14*k + 0 + 77/4*k**4 + 147/20*k**5 + 16*k**3. Suppose f(q) = 0. Calculate q.
-1, -2/7
Factor 2*k**2 - 3*k + 4*k - 16 + 0*k - k + 4*k.
2*(k - 2)*(k + 4)
Suppose 0 = 27*i - 26*i - 2. Let w(r) be the first derivative of 2*r**2 - 2/3*r + 3 - i*r**3. Let w(l) = 0. What is l?
1/3
Let l(g) be the second derivative of g**4/42 - g**3/3 + 12*g**2/7 - 8*g + 1. Factor l(h).
2*(h - 4)*(h - 3)/7
Let o(y) be the second derivative of -y**7/28 + 17*y**6/120 + 31*y**5/120 + y**4/8 + 15*y**2/2 + 12*y. Let q(f) be the first derivative of o(f). Solve q(j) = 0.
-2/5, -1/3, 0, 3
Suppose -11*m = -10*m + 2*n + 4, 4 = -2*n. Factor 1/3*h**2 - h**4 + m - 4/3*h**3 + 2/3*h.
-h*(h + 1)**2*(3*h - 2)/3
Suppose -229*y + 30*y + 597 = 0. Solve 3/4*i**2 + 3/4*i + 1/4 + 1/4*i**y = 0 for i.
-1
Let y(j) be the second derivative of j**6/30 - 11*j**5/20 + 11*j**4/3 - 38*j**3/3 + 24*j**2 + 3*j. Factor y(u).
(u - 4)*(u - 3)*(u - 2)**2
Let b(t) be the third derivative of t**9/5040 - t**8/1120 + t**7/840 + 5*t**4/24 - 3*t**2. Let u(j) be the second derivative of b(j). Factor u(d).
3*d**2*(d - 1)**2
Let d(g) = 10*g**2 + 37*g - 170. Let q(y) = 3*y**2 + 12*y - 57. Let h(l) = 3*d(l) - 8*q(l). Let h(s) = 0. What is s?
-9/2, 2
Let q(d) be the second derivative of d**6/165 - d**5/55 - 4*d**4/33 + 13*d. Let q(c) = 0. Calculate c.
-2, 0, 4
Let r(s) = s**5 - 2*s**3 - s**2 + s + 1. Let v(w) = 4*w**4 - 2*w**3 - 11*w**2 + 2*w + 7. Let t(u) = -r(u) + v(u). What is b in t(b) = 0?
-1, 1, 2, 3
Let q(l) be the first derivative of -l**4/8 + 3*l**3/2 - 6*l**2 + 10*l + 113. Solve q(x) = 0 for x.
2, 5
Let s(b) be the third derivative of 0*b + 0 + 1/60*b**5 + 1/6*b**4 + 2/3*b**3 + 11*b**2. Let s(d) = 0. What is d?
-2
Determine v so that 60*v**4 - 115*v**4 + v**2 + v**3 - 7*v**2 - 9*v**3 + 53*v**4 = 0.
-3, -1, 0
Solve 3/4 - 7/4*v**3 + 7/4*v - v**4 + 1/4*v**2 = 0.
-1, -3/4, 1
Let z(i) be the second derivative of -i**5/40 + i**4/16 - i**3/24 + 761*i. Factor z(v).
-v*(v - 1)*(2*v - 1)/4
Let i(t) be the first derivative of t**4/16 + 3*t**3/2 + 47*t**2/8 + 15*t/2 + 87. Find c such that i(c) = 0.
-15, -2, -1
Let i(q) be the first derivative of -q**6/1980 + q**5/30 - 11*q**4/12 - 3*q**3 - 40. Let y(f) be the third derivative of i(f). Factor y(v).
-2*(v - 11)**2/11
Let b = -45 + 50. Let x be b + -5 + (-6)/(-21). Let 8/7*n**2 - 2/7*n**3 + 0 - x*n**4 + 8/7*n = 0. What is n?
-2, -1, 0, 2
Let a(z) = z**3 + z**2 - 1. Let m(l) = 9*l**3 + 13*l**2 + 8*l - 4. Let c = -10 - 30. Let f(n) = c*a(n) + 5*m(n). Determine o so that f(o) = 0.
-2, -1
Let h(p) be the second derivative of -p**5/4 - 175*p**4/12 - 335*p**3/6 - 165*p**2/2 + 404*p. What is g in h(g) = 0?
-33, -1
Let j(n) = n**2 + n - 1. Let u(d) = 9*d**2 - 6*d + 3. Let k = 36 + -35. Let w(g) = k*u(g) - 6*j(g). Find v, given that w(v) = 0.
