n*x**2 - 28/17*x**3 = 0.
-2, -1, -1/2, 0
Let l be ((-90)/(-8))/((-29)/(-348)). Let r = -135 + l. Suppose 0*z + r + 3/5*z**3 - 1/5*z**4 + 0*z**2 = 0. What is z?
0, 3
Suppose -62*f + 54*f + 200 = 0. Factor 8 + 9 + f*g - 11*g**3 + 20*g**2 - 13*g**3 + 29*g**3 - 7.
5*(g + 1)**2*(g + 2)
Let z(l) be the third derivative of l**6/40 + 43*l**5/5 - 175*l**4/8 - 173*l**3 + 3765*l**2. Factor z(v).
3*(v - 2)*(v + 1)*(v + 173)
What is i in 2/5*i**2 - 198/5*i - 404/5 = 0?
-2, 101
Suppose 2651 = 5*q + 3*d, 4*d = -2*q - 2*q + 2124. Factor 0 - 437*h + q*h - 80*h**2 + 8 - 20*h**2.
-4*(h - 1)*(25*h + 2)
Let y(f) be the first derivative of 16*f**6/33 + 102*f**5/55 + 25*f**4/22 - 30*f**3/11 - 41*f**2/11 - 12*f/11 - 3203. Determine d, given that y(d) = 0.
-2, -1, -3/16, 1
Let o(t) be the first derivative of -t**3/6 - 3*t**2 - 10*t - 1063. Let o(k) = 0. Calculate k.
-10, -2
Let k(z) = 2*z + 41. Let m be k(-16). Let o(y) be the first derivative of m - 2/69*y**3 - 8/23*y + 5/23*y**2. Factor o(j).
-2*(j - 4)*(j - 1)/23
Let v = 633 - 611. Let h = v - 20. Suppose -16*r + 5*r**h - 1/2*r**3 + 16 = 0. What is r?
2, 4
Suppose -99*v + 6456 - 6258 = 0. Let p(k) be the first derivative of -272/9*k**4 - 2/9*k - 214/9*k**3 - 512/45*k**5 - 34/9*k**v - 1. Factor p(j).
-2*(j + 1)**2*(16*j + 1)**2/9
Let z = 15919 + -12973983/815. Let d = 25257/3260 + z. Factor -4 + 14*v + d*v**2 + v**3.
(v + 4)**2*(4*v - 1)/4
Let u(n) be the first derivative of 648/11*n + 66 - 26/3*n**3 + 2/11*n**4 + 1260/11*n**2. Determine y so that u(y) = 0.
-1/4, 18
Determine z so that -27282*z**2 + 399*z**3 - 2*z**5 + 3 - 195*z**4 + 27081*z**2 - z**5 - 3 = 0.
-67, 0, 1
Solve 26*r - 32 + 13/2*r**2 - 1/2*r**3 = 0.
-4, 1, 16
Let s(u) be the third derivative of -u**8/10080 - u**7/315 + 27*u**5/20 - 21*u**2 + 2*u. Let m(d) be the third derivative of s(d). What is f in m(f) = 0?
-8, 0
Let v(d) = -d**2 - 11*d + 2. Let t be v(0). Suppose 241*b**2 + 126*b - 162 + 195*b**t + 2*b**3 - 402*b**2 = 0. What is b?
-9, 1
Let y be (4 - 5) + -24 - (2 - 4). Let v = y - -32. Determine p so that v*p**2 + 4*p**3 + 6*p + 2*p**3 + 5*p - 17*p - 9 = 0.
-3/2, -1, 1
Factor -908/7*s**4 + 0*s + 0 + 51980/7*s**3 - 51076/7*s**2 + 4/7*s**5.
4*s**2*(s - 113)**2*(s - 1)/7
Let c(y) be the first derivative of y**3 - 192*y**2 + 381*y + 189. Suppose c(m) = 0. What is m?
1, 127
Suppose -12*k = -30*k. Let n(u) be the second derivative of 1/3*u**4 + 2/5*u**6 - 3/5*u**5 + 9*u + k + 0*u**2 - 2/21*u**7 + 0*u**3. Factor n(l).
-4*l**2*(l - 1)**3
Let w(g) = 13*g**3 - g**2 + 28*g + 135. Let s be w(-4). Let d = s - -8251/10. Let 1/10*i**2 + 1/10*i**3 - d*i - 1/10 = 0. Calculate i.
-1, 1
Let r(w) be the second derivative of 0 + 3/17*w**2 + 1/170*w**5 + 1/102*w**4 - 5/51*w**3 + 39*w. Factor r(b).
