r + 1)/7
Let o(l) be the first derivative of 4*l**3/3 + 1584*l**2 + 627264*l - 5949. Find k, given that o(k) = 0.
-396
Let r(n) be the second derivative of n**5/70 - 19*n**4/42 + 5*n**3/3 - 17*n**2/7 + 723*n - 2. Solve r(j) = 0 for j.
1, 17
Let y be (0/2)/((3 - 4) + -2). Let 9 + 2*k - 15 - k**2 + y*k + 5 = 0. Calculate k.
1
Factor -155*b + 200 - 5/2*b**3 - 85/2*b**2.
-5*(b - 1)*(b + 8)*(b + 10)/2
Let b be (-1 + (-36)/45)*5/(-21). Let g(q) = q**3 - q**2 + 4*q + 3. Let n be g(0). Find f such that b*f + 3/7*f**2 - 3/7*f**n - 3/7 = 0.
-1, 1
Let w = 5/3298 - -3273/16490. Solve 0 - 1/5*q**5 + 2/5*q**3 - w*q**4 + 0*q + 0*q**2 = 0 for q.
-2, 0, 1
Let 178/5*c**4 + 312/5*c + 12/5*c**5 + 892/5*c**2 + 666/5*c**3 - 16 = 0. What is c?
-10, -2, -1, 1/6
Suppose -123*x - 313 = -559. Factor 2/5*s**5 + 0 + 0*s + 2/5*s**3 + 0*s**x + 4/5*s**4.
2*s**3*(s + 1)**2/5
Let j(m) be the second derivative of m**5/10 - 5*m**4/3 + 19*m**3/3 + 30*m**2 + 2*m + 317. Find b such that j(b) = 0.
-1, 5, 6
Let l be (13/((-39)/18) + 1431/243)*-3. Let m(b) be the first derivative of 0*b + l*b**3 + 3/2*b**2 + 23. Factor m(f).
f*(f + 3)
Let i(x) = 560*x**2 + 52700*x - 52260. Let o(r) = 9*r**2 + 850*r - 843. Let b(z) = -2*i(z) + 125*o(z). Suppose b(v) = 0. What is v?
-171, 1
Let a = 6921 + -62134/9. Let p = a - 152/9. Solve -1/3*s + p - 1/3*s**2 + 1/3*s**3 = 0.
-1, 1
Suppose 445 = 100*f + 336 - 691. Suppose -f*d + 22/3 + 2/3*d**2 = 0. Calculate d.
1, 11
Let c = -465862/7 - -66554. Determine n, given that -15/7 + c*n - 1/7*n**2 = 0.
1, 15
Suppose 9*i - 285 = -267. Suppose -6*g**3 - 4*g - 4*g**3 - 9*g**3 + i*g**2 + 20*g**3 - 5*g**2 = 0. What is g?
-1, 0, 4
Suppose 4*x - 695 + 100 = -3*b, 2*b + 425 = 3*x. Let j = -142 + x. Suppose -3/2*o**2 + 1/2*o + 3/2*o**j - 1/2*o**4 + 0 = 0. Calculate o.
0, 1
Suppose -48 - 556/5*c - 396/5*c**2 - 84/5*c**3 - 4/5*c**4 = 0. What is c?
-15, -4, -1
Let c be (-19)/38*24/3. Let d(w) = 30*w**2 - 10*w - 4. Let q(a) = -32*a**2 + 10*a + 4. Let h(b) = c*d(b) - 3*q(b). What is u in h(u) = 0?
-1/4, 2/3
Let k(g) = g**3 - 13*g**2 - 17*g + 35. Let y be k(14). Let q(u) = 16*u + 114. Let z be q(y). Factor 2/5*j**4 + 4/5*j**3 - 2/5 - 4/5*j + 0*j**z.
2*(j - 1)*(j + 1)**3/5
Let j be (-25 - 258/(-12)) + (-410)/(-28). Factor 36/7*o**3 + 72/7*o + 24/7 + j*o**2 + 6/7*o**4.
6*(o + 1)**2*(o + 2)**2/7
Suppose -229*p - 167*p + 613 = -179. Let -24/5*f - 352/5*f**4 - 64/5*f**5 - 548/5*f**3 + 0 - 212/5*f**p = 0. What is f?
-3, -2, -1/4, 0
Let g be (2 - 17/10)/(781/(-142) - -7). Factor g*y**2 - 2/5 + 1/5*y.
(y - 1)*(y + 2)/5
Let i be ((-21)/10)/((-63588)/7570). Find v, given that -i*v**4 - 5/4*v + 0 + 9/4*v**2 - 3/4*v**3 = 0.
-5, 0, 1
Let x be (-9347)/(-719) - 3/((-6)/(-11)). Solve 115/2*i**2 + 3 - 59/2*i + x*i**4 - 77/2*i**3 = 0 for i.
