9*j = 0. What is j?
2, 13
Let s be 0 - (-1)/(-2) - 426/(-12). Suppose 0 = 34*j - s*j + 6. Find i such that -i**3 + 12*i**4 + 71*i**5 - 74*i**5 - 11*i**3 - j + 15*i - 6*i**2 = 0.
-1, 1, 2
Let v be (-315)/(-6)*(-6)/(-7). Let z be (1 + (-43)/v)/((-39)/(-351)). Factor z*l + 0 - 4/5*l**2.
-2*l*(2*l - 1)/5
Let d(f) be the first derivative of -121*f**6/9 - 176*f**5/3 - 52*f**4 + 320*f**3/9 - 16*f**2/3 - 1183. Determine r so that d(r) = 0.
-2, 0, 2/11
Suppose 7*k = 1242 - 892. Factor -k*h + 176*h + 380 - h**2 - 2*h**2 + 0*h**2 - 1703.
-3*(h - 21)**2
Find h such that 1505*h + 464*h**2 + 198*h**2 + 5*h**3 + 12*h**2 - 1105 - 1510*h + 431*h**2 = 0.
-221, -1, 1
Let h be ((-50)/30)/((-5)/1785). Factor 4*q**4 + 125*q - 104*q**3 + 77*q**2 - 320 - 356 - 21*q + h*q**2.
4*(q - 13)**2*(q - 1)*(q + 1)
Let h(m) = 65*m**3 + 165*m**2 + 95*m. Let a = -150 + 147. Let d(w) = w**4 + 32*w**3 + 82*w**2 + 48*w. Let i(s) = a*h(s) + 5*d(s). Suppose i(g) = 0. Calculate g.
-1, 0, 9
Suppose -2*h - 4*u - 6 = 0, -h - 3*u = 3*h - 13. Let a = h - 5. Factor -5*n**4 - 3*n**3 + 12*n**4 + 5*n + 2 - 9*n**2 - a*n**3.
(n - 1)**2*(n + 1)*(7*n + 2)
Suppose 6*b**3 - 2110*b**2 - b**3 + 20052*b + 192482*b + 25280*b - 15209*b = 0. Calculate b.
0, 211
Let l(h) = 2*h**4 + 492*h**3 - 1491*h**2 + 1495*h - 504. Let b(j) = -j**2 + j - 2. Let g(x) = 3*b(x) - l(x). Solve g(i) = 0.
-249, 1
Let b(k) = 7*k + 1608. Let l be b(0). Let d = 4826/3 - l. What is z in -z**3 + d + z - 2/3*z**2 = 0?
-1, -2/3, 1
Find t, given that 59/2 - 1/8*t**2 + 29/2*t = 0.
-2, 118
Let b(n) be the third derivative of n**8/168 - n**7/5 + 49*n**6/60 + 31*n**5/10 - 25*n**4/6 - 24*n**3 + 114*n**2 + 2*n. Determine v, given that b(v) = 0.
-1, 1, 4, 18
Let p = 22751/18955 - 1/3791. Let h(l) be the first derivative of -14 + 9/10*l**2 - 3/20*l**4 + p*l + 0*l**3. Find k, given that h(k) = 0.
-1, 2
Let t(u) = -u**4 + 11*u**3 + u - 2. Let n(g) = g**4 - 9*g**3 + 3*g**2 - 43*g + 30. Let v(h) = -3*n(h) - 6*t(h). Let v(r) = 0. Calculate r.
-2, 1, 13
Let h(k) be the third derivative of -k**5/540 + 25*k**4/36 - 148*k**3/27 + 661*k**2. Determine g so that h(g) = 0.
2, 148
Let w = -4649 + 4653. What is g in -1/4*g**5 - 11*g**2 - 5/2*g**w - 33/4*g**3 + 0 - 5*g = 0?
-5, -2, -1, 0
Suppose 1 = -f + 4. Factor 9*p**2 + 26*p + 46 - 43 - 17*p + f*p**3.
3*(p + 1)**3
Suppose 15*s + 1827 = -3033. Let n = s + 327. Factor 2/5 + 4/5*q**2 - 1/5*q**n - q.
-(q - 2)*(q - 1)**2/5
Find b such that 9/7*b**3 + 480/7*b**2 + 153/7*b - 318/7 = 0.
-53, -1, 2/3
Let y(l) be the second derivative of 0*l**3 + 3*l**2 - 1/18*l**4 - 37*l + 0. Factor y(i).
-2*(i - 3)*(i + 3)/3
Let m = 19 - 19. Suppose 0 = -5*t - 7*i + 2*i + 160, -5*i + 20 = m. Suppose -9*z**2 + 18*z**4 - t*z**3 - 4*z - 4*z**5 + 22*z**2 + 5*z**2 = 0. What is z?
