30 - d**4/78 + 2*d**3/39 + 16*d. Let k(q) = 0. What is q?
-2, -1, 0, 1
Let q(w) be the third derivative of w**6/40 + w**5/20 + 6*w**2. Factor q(z).
3*z**2*(z + 1)
Suppose w - 158 + 7 = 0. Suppose -4*f + w = -4*n - 201, 0 = 3*f + 4*n - 292. Factor -72*x - 16 + 18*x**3 + 90*x**4 + 54*x**5 - 32*x**4 + 50*x**4 - f*x**2.
2*(x - 1)*(x + 1)*(3*x + 2)**3
Suppose -6*a + 19*a**2 + 3*a**3 + 3*a - 7*a**2 - 12 = 0. What is a?
-4, -1, 1
Suppose 0 = -3*p - 4*u + 6 + 14, 2*u = 3*p + 10. Let j(d) be the first derivative of 1 - 1/14*d**4 + p*d**2 + 2/7*d**3 - 8/7*d. Solve j(x) = 0 for x.
-1, 2
Let l(x) be the third derivative of -x**7/3780 + x**6/2160 + x**5/360 + x**4/24 - 3*x**2. Let v(n) be the second derivative of l(n). Factor v(y).
-(y - 1)*(2*y + 1)/3
Let h(x) be the third derivative of -x**5/75 + 2*x**4/15 - 8*x**3/15 + 17*x**2. Factor h(o).
-4*(o - 2)**2/5
Let x = 1178/9 + -130. Solve -2/9 - 8/9*i**3 + 2/9*i**2 + x*i = 0 for i.
-1, 1/4, 1
Let q(x) be the third derivative of x**7/1440 + x**6/1440 - x**4/24 - 7*x**2. Let y(c) be the second derivative of q(c). Suppose y(j) = 0. What is j?
-2/7, 0
Let y(o) be the first derivative of o**6/30 - o**5/40 - o**3 - 1. Let l(p) be the third derivative of y(p). Determine b, given that l(b) = 0.
0, 1/4
Let b(z) = -2*z**2 + 1. Let y(r) = 9*r**2 + 36*r + 320. Let f(a) = -4*b(a) - y(a). Determine v, given that f(v) = 0.
-18
Let g = 2274/6193 + -2/563. Factor 14/11*w**2 - 18/11*w + g.
2*(w - 1)*(7*w - 2)/11
Let b be (80/32)/(2/4). Let i(l) = -l + 5. Let g be i(b). Let 2/3*m**2 + g - 2/3*m**4 + 2/3*m - 2/3*m**3 = 0. Calculate m.
-1, 0, 1
Let q(b) be the second derivative of -b**6/75 + b**5/25 - 2*b**3/15 + b**2/5 - 6*b. Suppose q(u) = 0. Calculate u.
-1, 1
Suppose -2*u = -7*u, -3*m = 3*u - 6. Solve -k + 16 + 7*k + k**2 + m*k = 0 for k.
-4
Let d(c) = -2*c - 5. Let p be d(-5). Suppose -2*k**2 + 6*k**2 - 4*k**4 - 124*k**p + 2*k**3 + 122*k**5 = 0. Calculate k.
-2, -1, 0, 1
Suppose 2*g + 3*g - 15 = 0. Let j(x) be the third derivative of 1/15*x**7 + 0*x**g - 1/15*x**5 - 1/12*x**6 - 2*x**2 + 0 + 0*x + 0*x**4. Factor j(l).
2*l**2*(l - 1)*(7*l + 2)
Let p(c) be the third derivative of -c**5/80 + 3*c**4/16 - 9*c**3/8 + 21*c**2. Factor p(q).
-3*(q - 3)**2/4
Let n be 120/35 + 2 - 5. Factor 0*g**2 + 6/7*g**3 - 3/7 - 6/7*g + n*g**4.
3*(g - 1)*(g + 1)**3/7
Let j(b) be the first derivative of -2/15*b**3 - 2 - 2/5*b - 2/5*b**2. Determine d so that j(d) = 0.
-1
Let u(q) = -3*q**2 - 2*q - 6. Let g(o) = -7*o**2 - 3*o - 11. Let i(h) = 6*g(h) - 11*u(h). Suppose i(r) = 0. Calculate r.
0, 4/9
Let h(c) be the second derivative of c**5/5 - 12*c**4 + 288*c**3 - 3456*c**2 - 4*c. Factor h(b).
4*(b - 12)**3
Let w(m) be the second derivative of 3*m**5/40 + 3*m**4/8 + m**3/2 + 5*m. Factor w(h).
