 - 4)*(x + 8)/5
Determine q, given that -2/5*q**4 - 68/5*q**3 - 62/5 - 188/5*q - 192/5*q**2 = 0.
-31, -1
Suppose -p + 93 - 65 = 0. Suppose -15 = p*q - 99. Factor 6/7*g**2 + 0 + 2/7*g**4 - 6/7*g**q - 2/7*g.
2*g*(g - 1)**3/7
Let w(n) be the first derivative of n**5/25 - n**4/4 - 31*n**3/15 - 43*n**2/10 - 18*n/5 + 254. Let w(x) = 0. Calculate x.
-2, -1, 9
Let m = -277 - -116. Let k = m - -161. Find s, given that 1/3*s**4 + 1/3*s**3 + 0 + k*s**2 + 0*s = 0.
-1, 0
Let b be ((-4)/(-2))/(-12) - 6560/(-192). Factor 153*d**2 + 9*d + 37*d + 12*d**4 + b*d + 103*d**2 + 24*d**4 + 228*d**3.
4*d*(d + 5)*(3*d + 2)**2
Let d(o) be the first derivative of o**4/16 + 5*o**3 + 167*o**2/8 - 57*o + 215. Factor d(h).
(h - 1)*(h + 4)*(h + 57)/4
Let m = 400344 - 400342. Find k, given that 2/23*k**3 + 2/23*k**4 + 78/23*k - 2*k**m - 36/23 = 0.
-6, 1, 3
Let r(q) be the first derivative of 5*q**6/6 - 37*q**5/35 - 33*q**4/28 + 37*q**3/21 - q**2/7 - 1157. Suppose r(w) = 0. What is w?
-1, 0, 2/35, 1
Factor 0 + 1/6*g**3 - 19/3*g**2 - 184/3*g.
g*(g - 46)*(g + 8)/6
Let t = -5/32734 - -131031/621946. Find f such that t*f**3 + 2/19*f**4 + 0*f + 0 - 6/19*f**2 = 0.
-3, 0, 1
Let k(x) be the second derivative of x**4/102 + 10*x**3/17 + 104*x**2/17 + 4384*x. What is g in k(g) = 0?
-26, -4
Suppose 4*j = 2*j. Let y be -3 + -4 - 8596/(-1120) - (-2)/16. Let -6/5*g**2 + 2*g**3 + j - y*g = 0. What is g?
-2/5, 0, 1
Suppose -12 = 3*z, -5*z = -q + 51 + 19. Suppose q = 7*n + 22. Suppose 0 + 9/7*v**5 - 5/7*v**3 + 1/7*v**2 + 0*v + 3/7*v**n = 0. Calculate v.
-1, 0, 1/3
Suppose 326 - 30 = 101*j - 108. Let h(r) be the second derivative of -27*r + 0 + 0*r**j + 4/15*r**6 + 0*r**3 - 1/21*r**7 + 0*r**2 - 2/5*r**5. Factor h(o).
-2*o**3*(o - 2)**2
Let i be 18/(-3) + (0 + 16)/2. Suppose -80*c - 63*c**3 + 62*c**i + 58*c**3 + 23*c**2 = 0. Calculate c.
0, 1, 16
Suppose 52*g + 57 = 55*g. Solve 10*x + x**5 + g - 12*x**4 - 23 + 17*x**5 + 16*x**2 - 28*x**3 = 0.
-1, -2/3, 1/3, 1
Let i = 402607/3 + -134201. Factor -i*p**5 + 0 + 0*p**2 + 0*p + 8*p**4 - 12*p**3.
-4*p**3*(p - 3)**2/3
Let j(w) be the third derivative of 1/30*w**4 - 2*w**2 - 11*w + 0 + 1/60*w**6 - 7/150*w**5 + 0*w**3. Factor j(s).
2*s*(s - 1)*(5*s - 2)/5
Let l = 11 + 13. Let z = l + -20. Factor c**3 - c - 6 + 4 + c**z - 3*c**2 + 4.
(c - 1)**2*(c + 1)*(c + 2)
Let k(d) = 5*d - 32. Let p be k(7). Suppose 1312 = -p*g + 19*g. Let -90*x**2 + 24*x**3 - 2*x - 18*x - 4*x**5 + 12 - 4*x**4 + g*x**2 = 0. What is x?
-3, -1, 1
Let l(p) be the third derivative of 0 - 5*p**2 + 0*p**5 - 1/105*p**7 + 0*p - 1/60*p**6 - 1/672*p**8 + 0*p**4 + 0*p**3. Factor l(y).
-y**3*(y + 2)**2/2
Let o(t) be the second derivative of 1/170*t**5 + 0*t**2 + 165*t + 2/51*t**4 + 0 + 4/51*t**3. Find i such that o(i) = 0.