0, 1/2, 1, 2
Let k(s) be the second derivative of -s**5/80 + 29*s**4/48 + 35*s**3/3 + 74*s**2 + 362*s. Factor k(q).
-(q - 37)*(q + 4)**2/4
Let x = 1391560 - 12524030/9. Factor 14*d**2 + 0 + 52/9*d - x*d**3.
-2*d*(d - 13)*(5*d + 2)/9
Let b(q) be the first derivative of 0*q**2 + 5 - 1/7*q**4 - 2/35*q**5 + 0*q**3 + 0*q + 1/21*q**6. Suppose b(n) = 0. Calculate n.
-1, 0, 2
Let r(k) be the third derivative of 9/32*k**4 - 2 + 1/160*k**6 + 3/40*k**5 + 0*k**3 + 22*k**2 + 0*k. Determine f so that r(f) = 0.
-3, 0
Determine n, given that 267*n + 183*n - 80*n**2 - 509 + 457*n + 4*n**3 - 443*n - 131 = 0.
2, 8, 10
Let h = -510/239 + 16476/1673. Factor 162/7*j - h + 2/7*j**5 - 180/7*j**2 + 92/7*j**3 - 22/7*j**4.
2*(j - 3)**3*(j - 1)**2/7
Let r(s) be the second derivative of -33/5*s**3 + 81/5*s**2 - 143*s - 1/50*s**5 + 0 + 19/30*s**4. Factor r(x).
-2*(x - 9)**2*(x - 1)/5
Let r(u) be the second derivative of u**5/25 + 43*u**4/15 + 112*u**3/3 + 2032*u. Factor r(v).
4*v*(v + 8)*(v + 35)/5
Suppose 164*n - 62*n - 399 = -31*n. Factor 2/5*w**n - 18/5*w**2 + 16/5*w + 0.
2*w*(w - 8)*(w - 1)/5
Let f(c) = 580*c + 42342. Let k be f(-73). Factor -6/13*t**k + 8/13 + 0*t - 2/13*t**3.
-2*(t - 1)*(t + 2)**2/13
Determine r, given that -115*r**4 - 2*r**5 - 48624*r**3 + 93*r**4 + 3072*r + 48704*r**3 + 1408*r**2 = 0.
-8, -3, 0, 8
Let d(v) be the second derivative of 2*v**6/15 + v**5 + 2*v**4/3 - 40*v**3/3 - 48*v**2 + 2976*v. Factor d(k).
4*(k - 2)*(k + 2)**2*(k + 3)
Let o(c) be the second derivative of -1/20*c**4 + 1/30*c**3 + 69*c + 0*c**2 + 3/100*c**5 + 0 - 1/150*c**6. Suppose o(p) = 0. What is p?
0, 1
Suppose 2*s + h = 7, 9 - 5 = -4*s + 4*h. Let m be 3/(s - -4)*0 - -57. Factor -m*k - 18*k - 40 + 15*k - 5*k**3 - 30*k**2.
-5*(k + 2)**3
Let n be (169/2704)/((-3)/(-20)). Let f(b) be the first derivative of -5/18*b**3 - 25 + 5/6*b - 5/24*b**4 + n*b**2. Find v, given that f(v) = 0.
-1, 1
Let o(c) = 9*c**2 - 304*c - 3938. Let b be o(-10). Factor 4/13*w**b + 2/13*w - 4/13 - 2/13*w**3.
-2*(w - 2)*(w - 1)*(w + 1)/13
Let i = -93628 - -93630. Determine c, given that 62/23*c**i - 34/23*c**3 + 6/23*c**4 + 12/23 - 2*c = 0.
2/3, 1, 3
Let q(s) = -46*s**2 - 355*s + 26. Let n(j) = 7*j**2 + 59*j - 4. Let m(l) = 26*n(l) + 4*q(l). Factor m(w).
-2*w*(w - 57)
Suppose -5*a - 440 = -485. Let c be a/9*3*4/10. Factor -c*y**3 + 8/5 + 2/5*y**4 - 2*y**2 + 6/5*y.
2*(y - 4)*(y - 1)*(y + 1)**2/5
Let h(l) be the second derivative of 3*l - 2 + 24/7*l**2 - 1/28*l**4 + 0*l**3. Solve h(b) = 0.
-4, 4
Suppose -2763*x + 2671*x = -276. What is f in 0*f + 2/3*f**x + 1/3*f**2 + 0 = 0?
-1/2, 0
Let q(v) be the first derivative of v**5 + 0*v + 5/6*v**6 - 20/3*v**3 - 5*v**4 + 0*v**2 - 334. Determine r so that q(r) = 0.
-2, -1, 0, 2
Find j such that -2*j - j**4 + 0*j - 128 - 12*j + 53*j**2 + 43*j**2 + 18*j + 29*j**3 = 0.