3*h*(h + 1)*(h + 2)/2
Let u(f) be the second derivative of -f**7/7140 - f**6/3060 + f**5/1020 + f**4/204 - 2*f**3/3 - f. Let z(l) be the second derivative of u(l). Factor z(d).
-2*(d - 1)*(d + 1)**2/17
Let s(r) be the second derivative of 1/48*r**4 + 0*r**3 - 1/80*r**5 + 0 + 0*r**2 + 5*r. Factor s(k).
-k**2*(k - 1)/4
Factor 1/2*j**2 - 2 - 2*j + 1/2*j**3.
(j - 2)*(j + 1)*(j + 2)/2
Let g(u) = u**2 - 6*u + 5. Let h be g(4). Let z = -1 - h. Suppose -z + 5*m - 2*m**3 + 4*m**3 - 6*m**2 + m = 0. What is m?
1
Let k(j) be the first derivative of -j**6/1620 + j**5/135 - j**4/27 - j**3 - 2. Let r(l) be the third derivative of k(l). What is y in r(y) = 0?
2
Let q(i) = -i**2 - i + 1. Suppose -5*w + 0*w = -10. Let k = 4 - w. Let l(z) = 4*z**2 + 2*z - 7. Let a(m) = k*l(m) + 10*q(m). Factor a(v).
-2*(v + 1)*(v + 2)
Let x(t) be the first derivative of -3/14*t**2 + 3/7*t + 2 - 1/7*t**3 + 3/28*t**4. Let x(g) = 0. What is g?
-1, 1
Let z(b) = -4*b**3 + 3*b - 1. Let s be 0/((-1)/(-1)) + -3. Let m(v) = -11*v**3 + 9*v - 2. Let t(w) = s*m(w) + 8*z(w). Find g such that t(g) = 0.
-1, 2
Let x(h) = 11*h**3 - 7*h**2 - 19*h + 1. Let l(p) = 6*p**3 - 4*p**2 - 10*p. Let m(q) = 7*l(q) - 4*x(q). Find w such that m(w) = 0.
-2, 1
Suppose 9 = -10*z + 13*z. Factor 0*h**2 + 3/2*h**4 + 0*h**z + 0*h + 0.
3*h**4/2
Suppose -9 = -2*g - 1. Let m(w) be the first derivative of 1 + 1/4*w**g + 1/2*w**3 + 1/2*w**2 + 1/20*w**5 + 1/4*w. Factor m(u).
(u + 1)**4/4
Factor -2*t**5 - 4*t**4 - t**5 + 7*t**5.
4*t**4*(t - 1)
Let t = 8 + -6. Factor 3*v**2 - 4*v**3 + v**t - 3 + v**4 + 3.
v**2*(v - 2)**2
Let c(z) be the second derivative of 9/40*z**5 - 2*z + 0*z**3 - 1/12*z**4 + 0 + 0*z**2. Factor c(j).
j**2*(9*j - 2)/2
Let g = 67411/70 + -963. Let f(y) be the second derivative of 0*y**2 - y - g*y**5 + 0 + 0*y**3 - 1/105*y**6 + 0*y**4. Factor f(i).
-2*i**3*(i + 1)/7
Let o = -62 + 62. Let j(q) be the third derivative of 1/600*q**6 - 1/120*q**4 - 1/1050*q**7 + 1/300*q**5 + 0*q**3 + 2*q**2 + 0 + o*q. What is l in j(l) = 0?
-1, 0, 1
Let b be 0/10 - 2*2. Let h be ((-38)/36 + 1)*b. Find a, given that 0*a**3 + 4/9*a**2 + 0*a - h - 2/9*a**4 = 0.
-1, 1
Let w be 3/342*(-2 + 4). Let q = 347/285 - w. Determine z so that -4/5*z**4 - 2/5*z**2 + 0 - q*z**3 + 0*z = 0.
-1, -1/2, 0
Suppose 40 = 3306*a - 3298*a. Factor -4/9 + 8/9*n**4 + 2/9*n**a + 8/9*n**3 - 4/9*n**2 - 10/9*n.
2*(n - 1)*(n + 1)**3*(n + 2)/9
Let w(g) be the second derivative of -5*g**7/14 + 4*g**6/3 - g**5/4 - 10*g**4/3 + 10*g**3/3 + 29*g. Solve w(d) = 0.
-1, 0, 2/3, 1, 2
Let s(t) be the first derivative of -t**6/45 + t**5/10 - t**4/9 - 5*t + 5. Let n(v) be the first derivative of s(v). Determine d so that n(d) = 0.
0, 1, 2
Let d = -11/9 - -58/45. Let m(g) be the third derivative of 0*g - 2*g**2 - 1/6*g**4 + 0 + d*g**6 - 1/30*g**5 + 0*g**3 + 1/35*g**7. Factor m(n).