2*(b - 1)**2*(b + 3)/17
Let i(p) be the third derivative of -p**5/10 - 392*p**4/9 - 116*p**3/3 - 2198*p**2. Find a, given that i(a) = 0.
-174, -2/9
Let z = 1235/9 + -9853/72. What is x in 0*x + z*x**4 + 1/8*x**5 - 1/2*x**2 + 0*x**3 + 0 = 0?
-2, 0, 1
Let o = -1098/1099 + 426/157. Determine w, given that 0 + 3*w + 45/7*w**3 + 54/7*w**2 + o*w**4 = 0.
-7/4, -1, 0
Let 6293 - 21063 + 1835458*a**2 - 7395*a - 1835463*a**2 = 0. What is a?
-1477, -2
Let f(j) be the third derivative of 0 - j**2 - 2*j - 5/2*j**4 - 1/30*j**6 + 14/3*j**3 + 3/5*j**5. Factor f(l).
-4*(l - 7)*(l - 1)**2
Let a = 4019 + -4016. Let d(i) be the first derivative of 18 + 0*i**a + 0*i - 1/18*i**4 + 1/9*i**2. Suppose d(j) = 0. Calculate j.
-1, 0, 1
Let a be ((-10)/(-15))/(-1)*-3. Let h(t) = t**2 - 5*t + 6. Let j be h(4). Find o, given that 0*o**a - 10*o + 13*o**3 + 5*o**2 + 0*o**2 + j*o**3 = 0.
-1, 0, 2/3
Suppose -3*o + 4*o - 1 = -3*a, -2*o + 57 = -5*a. Let j be o/12*(-27)/(-12). Factor 2/7*y**j + 0*y**2 + 0 - 1/7*y**4 + 0*y.
-y**3*(y - 2)/7
Find k such that 27 + 973*k**3 + 949 - 1017*k**3 + 1808*k**3 + 20512*k + 107940*k**2 = 0.
-61, -2/21
Determine q, given that 59*q**2 - 486 + 40572*q + 53*q**2 + 38 + 12*q**3 - 41880*q = 0.
-16, -1/3, 7
Determine h, given that 158 + 40*h**3 - 1/2*h**4 - 160*h - 75/2*h**2 = 0.
-2, 1, 2, 79
Let w(y) be the second derivative of -4/3*y**4 + 0*y**2 + 0*y**3 + 2/21*y**7 + 0*y**5 + 0 + 163*y + 2/5*y**6. Factor w(n).
4*n**2*(n - 1)*(n + 2)**2
Factor -17*p**4 + 3*p**5 + 81*p - 3*p**2 - 108*p + 23*p + 21*p**3.
p*(p - 4)*(p - 1)**2*(3*p + 1)
Factor -4732*l - 31*l**2 + 35*l**2 + 22 + 28*l**2 - 70 - 544.
4*(l - 148)*(8*l + 1)
Let i = 93 - 68. Suppose -22*k = -i*k + 9. Suppose 0 + 13/5*n**4 + 3*n**k + 1/5*n + 7/5*n**2 + 4/5*n**5 = 0. Calculate n.
-1, -1/4, 0
Let o(w) be the second derivative of 115*w**7/63 - 19*w**6/5 - 40*w**5/3 + 340*w**4/9 - 80*w**3/3 + 16*w**2/3 + 11*w + 12. Solve o(v) = 0.
-2, 2/23, 2/5, 1, 2
Let t(h) be the second derivative of h**5/70 - 314*h**4/7 + 15*h - 48. Factor t(s).
2*s**2*(s - 1884)/7
Let y be (240/(-56))/(25/(-210)). Solve 148*j**3 + y - 16*j**4 - 20*j**2 + 7*j - 128*j - 27*j = 0.
-1, 1/4, 1, 9
Let b(d) be the second derivative of -2*d**7/35 + 17*d**6/5 + 207*d**5/40 + 13*d**4/4 + 23*d**3 - 39*d. Let n(m) be the second derivative of b(m). Factor n(h).
-3*(h - 26)*(4*h + 1)**2
Let r(v) be the first derivative of 4*v**5/5 + 63*v**4/5 - 292*v**3/5 + 458*v**2/5 - 312*v/5 + 71. Factor r(f).
4*(f - 1)**3*(5*f + 78)/5
Let q(w) be the third derivative of 0*w + 0*w**4 + 0 + 1/2*w**3 + 1/36*w**6 - 2*w**2 - 1/60*w**5. Let i(g) be the first derivative of q(g). Factor i(u).
2*u*(5*u - 1)
Let 4*r**2 - 3*r**2 + 170491 - 94565 - 808*r + 87290 = 0. What is r?
404
Let k = 175600 + -175596. Factor 0 + 45/7*x**2 + 0*x - 3/7*x**k + 6*x**3.