2/15, 1, 3
Let f be -6*(-3 + -3 + 64/12). Suppose j + 9 = 3*u - f, 2*j - 4*u = -16. Factor 60*m + 58*m**j + 26*m**3 + 22*m**2 + 6*m**4 + 9*m**3 - m**4.
5*m*(m + 2)**2*(m + 3)
Factor -2*a**3 - 10*a + 0 + 21/2*a**2.
-a*(a - 4)*(4*a - 5)/2
Let b(f) = -350*f**3 + 2110*f**2 + 330*f. Let s(d) = -87*d**3 + 527*d**2 + 82*d. Let r(q) = 6*b(q) - 25*s(q). Solve r(k) = 0 for k.
-2/15, 0, 7
Let q = 53 + 1. Suppose -4*n - q = -70. Factor 1/8*b**3 + 1/8*b**5 + 0 - 1/4*b**n + 0*b + 0*b**2.
b**3*(b - 1)**2/8
What is n in 6*n**3 + 7*n**5 - 85*n**4 + 13*n**5 - 4*n**3 + 12*n**3 + 6*n**3 = 0?
0, 1/4, 4
Let l(c) be the third derivative of c**6/90 - 4*c**5/15 + 2*c**4 - 28*c**3/3 + 2*c**2 + 19. Let u(s) be the first derivative of l(s). Factor u(m).
4*(m - 6)*(m - 2)
Let j(v) be the third derivative of -v**5/15 + 136*v**4/3 - 36992*v**3/3 - 3035*v**2. Factor j(s).
-4*(s - 136)**2
Let h = -1480/131 + 4964/393. Factor -x - 1/3*x**5 - 2/3 + 0*x**4 + h*x**3 + 2/3*x**2.
-(x - 2)*(x - 1)*(x + 1)**3/3
Let f be 18/(-8) + 5 + 12/(-64)*4. Factor 0 + 2/11*a**f + 10/11*a**3 + 0*a.
2*a**2*(5*a + 1)/11
Let w(r) be the third derivative of 1/168*r**7 + 1/24*r**5 + 0*r**3 + 0*r**4 + 56*r**2 + 0*r + 5/672*r**8 + 0 - 5/96*r**6. Find o, given that w(o) = 0.
-2, 0, 1/2, 1
Let d = -877348/391 + 38150/17. Factor 20/23 - d*r - 2/23*r**2.
-2*(r - 2)*(r + 5)/23
Let m = 11775 - 47073/4. Factor -21/4 - 3/4*t**3 - m*t**2 - 45/4*t.
-3*(t + 1)**2*(t + 7)/4
Let h(d) be the third derivative of 90*d**2 + 0*d**3 - 7/60*d**4 - 1/25*d**5 + 1/300*d**6 + 0*d + 0. Determine s, given that h(s) = 0.
-1, 0, 7
Factor 11138 - 2*t**3 - 12600*t - 34*t**2 + 13178*t - 1312.
-2*(t - 17)*(t + 17)**2
Suppose 26*y - 252 = -58*y. Let p(u) be the second derivative of 0*u**y + 12*u - 1/10*u**5 - 1/3*u**4 + 0 + 0*u**2 + 1/15*u**6. Factor p(i).
2*i**2*(i - 2)*(i + 1)
Let o(d) = -2*d**4 + d**3 - 7*d**2 - d. Let q(f) = -7*f**4 + 14*f**3 + 184*f**2 - 422*f - 3675. Let l(y) = -2*o(y) + q(y). Let l(i) = 0. What is i?
-5, 7
Let k(h) be the first derivative of -18*h**5/5 + 223*h**4/2 + 118*h**3/3 - 223*h**2 - 100*h - 1003. Suppose k(y) = 0. Calculate y.
-1, -2/9, 1, 25
Let n(g) be the third derivative of -g**10/136080 - g**9/17010 - g**8/7560 + 23*g**4/12 - g**2. Let l(u) be the second derivative of n(u). Factor l(o).
-2*o**3*(o + 2)**2/9
Let t be (13/(-10))/((-5512)/530). Factor -1/8*v**2 + 3/2 + t*v**3 - v.
(v - 2)**2*(v + 3)/8
Let m(f) be the first derivative of f**9/2268 - f**8/840 + f**7/1260 + 22*f**3/3 - 153. Let k(g) be the third derivative of m(g). Factor k(o).
2*o**3*(o - 1)*(2*o - 1)/3
Let p be 1716/624*21/77. Factor 1/4*f**2 - p - 1/2*f.