2*n*(n + 1)**2*(3*n - 2)
Find l such that -2*l + 4*l**2 - 2*l**3 - 2*l**3 + 2*l**3 = 0.
0, 1
Let j = 2/45 - 77/45. Let n = 13/6 + j. Factor -n*a - 1/4 - 1/4*a**2.
-(a + 1)**2/4
Let t(z) = -9*z + 399. Let y be t(44). Factor 2/3*p**2 - 2/3 + 3*p - 3*p**y.
-(p - 1)*(p + 1)*(9*p - 2)/3
Let d(x) be the second derivative of 4*x**6/15 - x**5/10 - 2*x**4/3 + x**3/3 - 5*x - 1. Factor d(w).
2*w*(w - 1)*(w + 1)*(4*w - 1)
Let v(i) = 19*i**2 + 120*i + 587. Let c(n) = -3*n**2 - 20*n - 98. Let k(p) = 39*c(p) + 6*v(p). Suppose k(b) = 0. What is b?
-10
Let y(z) = -z**3 + 2. Let o be y(0). Let h**o - 3 + 2*h**2 - 6*h - 6*h**2 = 0. Calculate h.
-1
Let h be (1 + -4)/((-12)/16). Suppose 3*c - 2 - h = 0. Solve 2 - u**2 + 2*u**c - u**3 - 3 + u = 0 for u.
-1, 1
Suppose 3*j = 5*i - 7, -j + i = -0*j - 1. Suppose -4*m = -22 + j. Let -4*k**5 - k**5 + 6*k**3 + 2*k**2 + 3*k**5 - 2*k**4 - m*k = 0. Calculate k.
-2, -1, 0, 1
Let i(j) be the third derivative of -j**5/330 + 3*j**4/44 - 8*j**3/33 - 22*j**2. Determine t so that i(t) = 0.
1, 8
Let s be (-8)/(-20)*-1*20. Let h be s/6 - (-38)/15. Solve 0*m - h*m**3 - 2/5*m**5 + 6/5*m**4 + 2/5*m**2 + 0 = 0 for m.
0, 1
Suppose -67*h - 4 = -68*h. What is y in 3/4*y + 0 + 3/4*y**h - 3/4*y**3 - 3/4*y**2 = 0?
-1, 0, 1
Let g = -83 + 86. Solve 3/4*i + 1/4*i**g - 3/4*i**2 - 1/4 = 0.
1
Let f(s) be the third derivative of -3/70*s**7 + 3/40*s**6 + 0 - 1/20*s**5 + 0*s + 5*s**2 + 1/112*s**8 + 0*s**3 + 0*s**4. Suppose f(x) = 0. What is x?
0, 1
Suppose 4*r = -2*n - 3*n + 95, -n + 2*r = -33. Let o be n/21 + 21/(-49). Factor -2/3 + 0*i + o*i**2.
2*(i - 1)*(i + 1)/3
Let d(s) be the second derivative of s**5/10 + s**4 + 3*s**3 + 3*s. Determine h so that d(h) = 0.
-3, 0
Let a(n) = n**3 - 3*n**2 + 5*n - 3. Let p be a(1). Solve -21/2*j**5 + p*j + 0 + 6*j**3 - 2*j**2 + 13/2*j**4 = 0 for j.
-2/3, 0, 2/7, 1
Let f(k) be the second derivative of -k**6/180 + k**4/12 + k**3/2 + 3*k. Let w(j) be the second derivative of f(j). Let w(l) = 0. What is l?
-1, 1
Let g(q) be the third derivative of q**6/150 - 3*q**5/20 + 9*q**4/10 + 18*q**3/5 + 67*q**2. What is w in g(w) = 0?
-3/4, 6
Suppose -11 = -w + 4*j, -2*w + 0*j = 2*j - 2. Determine y, given that 4*y**w - 4*y**3 + 3*y**3 = 0.
0
Let v(j) be the first derivative of -j**5/90 + j**4/36 + 2*j**3/9 + j**2 + 3. Let x(u) be the second derivative of v(u). Let x(i) = 0. Calculate i.
-1, 2
Let v(w) = w**2 - 3*w + 1. Let f be v(4). Let k(n) be the third derivative of 0*n + 0 - 2/3*n**3 + 49/240*n**6 - 21/20*n**f - 3*n**2 + 5/4*n**4. Factor k(u).
(u - 2)*(7*u - 2)**2/2
Let j(q) be the third derivative of 1/21*q**4 + 1/735*q**7 + 4/21*q**3 + 0 + q**2 - 1/210*q**6 - 1/70*q**5 + 0*q. Find t such that