/7*m**2 = 0. Calculate m.
2/9
Suppose -i + 1 = 20*z - 19*z, 4*z = 2*i - 8. What is g in 354*g - g**2 + 2*g**i - 328*g = 0?
-26, 0
Let d(g) be the second derivative of -1/12*g**4 - 43 + g + 0*g**2 + 20/3*g**3. Factor d(l).
-l*(l - 40)
Let b(v) = -v + 32. Let z be b(28). Solve -13*w - 2*w - 22*w - z*w**2 + 9*w = 0 for w.
-7, 0
Let q(s) = s**2 - 3*s. Let b be q(-1). Determine i so that 4*i**3 + 148 + b*i**2 - 148 - 12*i**2 = 0.
0, 2
Let z(s) be the first derivative of 128 + 7/5*s**2 - 3*s + 1/15*s**3. Factor z(y).
(y - 1)*(y + 15)/5
Let x(m) be the first derivative of 0*m**2 + 3/5*m**5 + 48*m - 10 + 0*m**4 - 8*m**3. Solve x(a) = 0.
-2, 2
Let l be (2/(-21))/((-56)/235872). What is x in -4/7*x**5 + 972/7*x + l*x**2 - 2916/7 - 968/7*x**3 + 108/7*x**4 = 0?
-1, 1, 9
Let f(i) be the third derivative of 0*i - 45*i**2 + 13/64*i**4 + 2 + 3/8*i**3 - 1/32*i**5. Let f(k) = 0. Calculate k.
-2/5, 3
Let u(a) = -51*a**2 + 812*a + 64. Let o be u(16). Let y(q) be the third derivative of 7/24*q**4 - q**3 - 1/60*q**5 + o - 5*q**2 + 0*q. Factor y(x).
-(x - 6)*(x - 1)
Let d(m) be the first derivative of 79 + 1/6*m**2 + 1/12*m**4 - 2/9*m**3 + 0*m. Factor d(j).
j*(j - 1)**2/3
Suppose 15*n = -2*w - 20, -106*n + 50 = -111*n - 5*w. Suppose -20/11*o + 14/11*o**5 + 74/11*o**4 + n - 74/11*o**2 + 6/11*o**3 = 0. What is o?
-5, -1, -2/7, 0, 1
Let 171*u**3 - 1012 - 320*u**3 + 153*u**3 + 2372*u + 730 - 256*u**2 - 1838 = 0. What is u?
1, 10, 53
Solve -10*o - 1/3*o**2 + 0 = 0 for o.
-30, 0
Let k = 48/9907 - -19190/128791. Suppose -k*g**2 - 56/13 + 32/13*g = 0. What is g?
2, 14
Let q = 139/84 + 2/21. Let f be (82/(-14) - -6)*(-112)/(-128). Suppose f*n**2 - q*n + 49/8 = 0. What is n?
7
Determine f so that -61248/7*f**3 - 100*f**4 + 0 + 100*f**2 - 2/7*f**5 + 8750*f = 0.
-175, -1, 0, 1
Factor 94472288*x - 7*x**4 + 6354*x**3 - 706068*x**2 - 638436*x**2 + x**4 - 10199808 - 4*x**4 + 67368576.
-2*(x - 212)**3*(5*x + 3)
Let o(w) = 3*w**2 - w - 9. Let u be (-12)/8 - 13/2. Let i be -3*10/u*(-28)/(-21). Let d(y) = 2*y**2 - y - 6. Let h(z) = i*o(z) - 7*d(z). Factor h(l).
(l - 1)*(l + 3)
Let h(q) be the third derivative of -5*q**8/224 + 193*q**7/168 - 143*q**6/6 + 1487*q**5/6 - 1225*q**4 + 750*q**3 - 2104*q**2. Determine t, given that h(t) = 0.
1/6, 6, 10
Suppose -5*b = -4*l - 28, 9*b - 18 = 5*b + l. Solve 7*s**3 - 9*s**4 - 2*s**5 + s**3 - 4 - b*s + 8*s**2 - 2*s**5 + 5*s**4 = 0 for s.
-1, 1
Let x(k) be the second derivative of -45/4*k**4 + 49/10*k**6 - 6*k**2 - 70 - k - 14*k**3 + 21/5*k**5. Factor x(a).
