e the third derivative of 0 - 4*s + 1/30*s**5 + 7*s**2 - s**4 + 11/3*s**3. What is h in o(h) = 0?
1, 11
Let 2/7*z**3 - 2*z - 8/7 - 4/7*z**2 = 0. What is z?
-1, 4
Let c(j) = j**2 - 5*j + 6. Let i be c(1). Factor 6437 + 6*r**2 - 2105 + 108*r - 3*r**i - 336*r.
3*(r - 38)**2
Let a(s) be the second derivative of -4 + 2/15*s**3 + 0*s**2 + 6*s + 1/30*s**4. Factor a(t).
2*t*(t + 2)/5
Let u(j) be the first derivative of -j**3/12 + 85*j**2/2 - 7225*j - 4289. Determine s so that u(s) = 0.
170
Let r(s) be the third derivative of -125*s**8/336 + 55*s**7/42 + 61*s**6/24 - 211*s**5/12 + 65*s**4/2 - 30*s**3 - 439*s**2 - 5*s. Suppose r(n) = 0. Calculate n.
-2, 3/5, 1, 2
Let o(b) be the first derivative of b**4/16 - 11*b**3/6 - 30*b**2 + 380. Suppose o(h) = 0. What is h?
-8, 0, 30
Solve 2375*z - 96721 + 11*z**2 - 720*z - 36*z**2 + 1455*z = 0.
311/5
Let h = 1269 + -1264. Suppose -w + h = -3*n, 5*w - 43 = n - 18. Let -4/3*o**3 + n + 0*o - 2/3*o**2 - 2/3*o**4 = 0. What is o?
-1, 0
Let v be 2/3*((-2597)/343 + 8). Suppose 0 - v*j**2 - 96/7*j = 0. What is j?
-48, 0
Factor 5534964 + 3*h**3 + 2152*h**2 + 8447049*h + 2025004 - 12223*h**2 + 897155.
3*(h - 1679)**2*(h + 1)
Let s(c) be the first derivative of c**3/9 + 1309*c**2/3 + 1713481*c/3 - 9259. Determine d so that s(d) = 0.
-1309
Factor 2220*w - 287 - 1236*w**2 - 73*w**3 + 57*w**3 + 919.
-4*(w - 2)*(w + 79)*(4*w + 1)
Let g(a) be the second derivative of -1/28*a**4 - 165*a - 48/7*a**2 + 33/14*a**3 + 0. Factor g(f).
-3*(f - 32)*(f - 1)/7
Let u = 79 + -73. Suppose 3*t - 6*t = -u. Factor -5*a + 5*a + 6*a**3 + 2*a**2 - 10*a**2 + t*a.
2*a*(a - 1)*(3*a - 1)
Let r(v) be the first derivative of 5*v**6/3 + 7*v**5/2 - 139*v**4/6 - 59*v**3/3 - 6*v**2 + 17*v + 102. Let x(p) be the first derivative of r(p). Factor x(i).
2*(i - 2)*(i + 3)*(5*i + 1)**2
Suppose 194 - 249 = 11*k. Let y(b) = -2*b - 8. Let o be y(k). Let 0 - 36/7*v**o - 12/7*v**3 - 20/7*v + 4/7*v**4 = 0. Calculate v.
-1, 0, 5
Let u(b) be the second derivative of 9*b**7/56 - 687*b**6/40 - 1383*b**5/80 - 77*b**4/16 - 1642*b. Factor u(p).
3*p**2*(p - 77)*(3*p + 1)**2/4
Let i be 902/(-55) - (-150 - -133). Suppose -5*h = 5*z - 10, 0 = -2*z - 2*z. Factor -i*v**h - 243/5 + 54/5*v.
-3*(v - 9)**2/5
Factor 44*l**2 - 3*l**4 - l**4 + 37*l**3 - 9*l**3 - 13*l**2 - 19*l**2 - 76*l - 56.
-4*(l - 7)*(l - 2)*(l + 1)**2
Let v = 11491/235 + -1847/47. Factor 2/5*k**3 + 6/5*k**2 - v - 44/5*k.
2*(k - 4)*(k + 1)*(k + 6)/5
Suppose -1047*z + 5032 = -26*z + 1579*z - 84*z. Determine l, given that -189/2*l + 11907/4 + 3/4*l**z = 0.
63
Let r(x) be the first derivative of 5*x**5/4 + 65*x**4/2 - 195*x**3/2 + 85*x**2 + 4*x - 76. Let f(q) be the first derivative of r(q). Factor f(s).
5*(s - 1)*(s + 17)*(5*s - 2)
Let f = -77938 + 233818/3. What is b in -8/9*b + f - 19/9*b**2 + 4/9*b**3 + 1/3*b**4 = 0?
