x, given that -2/7*x**5 + 2/7*x**4 + 0*x**u + 0 + 0*x**2 + 0*x = 0.
0, 1
Let w = 4926797/28 + -175938. Let j = w + -75/4. Solve -10/7*z**2 - 8/7 - j*z**3 - 16/7*z = 0.
-2, -1
Factor -2/9*d**4 + 0 + 10/9*d**2 - 2/9*d**5 + 2/3*d**3 + 4/9*d.
-2*d*(d - 2)*(d + 1)**3/9
Let v(w) be the second derivative of w**5/10 - w**4/2 + 9*w. Suppose v(n) = 0. Calculate n.
0, 3
Let d(m) be the third derivative of -m**7/2100 - m**6/120 - m**5/25 - 11*m**4/120 - 7*m**3/60 - 34*m**2. Factor d(c).
-(c + 1)**3*(c + 7)/10
Let z(q) be the first derivative of -245*q**3/3 + 35*q**2 - 5*q + 3. Factor z(t).
-5*(7*t - 1)**2
Let f(i) = i**2 + 2*i + 4. Let u be f(-2). Solve 36*x - 3*x**4 + x**3 - u - 2*x**3 - 39*x**2 - 8 + 19*x**3 = 0 for x.
1, 2
Let b(i) be the third derivative of -i**10/75600 + i**8/10080 + i**5/60 - 2*i**2. Let h(d) be the third derivative of b(d). Factor h(y).
-2*y**2*(y - 1)*(y + 1)
Let n = 3 + 3. Let w = -2 + n. Find g, given that 3*g - 3*g**5 + g**4 - 4*g - 3*g**4 + 2*g**2 + w*g**3 = 0.
-1, 0, 1/3, 1
Let s(y) = -3*y + 37. Let u be s(11). Factor -2/3*r**2 - 1/3*r**5 + 1/3 + 2/3*r**3 - 1/3*r + 1/3*r**u.
-(r - 1)**3*(r + 1)**2/3
Suppose -2/9*s**4 + 0*s**2 - 2/3*s**3 + 0 + 8/9*s = 0. Calculate s.
-2, 0, 1
Let c(i) be the third derivative of 0 - 2*i**2 + 1/3*i**3 + 0*i + 1/60*i**5 + 1/8*i**4. Factor c(s).
(s + 1)*(s + 2)
Determine v so that 0*v + 0 + 1/4*v**5 - 1/4*v**4 + 1/4*v**2 - 1/4*v**3 = 0.
-1, 0, 1
Let z = -1 - -4. Determine d so that d**z + d**3 - d**4 + 0*d**3 = 0.
0, 2
Let v(n) be the first derivative of -8/21*n**3 - 3/7*n**4 - 1/21*n**6 - 8/35*n**5 - 1/7*n**2 - 1 + 0*n. Factor v(k).
-2*k*(k + 1)**4/7
Let u be (-1 - 5/7) + 2. Factor -u*z**4 + 2/7*z**2 + 0*z + 0*z**3 + 0.
-2*z**2*(z - 1)*(z + 1)/7
Suppose 0 - 1/5*h**2 + 1/5*h = 0. Calculate h.
0, 1
Let w be (4/8)/(1/10). Factor -2*c**2 + 2*c**3 + 4*c - w*c**2 + c**2.
2*c*(c - 2)*(c - 1)
Let v(x) = -10*x**3 - 9*x**2 + 15*x + 4. Let r(c) = -9*c**3 - 8*c**2 + 14*c + 3. Let u(k) = 6*r(k) - 5*v(k). Factor u(p).
-(p - 1)*(p + 2)*(4*p - 1)
Let k(i) = -i**2 + 2*i. Let z be k(3). Let h be (-2)/12 + z/(-6). Find o, given that -2/3*o**2 + 1/3*o**5 - 2/3*o**3 + 1/3 + h*o + 1/3*o**4 = 0.
-1, 1
Let w(u) = 2*u**2 - 3*u - 5. Let a(z) = -z**2 + z + 2. Let p(r) = 7*a(r) + 3*w(r). Factor p(f).
-(f + 1)**2
Let r = 199/30 - 35/6. Let j = 73/45 - 11/9. Factor -4/5*f - 2/5 + j*f**4 + r*f**3 + 0*f**2.
2*(f - 1)*(f + 1)**3/5
Let d = 0 - -4. Let j = d + -7. Let w(m) = 2*m**4 - 3*m**3 - m**2 - 4. Let f(r) = 5*r**4 - 7*r**3 - 3*r**2 - 9. Let l(t) = j*f(t) + 7*w(t). Factor l(c).
-(c - 1)**2*(c + 1)**2
Let k(h) be the first derivative of 1/30*h**5 + 1/3*h**4 + 4/3*h**3 + 0*h + 1 + h**2. Let p(x) be the second derivative of k(x). Factor p(o).
2*(o + 2)**2
Let x = 17 + -9. Suppose c + 6 = 4*c + 3*r, -2*r = -2*c + x. Factor -p**3 + 4*p**3 + 0*p**4 + 9*p**2 + p**5 - 8*p**2 + c*p**4.
p**2*(p + 1)**3
Let h(p) = 6*p - 7. Suppose 5*d - 25 = -0. Let k be h(d). Find f, given that -f**4 - 2*f**2 - 32*f + 5*f**2 - k*f**2 - 8*f**3 - 16 - 4*f**2 = 0.
-2
Let w(t) be the third derivative of -t**5/30 + t**4/12 + 2*t**3 - 16*t**2. Determine p, given that w(p) = 0.
-2, 3
Let r(j) = -5*j - 28. Let g be r(-6). Factor 2/7*n + 2/7*n**g - 4/7.
2*(n - 1)*(n + 2)/7
Let z(k) be the second derivative of 225*k**4/4 - 30*k**3 + 6*k**2 - 10*k. Determine g, given that z(g) = 0.
2/15
Let i(f) = f**3 - f**2 + 8*f - 8. Let x(w) = -w + 1. Let v(h) = -2*i(h) - 18*x(h). Factor v(k).
-2*(k - 1)**2*(k + 1)
Find h, given that 100*h**3 + 22 + 12*h + 113*h**2 - 30 + 7*h**2 = 0.
-1, -2/5, 1/5
Let -4/13*y**4 + 0 - 2/13*y**5 + 2/13*y + 4/13*y**2 + 0*y**3 = 0. Calculate y.
-1, 0, 1
Let t = -427/33 - -168/11. Let t*y + 5/3*y**3 - 3*y**2 - 1/3*y**4 - 2/3 = 0. What is y?
1, 2
Let y(w) = -w**4 + w**2 - w + 1. Let f(i) = -2*i**4 - 6*i**3 - 11*i**2 - 9*i + 1. Let v(l) = f(l) - y(l). Suppose v(t) = 0. What is t?
-2, 0
Let h(u) = 3*u**5 + 8*u**4 - 2*u**3 - 2*u**2 + 2*u. Let y(w) = 2*w**5 + 7*w**4 - 3*w**3 - 3*w**2 + 3*w. Let v(b) = 3*h(b) - 2*y(b). Factor v(f).
5*f**4*(f + 2)
Let p(f) be the second derivative of -f**5/30 - 2*f**4/9 - f**3/3 + 8*f. Factor p(i).
-2*i*(i + 1)*(i + 3)/3
Let j(u) = u**3 + 3*u**2 - 2*u - 3. Suppose -18 = 3*m + 3*n, m - 2*n - 3*n = 12. Let v be j(m). Determine w, given t