 + 0*f**t. Factor n(d).
2*d**4*(d - 1)
Suppose -42*a = -211*a + 92*a + 231. Factor 24/11 + 8/11*w - 2/11*w**a - 6/11*w**2.
-2*(w - 2)*(w + 2)*(w + 3)/11
Let y(f) = f**3 - 8*f**2 + 18*f - 75. Let g be y(7). Suppose -86*u = 315 - 573. Solve 14/3*m**u + 8/3 + 16/3*m - 38/3*m**g = 0.
-2/7, 1, 2
Let r(s) be the first derivative of -2*s**3/15 + 3806*s**2/5 - 7242818*s/5 + 3782. Factor r(x).
-2*(x - 1903)**2/5
Let h(w) be the third derivative of 1/48*w**4 + 1/360*w**5 + 0*w - 3*w**2 + 1/18*w**3 + 0. Factor h(m).
(m + 1)*(m + 2)/6
Let z(q) be the first derivative of q**4/8 + 313*q**3/6 + 1851*q**2/4 + 2763*q/2 + 6793. Factor z(v).
(v + 3)**2*(v + 307)/2
Solve -38*q**3 - 2*q**3 + 39*q**2 + 44*q - 4*q**5 - 40*q**4 + 34*q**2 + 15*q**2 + 232*q**2 - 280 = 0 for q.
-7, -5, -1, 1, 2
Let b(l) be the second derivative of -7*l + 0*l**2 + 9 + 3/5*l**3 - 1/5*l**4 + 1/50*l**5. Factor b(v).
2*v*(v - 3)**2/5
Let h(q) be the third derivative of -q**7/840 + q**6/30 + 101*q**5/240 + 7*q**4/8 - 2526*q**2. Solve h(t) = 0 for t.
-4, -1, 0, 21
Let d(v) be the third derivative of -v**7/1155 - 4*v**6/165 + 19*v**5/110 - 654*v**2. Suppose d(i) = 0. What is i?
-19, 0, 3
Let c = -2196802/3 - -732270. Factor -2/9*g**3 + 4/3*g**2 - c*g + 16/9.
-2*(g - 2)**3/9
Let o(p) = -112*p + 227. Let x be o(2). Let c be 1/(-5) - (-39)/120. Determine m, given that 11/8*m + 3/4 + c*m**x + 3/4*m**2 = 0.
-3, -2, -1
Let b(n) be the first derivative of n**5/50 + n**4/2 + 5*n**3 + 25*n**2 - 159*n + 246. Let v(x) be the first derivative of b(x). Find h, given that v(h) = 0.
-5
What is f in 235*f**2 + 39 - 50 + 219*f**3 - 16 + 693*f - 1120*f**2 = 0?
3/73, 1, 3
Let q(n) = -32*n**3 + 276*n**2 + 556*n - 4. Let j(z) = -25*z**3 + 275*z**2 + 557*z - 3. Let k(s) = -4*j(s) + 3*q(s). Solve k(d) = 0.
-2, 0, 70
Let s = -175624 + 878142/5. Find g, given that -4/5 - 6/5*g**2 + s*g + 2*g**4 - 22/5*g**3 = 0.
-1, 1/5, 1, 2
Let k(n) be the second derivative of -n**4/54 + 778*n**3/27 - 151321*n**2/9 - 4163*n. What is f in k(f) = 0?
389
Let o(r) be the second derivative of r**5/20 - 304*r**4/3 + 370877*r**3/6 - 368449*r**2 + r + 2098. Factor o(w).
(w - 607)**2*(w - 2)
Let d(c) be the third derivative of 0 + 0*c + 0*c**3 + 7/15*c**6 + 0*c**4 + 2/105*c**7 + 13/15*c**5 + 208*c**2. Find t such that d(t) = 0.
-13, -1, 0
Let k(p) be the first derivative of 0*p + 2/3*p**4 + 4/15*p**5 - 4/9*p**3 - 4/3*p**2 - 53. Determine w so that k(w) = 0.
-2, -1, 0, 1
Suppose 0 = 20*h - 6 + 126. Let w be h*(-3)/(-36) + (-10)/(-4). Suppose -6/11*m + 0 - 2/11*m**w = 0. What is m?
-3, 0
Let o = 1231/35 + -173/5. Suppose 4*z + 2501 = 4*w + 2469, 5*z = 2*w - 40. Factor w + o*m + 0*m**2 - 4/7*m**3.
-4*m*(m - 1)*(m + 1)/7
Let w be 6318/(-5040) - 9/30*-2. Let q = w - -36/35. Factor -3/2*a**2 - q*a**3 - 9/8*a + 0.
