*3 - 5*a**2 - 3*a**4 - 22*a**2 = 0?
0, 1, 9
Suppose -3*y = -164 + 140. What is s in -12*s**3 + y*s**2 + 6 + 76*s + 49 - 31 = 0?
-2, -1/3, 3
Let m(a) be the second derivative of 1/40*a**5 - 1/2*a**4 - 25/2*a**2 - 101*a + 0 + 15/4*a**3. Factor m(q).
(q - 5)**2*(q - 2)/2
Let -34*b**2 + 136/3 - 40/3*b**3 - 2/3*b**4 + 8/3*b = 0. What is b?
-17, -2, 1
Let g = 146 + -110. Let m be g*(1 + 2)*(-9)/(-594). Find h such that 2/11*h**5 + 0 + 30/11*h**3 - 14/11*h**4 - m*h**2 + 0*h = 0.
0, 1, 3
Let d be (3 + 7 + -8)*46/4. Factor d*p**4 - 2*p**5 + 8*p**4 - 15*p**4.
-2*p**4*(p - 8)
Factor 9/5*k**2 - 16/5 + 32/5*k.
(k + 4)*(9*k - 4)/5
Let j(d) be the first derivative of 27 + 1/70*d**5 - 1/105*d**6 - 4/7*d**3 + 0*d**2 + 4/21*d**4 - 22*d. Let w(a) be the first derivative of j(a). Factor w(r).
-2*r*(r - 2)**2*(r + 3)/7
Suppose 4247 = -3*m + 2*f, -2*m - 8*f = -11*f + 2828. Let l = m - -1419. Factor 4/11 - 6/11*z**l + 10/11*z.
-2*(z - 2)*(3*z + 1)/11
Let i(s) = -18*s**2 - 48*s - 336. Let a(n) = 8*n**2 + 26*n + 168. Let c(h) = -7*a(h) - 3*i(h). Factor c(k).
-2*(k + 7)*(k + 12)
Let c(l) be the second derivative of -l**6/120 + 5*l**5/16 - 23*l**4/24 + 8*l + 135. Find z, given that c(z) = 0.
0, 2, 23
Let p(y) be the second derivative of y**4/27 - 32*y**3/9 + 184*y**2/9 + 2*y + 39. Factor p(u).
4*(u - 46)*(u - 2)/9
Let t(v) = -v**3 - 11*v**2 - 8*v + 20. Let h be t(-10). Let w be (0 + h + 0)/(-5). Solve -6/13*u**2 + 0 + 2/13*u**3 + w*u = 0.
0, 3
Suppose -24*x + 48 = -12*x. Determine r, given that 232*r**2 - 230*r**2 + r**x + 4*r**3 + r**4 = 0.
-1, 0
Let j(f) = -106*f**2 + 126*f - 128. Let l(d) = 123*d**2 - 116*d + 128. Let w(q) = 5*j(q) + 4*l(q). Find g such that w(g) = 0.
1, 64/19
Let s(p) be the first derivative of p**7/210 + p**6/15 + 7*p**5/20 + 3*p**4/4 - p**2 + 4*p - 56. Let v(g) be the second derivative of s(g). Factor v(b).
b*(b + 2)*(b + 3)**2
Let g be 103 - 15 - (-4)/1. Suppose 0 = 9*q - 13*q + g. Factor -15 + 33 + 2*r**2 + q*r + 9*r + 110.
2*(r + 8)**2
Let d(w) be the second derivative of -5/6*w**6 - 37/4*w**5 - 155/12*w**4 + 5/6*w**7 - 5*w**3 + 24*w - 1 + 0*w**2. Suppose d(l) = 0. What is l?
-1, -2/7, 0, 3
Solve -150/7 - 40/7*i - 2/7*i**2 = 0 for i.
-15, -5
Let a be (-11 - -1)*20/(-8). Let r = 30 - a. Determine g, given that -5*g**5 - 7*g**3 + 0*g**2 + 15*g - 3*g**3 - r + 15*g**4 - 10*g**2 = 0.
-1, 1
Let r(w) be the third derivative of 2/3*w**3 + 48*w**2 + 0 + 1/6*w**4 - 2/5*w**5 + 0*w. Let r(m) = 0. Calculate m.
-1/3, 1/2
Let t(v) be the first derivative of v**3/9 + 63*v**2/2 - 382*v/3 + 336. Factor t(l).
(l - 2)*(l + 191)/3
Let s(y) be the third derivative of y**9/90720 + y**8/10080 - y**6/270 + 3*y**5/10 - y**4/12 + 78*y**2. Let v(u) be the third derivative of s(u). Factor v(p).
2*(p - 1)*(p + 2)**2/3
Let i = 173 + -171. Factor -25*p + 24 + 50*p + 9*p**i - 30.