(f - 3)*(f + 1)/4
Suppose 0 = 4*k + 24*y - 28*y + 44, -45 = 4*k - 5*y. Let n be 30/k*(-26)/36 + -2. Factor 1/2*i**4 + 1/3*i**3 - 1/3*i**2 - n + 1/6*i**5 - 1/2*i.
(i - 1)*(i + 1)**4/6
Let c(w) be the first derivative of 13*w**5 - 1045*w**4/4 + 1055*w**3/3 - 75*w**2/2 + 4485. Let c(g) = 0. What is g?
0, 1/13, 1, 15
Let d = 2185 + -3182. Let o = d + 1997/2. Factor 0 + 3/2*p**3 - 3/2*p**2 - 3/2*p + o*p**4.
3*p*(p - 1)*(p + 1)**2/2
Let p(z) be the first derivative of -2*z**5/15 + 637*z**4/6 + 2554*z**3/9 + 213*z**2 - 8259. Let p(w) = 0. What is w?
-1, 0, 639
Let s(z) be the third derivative of z**5/420 + 10*z**4/21 + 79*z**3/42 + 920*z**2. What is y in s(y) = 0?
-79, -1
Let a = -153027 - -153030. Factor -8/13*g**a - 6/13*g**2 - 2/13*g**4 + 0 + 0*g.
-2*g**2*(g + 1)*(g + 3)/13
Let v(o) be the first derivative of -3*o**5/20 - o**4/4 + 5*o**3 - 12*o**2 - 49*o + 45. Let p(x) be the first derivative of v(x). Factor p(d).
-3*(d - 2)*(d - 1)*(d + 4)
Let s(m) be the third derivative of -1/4*m**4 + 1/9*m**5 - 1/180*m**6 - m + 0*m**3 - 83*m**2 + 0. Find l such that s(l) = 0.
0, 1, 9
Suppose -111 = -3*b + 789. Let -27*n**2 + 30*n**3 + 1260*n + b - 18*n**3 + 270*n**2 = 0. Calculate n.
-10, -1/4
Let i(x) be the third derivative of 25*x**8/224 + 13*x**7/14 - 27*x**6/10 - 62*x**5/5 + 29*x**4 - 24*x**3 - 77*x**2 + 2. What is v in i(v) = 0?
-6, -2, 2/5, 2
Let o(l) be the third derivative of -l**10/453600 - l**9/90720 - l**8/60480 + 97*l**5/60 + 219*l**2. Let z(i) be the third derivative of o(i). Solve z(j) = 0.
-1, 0
Let t = 49 - 47. Let g(y) = y**2 - y. Let f be g(t). Determine v so that -12*v**3 - 2*v**2 + 6*v**f - 9 + 5*v**2 + 3*v**4 + 12*v - 3*v**2 = 0.
-1, 1, 3
Suppose -1418 + 5018 = 30*w. Let o be 1/(365/w + -3). Solve 28*i**2 - 6 - 88/9*i**3 - o*i + 10/9*i**4 = 0 for i.
-1/5, 3
Let f be (2/4)/(13121925/(-109350) - -120). Suppose 29/2*h**3 + f + 1215/2*h + 1/2*h**4 + 297/2*h**2 = 0. Calculate h.
-9, -2
Factor -50/3 - 5*a - 1/3*a**2.
-(a + 5)*(a + 10)/3
Let j(m) = -10*m**3 + 634*m**2 - 26222*m + 49958. Let b(y) = 31*y**3 - 1901*y**2 + 78665*y - 149879. Let d(s) = -6*b(s) - 19*j(s). Factor d(i).
4*(i - 79)**2*(i - 2)
Factor 1/4*u**4 + 355/4*u**2 - 89 - 357/4*u**3 + 357/4*u.
(u - 356)*(u - 1)**2*(u + 1)/4
Find g such that 2/5*g**5 - 2/5*g**2 + 2/5*g**4 + 0 - 2/5*g**3 + 0*g = 0.
-1, 0, 1
Let s = 6633/8 + -43077/40. Let w = 249 + s. Solve -w*a + 6/5*a**2 + 2/5 - 2/5*a**3 = 0.
1
Let u(m) be the first derivative of -2/5*m**3 + 3/20*m**4 + 227 + 0*m + 0*m**2 + 3/25*m**5. Factor u(k).
3*k**2*(k - 1)*(k + 2)/5
Determine u so that -544/7 - 276/7*u - 2/7*u**2 = 0.
-136, -2
Let o(c) be the second derivative of -1/36*c**4 + 5/6*c**2 - 2/9*c**3 - 2 - 66*c. Factor o(z).
-(z - 1)*(z + 5)/3
Let q(j) = j**3 + 20*j**2 + 18*j - 41. Let u be q(-19). Let h = u - -74/3. Factor 0*k**2 + 4/3*k + 0*k**4 + 0 + 4/3*k**5 - h*k**3.
4*k*(k