3*(a - 1)*(a + 1)*(7*a + 2)**2
Let z(i) = -40*i - 72. Let x be z(-5). Determine k, given that -240*k - 12*k**3 + 5*k**4 - k**4 - x*k**2 - 567 + 439 = 0.
-2, -1, 8
Let c(t) be the first derivative of t**5/40 + 39*t**4/32 + 25*t**3/8 + 37*t**2/16 + 1098. Factor c(h).
h*(h + 1)**2*(h + 37)/8
Let z = -755013 + 558709753/740. Let l = 3/148 + z. Suppose 9/5*q - l*q**2 - 8/5 = 0. What is q?
1, 8
Suppose -2/3*v**3 + 0 - 54*v**2 + 0*v = 0. Calculate v.
-81, 0
Let c(m) = 16*m**2 + 247*m + 322. Let y be c(-14). Let -38/5*r**2 - 28/5*r + y + 2/5*r**4 - 8/5*r**3 = 0. What is r?
-2, -1, 0, 7
Let i(v) be the second derivative of -1/147*v**7 + 4/7*v**4 + 0 + 0*v**2 - 3/7*v**3 + 108*v + 8/105*v**6 - 11/35*v**5. Determine j so that i(j) = 0.
0, 1, 3
Let n(p) be the first derivative of 8*p**2 - 5 + 0*p**4 + 0*p + 3/140*p**5 - 1/280*p**6 - 2/7*p**3. Let w(r) be the second derivative of n(r). Factor w(d).
-3*(d - 2)**2*(d + 1)/7
Let m be ((-11)/55)/(4/(-395)). Let y = m + -391/20. Factor -3/5*v**2 + 2/5*v + 0 + y*v**3.
v*(v - 2)*(v - 1)/5
Let h = 1037772/11 + -94342. Solve -18/11*n**2 + 2/11*n - h*n**4 + 4/11 - 26/11*n**3 = 0.
-1, 2/5
Let g(c) = -8*c**3 - 9*c**2 - 11*c. Let i(w) = 16*w - 35*w - w**3 + 18*w. Let o(y) = y**3 - 7*y**2 + 5. Let n be o(7). Let s(v) = n*i(v) - g(v). Factor s(b).
3*b*(b + 1)*(b + 2)
Suppose 91 = -3*v - 5*k, -13*v - k - 127 = -9*v. Let i be (-100)/v - 3/24. Factor 6*c**2 + 8/3*c**i + 4*c + 2/3.
2*(c + 1)**2*(4*c + 1)/3
Let x(t) be the second derivative of 7*t**4/15 + 104*t**3/15 - 64*t**2/5 - 970*t. Suppose x(k) = 0. What is k?
-8, 4/7
Suppose -38*h - 292 = -42*h. Let g = -69 + h. Factor -28*y**2 - 2*y**4 + 10*y**2 + 4*y + 20*y**3 - 4*y**g.
-2*y*(y - 2)*(y - 1)*(3*y - 1)
Solve 80 - 8/3*d**2 + 958/3*d = 0.
-1/4, 120
Factor 332/9*k - 64/3 - 20/9*k**2.
-4*(k - 16)*(5*k - 3)/9
Let v(r) be the third derivative of 0*r**3 + 0*r**4 + 1/210*r**7 + 56*r**2 + 0*r - 1/30*r**5 + 0 - 1/120*r**6. Let v(c) = 0. Calculate c.
-1, 0, 2
Let o = 525 + -105. Factor o*i - 123 - i**4 + 30*i**3 - 253*i**2 - 111 + 15 + 23.
-(i - 14)**2*(i - 1)**2
Let i be (-3)/(((-27)/(-10))/(-9)). Factor 3*p**3 - 11*p - 4*p - 11*p + i*p**2 + 6*p**2 + 12 - 5*p**3.
-2*(p - 6)*(p - 1)**2
Let z(a) be the first derivative of a**6/33 + 12*a**5/11 - 15584. What is y in z(y) = 0?
-30, 0
Let a be (5 + -1 - 9*1) + 8. Let o be (15*(-7)/(-70))/a. Factor -3/2*h + 2 - o*h**2.