(p + 3)*(9*p - 2)
Let n(g) = -187*g**2 - 28*g + 1054. Let o(v) = 299*v**2 + 42*v - 1581. Let u(w) = 8*n(w) + 5*o(w). Find d such that u(d) = 0.
-31, 17
Let p be ((-21)/(-126))/((-6)/(-8)) - 615/(-270). Let t(b) be the second derivative of b - 5/24*b**4 + 5/4*b**3 - p*b**2 + 0. Factor t(l).
-5*(l - 2)*(l - 1)/2
Let o(k) = -70*k**2 + 4590*k - 4472. Let l(h) = -22*h**2 + 1530*h - 1493. Let w(x) = 16*l(x) - 5*o(x). Suppose w(t) = 0. Calculate t.
1, 764
Let s = 10227 + -10227. Let p(c) be the third derivative of s + 0*c**4 + 9*c**2 - 1/360*c**6 + 0*c + 1/45*c**5 + 0*c**3. Find i such that p(i) = 0.
0, 4
Let u = 133 - 131. Factor -q**5 + 9*q**u + 3*q**5 - 6*q**2 + 9*q**4 + 9*q**3 + q**5.
3*q**2*(q + 1)**3
Let l(p) be the first derivative of -2*p**3/3 + 133*p**2 - 780*p - 4029. Factor l(v).
-2*(v - 130)*(v - 3)
Solve -14/13*w + 120/13*w**2 - 2/13 = 0.
-1/12, 1/5
Let d(j) be the second derivative of j**7/840 + j**6/480 - j**5/240 - j**4/96 + 207*j**2/2 - 137*j. Let r(v) be the first derivative of d(v). Factor r(o).
o*(o - 1)*(o + 1)**2/4
Let b(r) be the third derivative of 2/3*r**3 + 1/90*r**5 + 2*r**2 - 5/36*r**4 - 45 + 0*r. Factor b(c).
2*(c - 3)*(c - 2)/3
Let k(y) = 26*y**4 + 2*y**3 - 10*y**2 - 7*y - 7. Let s(i) = -3*i**4 - 2*i**3 + 2*i**2 + i + 1. Let b(c) = -2*k(c) - 14*s(c). Solve b(d) = 0 for d.
0, 2/5, 2
Let t be (-28)/(-8)*(-688)/(-3612). Determine x so that -1/3*x - 7/3*x**4 + t*x**3 - 1/3*x**5 - 7/3 + 14/3*x**2 = 0.
-7, -1, 1
Let c(y) be the first derivative of 4*y**3/9 + 44*y**2/3 - 92*y/3 + 4794. Factor c(q).
4*(q - 1)*(q + 23)/3
Let w(s) be the second derivative of 2*s**7/21 + 57*s**6/5 + 126*s**5/5 - s**4/6 - 28*s**3 - 1894*s. Solve w(t) = 0.
-84, -1, 0, 1/2
Let y(n) = -2*n**2 - 341*n - 13905. Let t be y(-103). Factor 27/8 + t*j - 3/8*j**2.
-3*(j - 3)*(j + 3)/8
Let l = 341653 + -3074875/9. Suppose 3 = p + 1. What is q in 0 + 2/9*q + l*q**p = 0?
-1, 0
Let w be (-18)/(-7 - 38/(-6)). Let l = 218/3 - -401/6. Let -l*i**2 - 99/2*i**4 - w*i + 0 - 138*i**3 - 6*i**5 = 0. What is i?
-3, -2, -1/4, 0
Let o(p) = -9*p**4 - 144*p**3 + 289*p**2 + 17*p - 17. Let l(z) = 3*z**4 + 48*z**3 - 99*z**2 - 6*z + 6. Let d(g) = 17*l(g) + 6*o(g). Solve d(w) = 0 for w.
-17, 0, 1
Let r = -1580 - -3163/2. Let u(q) be the second derivative of 1/24*q**4 - 7/12*q**3 + 0 + 17*q + r*q**2. Suppose u(n) = 0. Calculate n.
1, 6
Let f = 118 + -30. Suppose 14*z - 36*z + f = 0. Factor 0*b**3 + 1/2 - 1/6*b**z + b**2 - 4/3*b.
-(b - 1)**3*(b + 3)/6
Let k(z) = 9*z + 65. Let y be k(-7). Let q(s) = -s - 1. Let r(i) = 8*i + 0 - i - 9 - 2*i**2. Let c(n) = y*r(n) - 2*q(n). Determine p, given that c(p) = 0.
2
Let g be -1 + (-177)/(-21) + 4/7. Suppose 0 = -t + 4*n + 22, 5*t - 7*n - 5 = -g*n. Determine q, given that -q**3 - 3*q**3 - 7*q**4 + q**4 + t*q**5 + 8*q**4 = 0.