-3, -1, 2/3, 2
Let o be (-2)/(-6)*(-2)/(-5)*8910/176. Factor -21/2 - o*x - 3/4*x**2.
-3*(x + 2)*(x + 7)/4
Let q be (1530/(-459))/(2/6) + 43/4. Factor 1/4*w**3 + q*w - w**2 + 0.
w*(w - 3)*(w - 1)/4
Let d(a) be the second derivative of -4321*a**4/6 + 1123*a**3/6 - 18*a**2 + 51*a. Let j(k) = 2881*k**2 - 374*k + 12. Let z(l) = 2*d(l) + 7*j(l). Solve z(u) = 0.
2/31
Let i(y) = 151*y**3 + 1963*y**2 + 45*y + 587. Let p be i(-13). Determine s, given that 5/6*s**p + 65/3 + 25/2*s = 0.
-13, -2
Let h = -2136167/17 + 125657. Solve -18/17*a + 0 + h*a**2 = 0.
0, 9
Suppose -4*n - 63*i + 65*i = -2, -3*n + 34 = 5*i. Factor -3/2 - 11/4*q - q**2 + 1/4*q**n.
(q - 6)*(q + 1)**2/4
Let 131*g**2 + 39*g - 20*g**3 - 19*g**2 + 103*g**2 + 16*g = 0. Calculate g.
-1/4, 0, 11
Suppose 139*v - 1088*v**2 + 759*v + 1085*v**2 + 2*v = 0. Calculate v.
0, 300
Solve 0 + 7/9*o**2 + 1/9*o**4 - 8/9*o**3 + 0*o = 0.
0, 1, 7
Solve 123*h**2 + 2496/5*h - 3/5*h**3 + 2508/5 = 0.
-2, 209
Let g be 25 + 3 + -7 + 0. Factor 4*p**2 - 15*p**4 + 17*p**4 + g*p**3 - 15*p**3.
2*p**2*(p + 1)*(p + 2)
Suppose 5*h - 5*d + 41 = 26, 0 = 3*h - 4*d + 12. Let b(j) be the second derivative of 1/69*j**3 - 19*j - 2/23*j**2 + h + 1/46*j**4. Factor b(l).
2*(l + 1)*(3*l - 2)/23
Suppose -z + 3*w = w - 32, -4*z = w - 92. Let h = 21783 - 21779. Suppose -4*g - z + 76/3*g**3 + 4*g**h + 124/3*g**2 = 0. What is g?
-3, -1, 2/3
Let r be (-1*6/10)/(5719 + -5720). Suppose -3/5*h - r*h**2 + 18/5 = 0. Calculate h.
-3, 2
Solve 380 + 276*s - 49*s + 224*s - 5*s**3 + 264*s + 370*s**2 + 40*s = 0 for s.
-1, 76
Let a = -353 - -376. Determine h, given that -a - 192*h**4 - 48*h**2 - 221*h**2 - 388*h**3 - 176*h - 87*h**2 - 9 - 20*h**2 - 36*h**5 = 0.
-2, -1, -2/3
Let v(p) = -12*p**4 - 15*p**3 - 46*p**2 - 38*p + 5. Let g(b) = -5*b**4 - 8*b**3 - 23*b**2 - 18*b + 2. Let k(c) = 5*g(c) - 2*v(c). Factor k(l).
-l*(l + 1)*(l + 2)*(l + 7)
Let f be (-117)/(-180) - (-52)/208. What is t in -f*t**2 + 1/10*t**3 - 2/5*t + 2/5 + 1/5*t**4 = 0?
-2, -1, 1/2, 2
Let v(y) be the first derivative of -5*y**4/48 - 10*y**3 - 235*y**2/8 - 17*y + 84. Let s(n) be the first derivative of v(n). Suppose s(z) = 0. Calculate z.
-47, -1
Suppose 4*f = 5*t + 3485, -f + 595 + 268 = -4*t. Find z such that 2031 - f + 24341 - 2523*z + 87*z**2 - z**3 - 1108 = 0.
29
Suppose -14*l + 11*l + 213 = 0. Let d = l + -55. Determine h so that -3*h**2 - d - 3*h**3 + 4*h**2 + 2*h + 16 = 0.
-2/3, 0, 1
Let k(r) be the third derivative of 17/60*r**5 + 32/3*r**3 + 0 + 0*r - 10/3*r**4 + 73*r**2 - 1/120*r**6. Factor k(o).
-(o - 8)**2*(o - 1)
Let j(y) be the second derivative of y**5/30 - y**4/18 - 785*y**3/9 - 261*y**2 - 5831*y. Let j(b) = 0. What is b?