1, 3
Let y(c) be the third derivative of c**8/1848 + c**7/385 - c**6/330 - c**5/55 + c**4/132 + c**3/11 - 2*c**2 + 4. Let y(p) = 0. What is p?
-3, -1, 1
Let a = 65287/645 + 96/215. Determine k so that a*k**3 + 100/3*k**4 + 76/3*k + 82*k**2 + 8/3 = 0.
-2, -2/5, -1/4
Let a(z) = -z**3 - 14*z**2 + z + 28. Let s be a(-14). Let v = 17 - s. Factor 0 - 9/4*x**2 + 3/2*x + 3/4*x**v.
3*x*(x - 2)*(x - 1)/4
Let g = 4/12187 + 24298/231553. Factor 24/19*p - g*p**2 + 26/19.
-2*(p - 13)*(p + 1)/19
Let y(k) be the second derivative of -k**6/6 - 3*k**5/4 + 10*k**3/3 + 7*k + 1. Let y(n) = 0. Calculate n.
-2, 0, 1
Find q, given that 6909*q + 144*q**2 - 14876*q**3 - 59*q**2 + 14879*q**3 + 206*q**2 - 7203 = 0.
-49, 1
Let v(u) be the first derivative of -u**2 + u - 2. Let h be v(-1). Solve 3 - 12*w**2 - 3*w**h - 15*w - 1 - 8 = 0.
-2, -1
Solve -4010 - 10*j + 2*j**2 + 7985 - 3987 = 0 for j.
-1, 6
Let t(g) = -3*g**3 + 3*g + 6. Let v be (-9 - -4)*(-2)/10. Let w(i) = v - 2 - 4*i - 5 + 2*i**3 + i**3. Let s(y) = -5*t(y) - 6*w(y). Let s(z) = 0. What is z?
-1, 2
Let b = 34 - 32. Find y such that -y**3 + 162*y - 2*y**2 + 4*y**b - 163*y = 0.
0, 1
Let x(g) = g**2 - 4*g + 2. Let r be x(5). Suppose -r*n - 12 = -11*n. Determine y, given that 0*y + 8*y**4 + 4*y**n + 1/2*y**2 + 0 = 0.
-1/4, 0
Let k(l) be the second derivative of 0*l**4 + 0*l**6 + 0*l**2 + 0 - 1/27*l**3 - 4*l + 1/45*l**5 - 1/189*l**7. Factor k(i).
-2*i*(i - 1)**2*(i + 1)**2/9
Let z(v) be the first derivative of -15 + 2*v**3 + 0*v - 1/2*v**4 + 4*v**2. Let z(x) = 0. Calculate x.
-1, 0, 4
Let c be 13*-1*(-2)/40. Let b = c - -1/10. Suppose b + l + 1/4*l**2 = 0. What is l?
-3, -1
Factor 3*q**2 + 11392 - 345*q - 27*q + 140.
3*(q - 62)**2
Let a(f) be the third derivative of -f**6/160 + 211*f**5/240 - 3745*f**4/96 + 1225*f**3/24 + f**2 - 33*f. Factor a(g).
-(g - 35)**2*(3*g - 1)/4
Suppose -21*d = -2*z - 51, -6 + 30 = 4*z. What is m in -5/7*m**d - 4/7 + m**2 + 8/7*m = 0?
-1, 2/5, 2
Find h such that -9*h**2 + 3*h**4 - 10*h**3 - 11*h - 8*h**3 + 6 + 2*h**3 - 2*h**5 + 29*h**3 = 0.
-2, -1, 1/2, 1, 3
Let -7030 - 4592*z**4 - 79232*z**2 + 196*z**5 + 387 - 1549 - 54272*z + 34960*z**3 = 0. Calculate z.
-2/7, 8
Let o(z) be the second derivative of -8*z + 0 + 1/6*z**6 - 1/4*z**5 + 0*z**3 + 0*z**4 + 0*z**2. Factor o(x).
5*x**3*(x - 1)
Let s(d) be the first derivative of d**3/3 - 11*d**2 + 121*d - 8. Factor s(p).
(p - 11)**2
Let c be (-1*8)/(8/(-12)). Suppose 8 + c = d - 4*i, -3*d - 2*i + 4 = 0. Factor a**2 - a + d - 4 + 2*a.
a*(a + 1)
Let l(n) = -n**2 - n. Let g(k) = -150*k**2 + 130*k + 10. Let x(i) = -5*i**3 - 2*i**2 - i + 1. Let d be x(-1). Let o(c) = d*l(c) - g(c). Factor o(p).
5*(p - 1)*(29*p + 2)
Let r = -36 - -51. Factor -r*u - 2*u**2 + 2*u**2 + 5*u**2.
5*u*(u - 3)
Factor 34/15*v**2 + 64/15*v + 8/5 + 4/15*v**3.