-2, 1, 32
Factor 0*v**3 - 4/9*v**2 + 2/9*v**4 + 2/9 + 0*v.
2*(v - 1)**2*(v + 1)**2/9
Suppose 0 = -w - 4*d - 34, 5*w + 10*d + 140 = 5*d. Let u be 0 + 1 + 27 + w. Factor 0 + 0*h - 1/6*h**5 - 1/3*h**u - 2/3*h**4 - 5/6*h**3.
-h**2*(h + 1)**2*(h + 2)/6
Let d(z) = 2*z**2 + 23*z - 35. Let h be (-39)/(-6)*(-3 + 1). Let p be d(h). Factor 10/9*q**p + 0 + 8/9*q**2 + 0*q - 50/9*q**5 + 32/9*q**3.
-2*q**2*(q - 1)*(5*q + 2)**2/9
Let -3*x + 3 - 9/4*x**2 + 3/2*x**3 + 3/4*x**4 = 0. Calculate x.
-2, 1
Let s = 142505 - 285009/2. Find j such that 3*j + s*j**2 - 7/2 = 0.
-7, 1
Suppose -9*k + 33 - 6 = 0. Suppose -7*q = -2*q + 3*b - 43, k*q - 29 = -b. Factor -q*j**2 + 24*j - 40*j + 7*j**2.
-4*j*(j + 4)
Let w be (2/3)/(7/(-105))*-2. Suppose 0 = -4*j + h - 5, -j + 4*h - w = -4*j. Find s, given that 0*s + 2/19*s**3 - 4/19*s**4 + 0 + j*s**2 = 0.
0, 1/2
Let g(z) be the second derivative of 0*z**2 + 1/18*z**4 + 0*z**3 - 6 + 4/5*z**6 + 2/5*z**5 + 2*z. Factor g(f).
2*f**2*(6*f + 1)**2/3
Let c(k) be the first derivative of -k**4/30 - 32*k**3/15 - 256*k**2/5 + 67*k - 76. Let x(g) be the first derivative of c(g). Factor x(p).
-2*(p + 16)**2/5
Let n(h) be the third derivative of -h**4/24 + h**3/3 + 7*h**2. Let q be n(-2). Solve -l**5 + 2*l**q - l**2 + l - 2*l**2 + l**2 = 0 for l.
-1, 0, 1
Let j be 10/2 + 1 + -4. Solve d**2 + 3*d**j - 308*d**3 + 306*d**3 = 0.
0, 2
Factor -3201*n**2 + 12795/8*n + 6*n**3 - 1599/8.
3*(n - 533)*(4*n - 1)**2/8
Suppose 4*b - 39*s + 5206 = -41*s, -4*s = 4*b + 5216. Let d = -6493/5 - b. Factor 0 + 0*n - d*n**2.
-2*n**2/5
Let s(h) be the third derivative of h**6/30 + 7*h**5/3 + 67*h**4/6 + 22*h**3 - 3421*h**2. Solve s(r) = 0.
-33, -1
Let u(k) be the first derivative of 54*k**6/7 - 2448*k**5/35 - 1175*k**4/7 + 4120*k**3/21 + 1208*k**2/7 + 288*k/7 - 1210. Suppose u(f) = 0. What is f?
-2, -2/9, 1, 9
Let i be (1/5)/(((-52)/(-140))/((-3822)/(-735))). Factor 8/5 + 4/5*u**3 + 3/5*u**2 - 1/5*u**4 - i*u.
-(u - 4)*(u - 1)**2*(u + 2)/5
Let f(n) be the third derivative of -n**8/1008 - 29*n**7/630 - 13*n**6/20 + 27*n**5/10 + 1539*n**4/8 + 5103*n**3/2 - 578*n**2. Factor f(l).
-(l - 7)*(l + 9)**4/3
Let u be (-1215)/81 - 99/(-6). Let 0 - 69/8*p**2 + 15/2*p**3 + 9/4*p + u*p**4 = 0. Calculate p.
-6, 0, 1/2
Let i(x) = 2*x**4 + x**3 + x**2 - 2. Let s(n) = 5*n**5 - 145*n**4 + 260*n**3 + 850*n**2 + 490*n + 50. Let z(v) = 25*i(v) + s(v). Find r such that z(r) = 0.
-1, 0, 7, 14
Let x = -633562/11 - -57598. Solve 0*n**2 + 0 + x*n**5 + 1/11*n**4 + 0*n**3 + 0*n = 0 for n.
-1/16, 0
Let f = -59259 + 888887/15. Determine s, given that 92/15*s - 1058/15 - f*s**2 = 0.
23
Let k(x) = x**3 - 66*x**2 + 252*x - 16. Let w be k(4). Let v(b) be the second derivative of w*b