-2, 0, 1
Let r be 1*(0/(-1))/((-32 + -12)/22). Let i(h) be the third derivative of r*h**4 + 0 - 4/21*h**3 + 29*h**2 + 0*h + 1/210*h**5. Suppose i(f) = 0. Calculate f.
-2, 2
Let m = 418129 - 2926897/7. Let t = 5000/7 - 713. Solve -t + 3/7*b**2 + m*b = 0.
-3, 1
Let t(o) = -3*o**2 - 27. Let h be t(-9). Let m = h - -274. Factor 0 + 0*a**2 + 0*a**3 + 0*a + 5/3*a**5 - 5/3*a**m.
5*a**4*(a - 1)/3
Let c(m) be the first derivative of 5*m**3/3 - 2065*m**2/2 + 2060*m - 706. Let c(n) = 0. What is n?
1, 412
Let g(v) = v**2 + 2*v - 52. Let x be g(7). Let h be 4 - x/110*0. Find m such that -2/3*m**2 + 0*m - 2/3*m**h - 4/3*m**3 + 0 = 0.
-1, 0
Let l(h) = -h + 9. Let d be l(7). Let u be (-36)/(-104) + (-206)/(-1339). Solve 1/4*i**3 - u + 0*i**d - 3/4*i = 0 for i.
-1, 2
Let y(v) be the first derivative of v**6/36 - v**4/2 + 8*v**3/9 - 442. Let y(s) = 0. Calculate s.
-4, 0, 2
Let d(n) be the second derivative of 17*n**7/14 - 84*n**6/5 + 243*n**5/4 + 25*n**4/2 + 1020*n. Factor d(z).
3*z**2*(z - 5)**2*(17*z + 2)
Let b(f) be the first derivative of f**5/4 + 5*f**4/2 + 55*f**3/6 + 15*f**2 + 83*f + 97. Let q(z) be the first derivative of b(z). Determine u so that q(u) = 0.
-3, -2, -1
Let p = 37 + -35. Suppose 2*l - 10 = -f, 0*l + 16 = p*f + 3*l. Factor -2*r**3 + 4*r - 4 - 29*r**f + 30*r**2 + r**3.
-(r - 2)*(r - 1)*(r + 2)
Let v = -12 + -8. Let c = v - -23. Factor 212*q**5 + 8*q**4 - 4*q**2 + 10*q - 4 - 214*q**5 - 9*q**c + q**3.
-2*(q - 2)*(q - 1)**3*(q + 1)
Let j(b) = 11*b**3 - 17*b**2 + 9*b. Let y(n) = 3 - 25*n - 1 - 2 - 2*n**4 + 52*n**2 - n**3 - 32*n**3. Let m(t) = -8*j(t) - 3*y(t). Determine i so that m(i) = 0.
-3, 0, 1/6, 1
Suppose -3*w = x - 17, 3541*w - 4*x = 3539*w - 40. Solve 0 + 0*g + 0*g**3 - 2/7*g**5 + 0*g**w + 2/7*g**4 = 0 for g.
0, 1
Factor -18 - 1/8*p**2 - 37/4*p.
-(p + 2)*(p + 72)/8
Determine g, given that -403*g - 196*g**2 - 205*g**2 - 500*g - 156*g**4 + 1065*g - 83*g**2 - 2*g**5 + 480*g**3 = 0.
-81, 0, 1
What is q in 14 - 158/7*q**4 + 748/7*q**3 + 10/7*q**5 + 38*q - 964/7*q**2 = 0?
-1/5, 1, 7
Suppose 10*b - 30 = 5*j, 2*j - 3*b - 13 + 20 = 0. Let s(i) be the first derivative of -8*i**2 + j + 12*i + 4/3*i**3. Factor s(n).
4*(n - 3)*(n - 1)
Let o be -2 + (-14)/(-12) + 1475*(-49)/(-51450). Factor 10/7*f + 8/7*f**2 + 2/7*f**3 + o.
2*(f + 1)**2*(f + 2)/7
Let a be (-7 - (-6 + 1))*-11. Factor -7 + a*t + 197*t**2 - 199*t**2 + 22 + 9.
-2*(t - 12)*(t + 1)
Let g be (4/(-14))/((-87)/21 - -4). Factor 404*l**3 - 8*l**g - 342 + 54 - 336*l - 368*l**3 - 4*l**4.
-4*(l - 6)**2*(l + 1)*(l + 2)
Let d(q) be the second derivative of q + 29 + 1/20*q**5 + 4/3*q**3 + 7/12*q**4 - 8*q**2. Factor d(n).
(n - 1)*(n + 4)