2*(v + 2)*(v + 6)*(2*v + 1)/15
Suppose 5*p + 20 = 3*l + l, 5*p + 2*l + 20 = 0. Let a be (-9)/72*p*5/2. Let 1/4 + t**2 - a*t = 0. What is t?
1/4, 1
Let y = -1/3404 + 2573/68080. Let u(j) be the second derivative of 2*j - 1/4*j**4 + 0*j**2 + 0 - 1/2*j**3 - y*j**5. Let u(p) = 0. Calculate p.
-2, 0
Let w = 259/1270 + -1/254. Factor -3/5*y**2 + w*y**3 + 2/5 - 1/5*y + 1/5*y**4.
(y - 1)**2*(y + 1)*(y + 2)/5
Let p(k) = -4*k + 154. Let t be p(36). Suppose b = -t + 10. Factor 5/3*v + b + 5/3*v**2.
5*v*(v + 1)/3
Suppose -1/8*d**3 + 3/4 + 7/8*d**2 - 1/8*d**4 + 13/8*d = 0. Calculate d.
-2, -1, 3
Let u = 39023 - 39021. Factor 900*w**u + 2/3*w**4 + 33750 + 9000*w + 40*w**3.
2*(w + 15)**4/3
Let 115*h + 25*h**3 - 105*h**2 + 5*h**4 + 202 - 497 + 255 = 0. What is h?
-8, 1
Suppose 3*h - 14 - 16 = 0. Let c be (-22)/(-6) + h/(-15). Factor 4*v**4 - 3*v**c + 3*v**5 + 3*v**2 - 3*v**4 - 4*v**4.
3*v**2*(v - 1)**2*(v + 1)
Let r(t) be the third derivative of -1/48*t**5 - 7/96*t**4 - 1/8*t**3 - 23*t**2 - 1/480*t**6 + 0 + 0*t. Suppose r(q) = 0. What is q?
-3, -1
Let t = 1126 - 1122. Suppose -a**2 + 1/3*a**t + 0 + 2/3*a + 0*a**3 = 0. Calculate a.
-2, 0, 1
Let a(k) be the third derivative of 5/6*k**4 + 9*k**2 + 1/42*k**7 + 0*k + 0 + 1/6*k**6 + 1/2*k**5 + 5/6*k**3. Factor a(t).
5*(t + 1)**4
Let s(n) be the second derivative of 1/2*n**6 + n**4 + 0*n**3 + 0 - 18*n + 0*n**2 + 1/14*n**7 + 6/5*n**5. Suppose s(u) = 0. What is u?
-2, -1, 0
Let x(a) be the second derivative of a**4/84 - 43*a**3/42 + 41*a**2/7 + 186*a. Suppose x(h) = 0. What is h?
2, 41
Let c = 3049/51 - 179/3. Let v = 28/51 + c. Determine q, given that -v*q**3 - 8/3 + 2*q**2 + 0*q = 0.
-1, 2
Let h = 9 - 7. Let s be h*2 - (5 - 4). Find w, given that -48*w**3 + 42*w**s + 6*w - 3*w**4 + 0*w**4 + 3 = 0.
-1, 1
Let o be ((-2)/(-2))/((-23)/((-92)/84)). Let k(d) be the second derivative of -o*d**4 + 5*d + 0*d**2 - 8/21*d**3 + 0. Suppose k(l) = 0. What is l?
-4, 0
Let t(l) be the second derivative of 2*l**7/7 + 4*l**6/15 - 2*l**5 + 14*l**3/3 - 4*l**2 - 6*l - 31. Determine b so that t(b) = 0.
-2, -1, 1/3, 1
Let z(r) be the third derivative of r**6/24 - r**5/2 + 15*r**4/8 - 10*r**3/3 - 547*r**2. Factor z(x).
5*(x - 4)*(x - 1)**2
Suppose 15*c - 27 = 33. Let m(i) be the second derivative of 0 + 1/9*i**c + 0*i**2 - 7*i - 1/9*i**3 - 1/30*i**5. Factor m(v).
-2*v*(v - 1)**2/3
Let 11 + a**3 + 13*a**2 + 9 - 5*a**2 + 24 - a**2 - 40*a = 0. Calculate a.
-11, 2
Let a(z) be the first derivative of -28/3*z**3 + 0*z - 4*z**5 - 35 + 2/3*z**6 + 4*z**2 + 9*z**4. Factor a(r).
4*r*(r - 2)*(r - 1)**3
Let j(q) = -q + 15. Let c be j(11). Let y be -2 - (0 - (8 - c)). Factor z**y + 4*z**4 - 17*z**3 + 8*z + 12*z**2 + 11*z**2 - 21*z 