-27, -1, 29
Let j be 66760/(-25740) + 4/(-26). Let d = 28/9 + j. Factor -d*f - 2/11*f**2 + 0.
-2*f*(f + 2)/11
Let b(z) be the second derivative of -4 + 80/33*z**3 - 100/11*z**2 + 1/110*z**5 + 19/66*z**4 + 8*z. Suppose b(d) = 0. Calculate d.
-10, 1
Let h(d) = 4*d**5 - 22*d**4 - 56*d**3 + 218*d**2 - 236*d + 74. Let a(g) = -g**4 - g**2 - 1. Let v(m) = 6*a(m) - h(m). Factor v(y).
-4*(y - 5)*(y - 1)**3*(y + 4)
Let p(y) be the third derivative of -y**7/735 + 83*y**6/70 - 1488*y**5/5 + 30752*y**4/21 - 139*y**2 - 12*y. Factor p(q).
-2*q*(q - 248)**2*(q - 2)/7
Suppose 430 = 20*g + 30. Factor 69 - 63*t**2 + 7*t**2 - 4*t**3 + 31 + 68*t + g.
-4*(t - 2)*(t + 1)*(t + 15)
Let z = 8200 - 997. Factor 30*x**2 + z*x - 9*x**2 + 97*x**3 - 94*x**3 - 315*x**2.
3*x*(x - 49)**2
Let p = 4547029/2425080 - 1/606270. Determine d so that 33/2*d + 21/4*d**2 + p*d**5 - 3/2*d**4 - 93/8*d**3 + 3 = 0.
-2, -1, -1/5, 2
Let w(z) be the third derivative of -55/48*z**4 - z**2 - 1/24*z**5 + 94 + 0*z**3 + 0*z. Factor w(m).
-5*m*(m + 11)/2
Let o be (-6 - 46/(-8))/(55/(-226960)). Let h = 1032 - o. Solve 10/11*r**2 - h*r - 8/11*r**3 + 0 + 2/11*r**4 = 0 for r.
0, 1, 2
Let m(x) be the third derivative of x**5/600 + 89*x**4/24 + 39605*x**3/12 + 601*x**2. Solve m(g) = 0 for g.
-445
Let j(w) be the first derivative of -131/4*w**5 - 215/4*w**2 - 97 - 30*w + 205/4*w**4 + 445/12*w**3 - 5/2*w**6. Solve j(g) = 0.
-12, -2/3, -1/4, 1
Let g(z) = 7*z**2 - 4138*z - 4079. Let l(k) = 65*k**2 - 37274*k - 36712. Let u(j) = 19*g(j) - 2*l(j). Let u(a) = 0. What is a?
-1, 1359
Solve -67*v + 666/5 + 1/5*v**2 = 0.
2, 333
Let u(t) be the first derivative of -252*t**2 + 108*t + 253*t**3 - 363/4*t**4 - 20. Factor u(b).
-3*(b - 1)*(11*b - 6)**2
Let q be (1 - (-11 - -5 - -3))*122. Let k = q + -6338/13. Suppose -2/13*b**4 - k*b**3 - 4/13*b**2 + 0 + 0*b = 0. Calculate b.
-2, -1, 0
Suppose -27*q - 25*q = 0. Let i(m) be the first derivative of 10 + 2/45*m**3 + 0*m + q*m**2 + 1/30*m**4. Factor i(r).
2*r**2*(r + 1)/15
Suppose 104*d - 138 = 98*d. Factor 10*r - 7*r + 24*r**2 - d*r**2.
r*(r + 3)
Let n be (0/7)/(3 - 4). Suppose -j - 10 = -8*f + 5*f, n = -2*j + 2*f - 4. Determine d so that -2*d - 3/2 - 1/2*d**j = 0.
-3, -1
Suppose j = -3*l - j - 235, l + 85 = -2*j. Let m be (27 + 0)*-10*7/l. Solve 54/5 - 144/5*o**4 - m*o + 408/5*o**3 - 228/5*o**2 = 0 for o.
-1/2, 1/3, 3/2
Suppose 171*w - 8908 = -8566. Find k, given that 16/5 + 12/5*k - 4/5*k**w = 0.
-1, 4
Let q be 62/30 - (1133/(-55) + 20). Let x(w) be the first derivative of -2*w**6 + 14*w**4 + 4*w**5 - 22*w**2 - q*w**3 - 12*w - 2. Let x(b) = 0. Calculate b.
-1, -1/3, 1, 3
Let x(k) be the second derivative of 2*k**7/105 + 4*k**6/25 - 3*k**5/25 - 16*k**4/15 + 8*k**3/5 + 1176*k. Determine f so that x(f) = 0.
-6, -2, 0, 1
Let 81/4 + 45*q + 5*q**3