-2, 0
Let a = 86 + -88. Let p be (-1*a/(-6))/((-2)/4548). Factor 754 + 4*v**2 + 0*v - p + 0*v.
4*(v - 1)*(v + 1)
Suppose -199 = -13*p + 22. Factor 22 + 4*m**2 - 110*m + p + 1 + 82*m.
4*(m - 5)*(m - 2)
Let b(v) be the first derivative of -2*v**5/5 - 3*v**4 - 22*v**3/3 - 6*v**2 + 2305. Suppose b(n) = 0. Calculate n.
-3, -2, -1, 0
Let 2680 + 441*m + 1611*m + 2527 - 200*m**2 + 4*m**3 + 6457 = 0. Calculate m.
-4, 27
Let k(y) be the second derivative of y**7/105 - 3*y**6/25 - y**5/50 + 3*y**4/10 + 316*y. Let k(m) = 0. What is m?
-1, 0, 1, 9
Find c such that -2017/3*c**3 - 806/3 + 267*c**2 + 2017/3*c + 5/3*c**4 = 0.
-1, 2/5, 1, 403
Let y(q) be the third derivative of -3*q**6/200 - 19*q**5/300 - q**4/12 + q**2 - 166. Factor y(u).
-u*(u + 1)*(9*u + 10)/5
Determine z so that 120/11*z**2 - 42/11*z**5 + 54/11*z + 0 - 72/11*z**4 + 36/11*z**3 = 0.
-1, 0, 9/7
Let t(x) be the third derivative of 0*x**3 - 1/12*x**4 + 0 - 1/10*x**6 + 31*x**2 - 2/15*x**5 - 1/168*x**8 - 4/105*x**7 + 0*x. Factor t(l).
-2*l*(l + 1)**4
Let g(h) be the first derivative of 3/2*h + 7/3*h**2 + 120 + 5/3*h**3 + 1/30*h**5 + 1/2*h**4. Find d, given that g(d) = 0.
-9, -1
Let s = -11/134 - -61/335. Let v(n) be the third derivative of 0*n - 1/150*n**5 - 18*n**2 + 0 - 1/3*n**3 - s*n**4. Factor v(x).
-2*(x + 1)*(x + 5)/5
Let m(s) be the second derivative of s**6/45 + 5*s**5 + 5917*s**4/18 + 7300*s**3/3 + 21316*s**2/3 - 3325*s. What is h in m(h) = 0?
-73, -2
Let x be (-10)/12*-2 - (-3)/9. Let u(o) be the first derivative of -24*o**x - 101*o - 38 - o**3 + 13 - 91*o. What is w in u(w) = 0?
-8
Let b(c) be the first derivative of c**4/8 - 7*c**3/6 - 521*c**2/4 - 513*c/2 - 6976. Let b(d) = 0. Calculate d.
-19, -1, 27
Let y(t) be the second derivative of -t**5/4 + 170*t**4 - 34680*t**3 + t - 150. Let y(u) = 0. Calculate u.
0, 204
Let a(b) be the first derivative of 1/8*b**4 + 40 + 0*b + 1/8*b**3 - 1/16*b**2. Factor a(p).
p*(p + 1)*(4*p - 1)/8
Let v = 618344 - 618344. Factor 0*s**2 + 0*s + 4/3*s**3 + v*s**4 - 4/3*s**5 + 0.
-4*s**3*(s - 1)*(s + 1)/3
Let a(m) be the third derivative of 16*m**3 + 1/15*m**5 + m**2 + 7/3*m**4 + 9 + 0*m. Factor a(f).
4*(f + 2)*(f + 12)
Let k(n) be the third derivative of -n**8/784 - n**7/245 + n**5/70 + n**4/56 + 154*n**2. Factor k(j).
-3*j*(j - 1)*(j + 1)**3/7
Let a = 45881/12 + -3823. Let b(h) be the second derivative of 15/2*h**2 + a*h**4 + 30*h + 0 + 10/3*h**3. What is p in b(p) = 0?
-3, -1
Suppose 548*t - 3*t**4 - 4*t**5 - 346*t**2 + 133*t**2 - 11*t**4 - 4*t**5 + 300*t**3 - 517*t**2 - 96 = 0. What is t?
-8, 1/4, 1, 2, 3
Let l(t) be the first derivative of -4*t**5/45 - 8*t**4/3 - 76*t**3/27 + 64*t**2/3 + 368*t/9 + 1066. Find g, given that l(g) = 0.
-23, -2, -1, 2
Let q(h) be the third derivative of h**6/240 - 49*h**5/30 + 385*h**4/48 + 97*h**3/2 - 1454*h**2 - 2. Factor q(d).