-3*a*(a + 1)*(a + 3)/8
Let a(k) = -31*k**4 - 3*k**3 - 55*k**2 - 51*k - 5. Let f(r) = -25*r**4 - 6*r**3 - 56*r**2 - 52*r - 4. Let o(c) = 4*a(c) - 5*f(c). Factor o(m).
m*(m + 2)**2*(m + 14)
Let u(i) be the second derivative of -i**5/15 + 2*i**4/3 - 8*i**3/3 + 34*i**2 + 154*i. Let m(c) be the first derivative of u(c). Factor m(a).
-4*(a - 2)**2
Let p be (-3)/(-2) - (-8)/((-48)/(-9)). Factor -6*k**p + 8*k + 54*k**2 - 109*k**2 + 55*k**2 - 2*k**4.
-2*k*(k - 1)*(k + 2)**2
Factor -15/4 + 11/8*a - 1/8*a**2.
-(a - 6)*(a - 5)/8
Suppose -5*h + 272*v + 50 = 277*v, -5*v = -50. Let -8/3 - 26/9*s + 28/9*s**3 + h*s**4 - 2/9*s**5 + 8/3*s**2 = 0. Calculate s.
-3, -1, 1, 4
Suppose 716*l - 8055 = 711*l. Let m = -1606 + l. Factor -25/2*k**3 - 10*k**4 + 0*k - 5/2*k**m - 5*k**2 + 0.
-5*k**2*(k + 1)**2*(k + 2)/2
Let u(b) = -b**3 - 3*b**2 - b - 14. Let j be u(-4). Let h(f) be the second derivative of 2/3*f**3 + 1/6*f**4 + j*f + 0*f**2 + 0. Determine q so that h(q) = 0.
-2, 0
Let c(u) be the second derivative of -u**5/10 + 56*u**4 - 335*u**3/3 - u - 2579. Factor c(w).
-2*w*(w - 335)*(w - 1)
Factor -1576*a - 2*a**2 + 626 + 1045 - 740*a + 2969.
-2*(a - 2)*(a + 1160)
Let c(h) be the first derivative of -h**4/4 - 15*h**3 - 154*h**2 - 444*h - 215. Solve c(u) = 0 for u.
-37, -6, -2
Let t be (-2)/(18/81)*(-7 - -1). Let n be -3*3/t*(-9 - 0). What is l in 3 + n*l**3 - 9/2*l + 0*l**2 = 0?
-2, 1
Let t(a) be the third derivative of -a**8/112 + 31*a**7/70 + 231*a**6/20 - 9*a**2 - 14*a - 2. Solve t(x) = 0 for x.
-11, 0, 42
Let s = -524 + 598. Suppose 0 = -25*o + s - 24. Factor -4/7*m**o + 8/7*m - 4/7.
-4*(m - 1)**2/7
Suppose 2*s - 3 + 1 = 0. Let r be 10/((-5)/s) - -12. Let -2*n - 12*n + r + 5*n**2 - n = 0. Calculate n.
1, 2
Suppose 0*z - 6*z**3 + 8*z - 10*z**2 - z**5 - z**5 - 16*z**2 + 34*z**2 - 8*z**4 = 0. What is z?
-2, -1, 0, 1
Let g(l) = -l**2 + 25*l + 72. Let p be g(27). Factor p + 4*v + 2*v**2 - v**2 - 19*v + 2*v**2.
3*(v - 3)*(v - 2)
Let t be (-15)/5 - 584/(-168). Suppose 30*n - 27*n = 6. Factor 4/21 + t*b - 22/21*b**n + 8/21*b**3.
2*(b - 2)*(b - 1)*(4*b + 1)/21
Suppose 6*x + 15 = 51. Let i(r) be the second derivative of -r**4 + 2/5*r**x - r**5 + 0 + 8/21*r**7 + 2/3*r**3 - 17*r + 0*r**2. Find u such that i(u) = 0.
-1, 0, 1/4, 1
Factor 0*h**4 - 20346062*h - 434*h**2 + 2*h**4 - 214*h**3 + 20345844*h.
2*h*(h - 109)*(h + 1)**2
Find q, given that 20/3*q**2 + 16/3*q - 128/3 + 2/3*q**3 = 0.
-8, -4, 2
Let b(a) = -33*a**3 + a. Let y be b(-1). Let i = y - 30. Let 0 + 22*w + 0 - 21*w - w**i = 0. Calculate w.
0, 1
Determine a, given that -1441383*a - 603*a**3 - 7792*a**2 - 2353321*a + 599*a**3 = 0.
-974, 0
Let l be ((-290)/87)/(9 + 364/(-36)). What is i in -49/4*i**5 - 36*i + 110*i**2 + 4 + 273/4*i**4 - 134*i**l = 0?