-3*x**2*(x - 15)*(x + 1)/7
Let j(w) be the second derivative of -w**5/10 + 25*w**4 - 296*w**3/3 - 19*w - 10. Factor j(h).
-2*h*(h - 148)*(h - 2)
Let k be -2 + 11 + (4 + -1 - (2 + 5)). Find h, given that -6/5*h**4 + 2/5*h**k + 2/5*h**3 + 0 + 6/5*h**2 - 4/5*h = 0.
-1, 0, 1, 2
Let z(j) be the third derivative of -j**7/25 + 11*j**6/100 + 13*j**5/50 - 11*j**4/20 - 6*j**3/5 + 27*j**2 + 13*j. Let z(c) = 0. Calculate c.
-1, -3/7, 1, 2
Let j = 1113 - 5564/5. Let d(m) be the second derivative of 0*m**4 - 2/3*m**3 + 20*m + 0 + 0*m**2 + j*m**5. Factor d(o).
4*o*(o - 1)*(o + 1)
Factor 117*x**2 + 56304/7*x + 55488/7 + 3/7*x**3.
3*(x + 1)*(x + 136)**2/7
Suppose -2 = -5*m + 23. Let p(k) = -k**2 - 9*k - 15. Let n be p(-3). Factor -166*q**n + m*q**4 + 3*q**2 + 156*q**3 + 2*q**2.
5*q**2*(q - 1)**2
Let u = -15 + 19. Let l(d) = 8*d**2 + 9*d + 5. Let k(n) = -7*n**2 - 9*n - 4. Suppose 0 = 2*m - 3*m + 5. Let p(s) = m*k(s) + u*l(s). Solve p(v) = 0.
-3, 0
Let m(u) be the first derivative of 8*u**5/5 + 145*u**4/2 - 224*u**3/3 - 37*u**2 + 1123. Suppose m(j) = 0. Calculate j.
-37, -1/4, 0, 1
Let q be (108/(-1782))/((-2)/6). Suppose 0*p = -4*p + 2*p. Factor -q*a**3 + 0 + p*a + 4/11*a**2.
-2*a**2*(a - 2)/11
Let p = 3 - -42. Let a = 48 - p. Factor -7*n**a - 2*n**3 + 13*n**3.
4*n**3
Let u(l) be the second derivative of 0*l**2 + 1/3*l**3 - 1/20*l**5 + 30*l - 1/12*l**4 + 0. Factor u(v).
-v*(v - 1)*(v + 2)
Let y(z) be the first derivative of z**6/480 - 7*z**5/480 + z**4/48 - 11*z**3/3 + 142. Let t(w) be the third derivative of y(w). Solve t(o) = 0 for o.
1/3, 2
Suppose 11*v = 4*s + 8*v + 19, 5*v - 27 = 2*s. Let h be 11*11/55 - s. Determine x, given that 18/5*x + h + 2/5*x**2 = 0.
-8, -1
Let f(h) be the first derivative of h**4/16 + 33*h**3/2 - 813*h**2/8 - 505*h/2 + 11011. Find c, given that f(c) = 0.
-202, -1, 5
Let s(z) be the third derivative of -z**7/525 - 36*z**6/25 - 23756*z**5/75 - 15408*z**4/5 - 183184*z**3/15 - 8426*z**2. Let s(j) = 0. Calculate j.
-214, -2
Let n = 191 - 94. Let o = -89 + n. Factor -9*z + 10*z - 7*z**5 - 8*z**2 + 11*z - 4 - o*z**3 + 12*z**4 + 3*z**5.
-4*(z - 1)**4*(z + 1)
Let z be -3 - (-3 + 2)/(1/6). Solve -3720*m**2 + 3714*m**2 + 2*m + 2*m + 2*m**z = 0.
0, 1, 2
Let m = -7 + 11. Let c be ((-10)/(-8) - 1) + 419/m. Solve 166*t**2 + 23*t**3 + 54 + c*t**3 + 216*t + 166*t**2 - 44*t**2 = 0 for t.
-3/4
Let o(x) be the second derivative of -x**7/63 - 112*x**6/45 - 3577*x**5/30 - 343*x**4 + 86436*x**3 - 1210104*x**2 - 17*x + 69. Let o(l) = 0. What is l?
-42, 7
Let x be (-4)/8 + 2/3. Let n = -24836 + 24838. Let 2/3*m**n + 2/3*m + x*m**3 + 0 = 0. What is m?
-2, 0
Factor -1/7*l**3 - 9603/7*l + 9409/7 + 195/7*l**2.
-(l - 97)**2*(l - 1)/7
Let k(x) be the second de