(d - 194)*(d - 3)*(d + 1)/2
Let w(v) be the third derivative of -v**6/300 - 146*v**5/75 - 29*v**4/3 - 1836*v**2. Let w(q) = 0. What is q?
-290, -2, 0
Let p(m) be the third derivative of -3/2*m**4 + 2 + 0*m - 18*m**3 + 55*m**2 - 1/20*m**5. Suppose p(l) = 0. Calculate l.
-6
Let c(d) be the second derivative of 0 + 15/7*d**2 + 3/7*d**4 - 1/105*d**6 + 23*d + 0*d**5 - 32/21*d**3. Solve c(k) = 0.
-5, 1, 3
Let u(d) be the third derivative of 32 + 0*d - 3/34*d**4 + d**2 + 7/340*d**6 - 1/510*d**5 - 1/952*d**8 - 1/255*d**7 + 8/51*d**3. What is w in u(w) = 0?
-4, -1, 2/3, 1
Let n = -4/887307 + 591542/887307. Factor 10/3*x - 2/3*x**4 + 2*x**2 + 4/3 - n*x**3.
-2*(x - 2)*(x + 1)**3/3
Let y(b) = -2*b + 31. Let o be y(13). Suppose o*s - 9 = 11. Find p, given that 3*p**4 + s*p**3 + 0*p**3 - 3*p**2 - p**3 - 3*p**5 = 0.
-1, 0, 1
Suppose -242*h + 239*h = -15. Let o(r) be the third derivative of -1/12*r**h + 0*r**3 + 0 - 5/12*r**4 + 32*r**2 + 0*r. Determine t so that o(t) = 0.
-2, 0
Suppose 2*x + 22 = m, 9*x + 48 = 3*m + 6*x. Let l(n) be the first derivative of 0*n**4 + 1/33*n**6 + 4/33*n**3 + 0*n - 1/11*n**2 - 4/55*n**5 - m. Factor l(d).
2*d*(d - 1)**3*(d + 1)/11
Let t(f) be the first derivative of 3/17*f**2 + 112/85*f**5 + 16/51*f**6 + 12 - 40/51*f**3 + 0*f + 1/2*f**4. Solve t(h) = 0.
-3, -1, 0, 1/4
Let k be 1147/(-93) + (-2)/3 - -13. Factor 12/7*l**2 + k + 2/7*l**3 + 10/7*l.
2*l*(l + 1)*(l + 5)/7
Let i(m) = 2*m**2. Let j(b) = -5*b**3 - 785*b**2 + 750*b. Let q(n) = 20*i(n) + j(n). Solve q(d) = 0.
-150, 0, 1
Let r be 363/6 + (-4)/8. Factor 98 - 29*m**4 + r*m**4 - 224*m - 29*m**4 - 2*m**3 - 30*m**3 + 156*m**2.
2*(m - 7)**2*(m - 1)**2
Let -72 + 488/3*x**2 + 44/3*x**5 - 1184/3*x**3 + 380*x - 272/3*x**4 = 0. Calculate x.
-3, -1, 2/11, 1, 9
Determine i so that 58*i - 60 + 20*i + 1650*i**2 - 228 - 1592*i**2 = 0.
-3, 48/29
Let c(m) be the first derivative of m**5/30 + 11*m**4/12 + 17*m**3/18 - 22*m**2/3 - 14*m - 2261. Solve c(a) = 0 for a.
-21, -2, -1, 2
Let p(r) be the third derivative of 5/168*r**7 + 0 + 5/1344*r**8 + 0*r**4 + 6*r - 4*r**2 + 1/16*r**6 + 0*r**3 + 0*r**5. Factor p(c).
5*c**3*(c + 2)*(c + 3)/4
Let d(g) = 8*g**2 - 835*g - 2607. Let w(z) = 4*z**2 - 418*z - 1302. Let v(k) = -2*d(k) + 5*w(k). Factor v(y).
4*(y - 108)*(y + 3)
Let r(a) be the third derivative of a**5/12 - 5*a**4/24 - 10*a**3 + a**2 - 6*a + 3. Solve r(b) = 0 for b.
-3, 4
Factor -416/3 + 212/3*t**2 - 4/3*t**3 - 200/3*t.
-4*(t - 52)*(t - 2)*(t + 1)/3
Let b(n) be the first derivative of -3/2*n**4 - n**3 - 3/5*n**5 + 0*n**2 - 70 + 0*n. Factor b(o).
-3*o**2*(o + 1)**2
Let q = -373 - -673. Suppose 120*t - 20*t = q. Factor 0 + 0*i + 5/2*i**2 + 5/6*i**4 + 10/3*i**t.
5*i**2*(i + 1)*(i + 3)/6