2/7, 1, 2
Suppose 29/10*k - 1/10*k**2 + 0 = 0. What is k?
0, 29
Let -32/9*a - 56/9 - 2/9*a**2 = 0. What is a?
-14, -2
Let m = -852 - -68161/80. Let l(s) be the third derivative of -2*s**2 + 0*s**5 + m*s**6 - 3/16*s**4 + 0*s + 0 + 1/2*s**3. Factor l(x).
3*(x - 1)**2*(x + 2)/2
Let g(l) = 67*l - 268. Let c be g(4). Let o be ((c/10)/4)/6. Factor 1/4*t**2 + 0 + o*t.
t**2/4
Suppose -6*m = -2*j - 3*m - 130, 0 = -5*j + 5*m - 325. Let a be 5 + j/25 - (-2 - -4). Let 2/5*b**3 + 6/5*b**2 + a + 6/5*b = 0. What is b?
-1
Let t(r) = -35*r**3 - 45*r**2 - 10*r - 6. Let j(q) = 65*q**3 + 89*q**2 + 18*q + 10. Let a(u) = 3*j(u) + 5*t(u). Factor a(z).
2*z*(z + 2)*(10*z + 1)
Let o be (-11 - 1)/(-63 - -60). Let 45/8*k**3 - 15/8*k**2 - 6*k + 3/8*k**5 - 21/8*k**o + 9/2 = 0. Calculate k.
-1, 1, 2, 3
What is c in 326*c + 6*c**3 + 80*c + 530*c - 84 - 682 + 259 + 153*c**2 = 0?
-13, 1/2
Let r(j) be the first derivative of 18*j**2 - 28/3*j**3 + 9/4*j**4 - 16*j - 1/5*j**5 - 238. Factor r(u).
-(u - 4)*(u - 2)**2*(u - 1)
Suppose -10*p + 4 = -16. Suppose 3*z = -h + 11, -2*h = -p*z - 4*h + 14. Factor -1/4*y + 1/4*y**z + 0.
y*(y - 1)/4
Let a(v) be the first derivative of 21*v**4/4 + 33*v**3 - 60*v**2 + 2359. Determine b, given that a(b) = 0.
-40/7, 0, 1
Let b(a) be the first derivative of a**5 + 51*a**4/2 - 304*a**3/3 - 51*a**2 + 299*a - 14563. Solve b(f) = 0.
-23, -1, 1, 13/5
Let m = -16 + 18. Let i be m/(5/(-20)*-2). Let 4*p**5 + 2*p**3 + 4*p**i + 0*p**3 - 2*p**5 = 0. Calculate p.
-1, 0
Factor -325*w**3 + 4*w**4 - 484*w + 61*w**2 + 71*w**2 + 393*w**3 + 280.
4*(w - 1)**2*(w + 5)*(w + 14)
Let z(j) be the first derivative of 4*j**3/3 - 528*j**2 + 1052*j - 1221. Solve z(h) = 0 for h.
1, 263
Let h = 6015/7 - 30033/35. Let r(z) be the first derivative of -h*z**2 + 9/5*z - 16 + 1/5*z**3. Factor r(w).
3*(w - 3)*(w - 1)/5
Suppose -47*n = -49*n + 8. Determine v, given that -39*v - v**n + 17*v**2 + v**2 - 9*v**4 + 6 - 23*v**4 + 39*v**3 + 9*v**2 = 0.
-1, 2/11, 1
Let b be (0 + -1)*(-4)/1. Let r = 78608 + -78603. Suppose 4/13*w + 54/13*w**3 - 2*w**2 + 14/13*w**r + 0 - 46/13*w**b = 0. Calculate w.
0, 2/7, 1
Let o be -7 + (1008/(-1944))/((-1)/18). Factor -o*r**3 - 26/3*r**2 + 43/3*r - 10/3.
-(r - 1)*(r + 5)*(7*r - 2)/3
Let o(i) be the first derivative of i**8/1512 + i**7/189 + i**6/90 + 3*i**2/2 - 3*i - 6. Let c(h) be the second derivative of o(h). Factor c(n).
2*n**3*(n + 2)*(n + 3)/9
Let q(p) be the second derivative of -1/30*p**5 - 4/3*p**3 - 1/3*p**4 - 43*p - 11/2*p**2 + 0. Let d(g) be the first derivative of q(g). Factor d(s).
-2*(s + 2)**2
Let y = -8433381/4 - -2108346. Factor -y*s**2 + 0 - 15/4*s + 15/4*s**3 + 3/4*s**4.
3*s*(s - 1)*(s + 1)*(s + 5)/4
Suppose -18*y = 48*y - 3168. Suppose -48 + y = 3*t. Factor 4/13*