-(h - 1)*(h + 4)/2
Solve 1156/7*g + 0 + 2/7*g**3 - 102/7*g**2 = 0 for g.
0, 17, 34
Find z such that 32/5 + 16/5*z**3 - 8*z - 12/5*z**2 + 4/5*z**4 = 0.
-4, -2, 1
Let z = -15 - -15. Suppose -7*t + 33 + 51 = z. Factor -10*i**2 - 18*i**2 - 8*i**3 - i**4 - 12*i**3 - t*i - 3*i**4.
-4*i*(i + 1)**2*(i + 3)
Let q(s) be the second derivative of s**7/210 + s**6/15 - 26*s**5/25 + 41*s**4/10 - 51*s**3/10 + 2368*s. Determine l, given that q(l) = 0.
-17, 0, 1, 3
Suppose -27*a**2 - 51/2*a - 1/2*a**3 + 53 = 0. Calculate a.
-53, -2, 1
Let c(g) = g - 6. Let h = -51 - -61. Let m be c(h). Suppose -31*p**2 + 1 - m + 2*p + 36*p**2 - 4*p**3 = 0. What is p?
-3/4, 1
Let o be (-15 - -15) + 26 + -23. Factor -8/17*y + 0 - 2/17*y**o + 8/17*y**2.
-2*y*(y - 2)**2/17
Let b(q) be the third derivative of -q**6/720 - 3*q**5/16 + 23*q**4/24 + 151*q**3/6 + 3*q**2 - 19*q. Let g(h) be the first derivative of b(h). Factor g(r).
-(r - 1)*(r + 46)/2
Let f(t) be the first derivative of 158 + 30*t**2 + 1800*t + 1/6*t**3. Let f(d) = 0. Calculate d.
-60
Solve 71*t - 28*t**2 + 71*t**2 + 391*t - 21*t**2 - 31*t**2 + 312 = 0.
-2/3, 52
Let h(x) be the first derivative of -2*x**5/85 + 97*x**4/34 + 198*x**3/17 + 299*x**2/17 + 200*x/17 + 1424. Factor h(w).
-2*(w - 100)*(w + 1)**3/17
Let u(z) be the first derivative of -10*z**6/3 + 152*z**5/5 + 21*z**4 - 152*z**3/3 - 32*z**2 - 2951. Find o, given that u(o) = 0.
-1, -2/5, 0, 1, 8
Let 44402 - 44104*s - 595/2*s**2 - 1/2*s**3 = 0. Calculate s.
-298, 1
Factor 29/3*b**2 - 76*b + 4*b**3 + 260/3 - 1/3*b**4.
-(b - 13)*(b - 2)**2*(b + 5)/3
Let -2300/7*v + 1/7*v**4 - 4232/7 + 13*v**3 + 2022/7*v**2 = 0. Calculate v.
-46, -1, 2
Let l(g) = g**2 - 5*g - 9498. Let c be l(100). Factor -196/9*n + 2/9*n**c + 4802/9.
2*(n - 49)**2/9
Factor -164854 + 0*f**4 + 85*f**2 - 150*f + 60*f**3 + 164854 + 5*f**4.
5*f*(f - 1)*(f + 3)*(f + 10)
Let j(w) be the third derivative of w**6/270 + w**5/135 - w**4/27 + 1215*w**2. Factor j(r).
4*r*(r - 1)*(r + 2)/9
Let s(a) be the second derivative of a**4/48 - 7*a**3/3 + 55*a**2/8 - 4983*a. Factor s(x).
(x - 55)*(x - 1)/4
Determine l so that 216 + 252/5*l + l**3 - 138/5*l**2 + 1/5*l**4 = 0.
-15, -2, 6
Let w be -10 + 180/81 - (-32 - -24). Solve 0*j**4 - 4/3*j**2 + w*j**5 - 14/9*j**3 + 0 + 0*j = 0 for j.
-2, -1, 0, 3
Let g(w) be the third derivative of 5/1176*w**8 + 32/2205*w**7 - 1/63*w**4 + 0 - 57*w**2 - 16/315*w**5 + 0*w**3 + 0*w - 11/1260*w**6. What is v in g(v) = 0?
-2, -1, -2/15, 0, 1
Factor -1 - 995*i - 419*i - 3*i**2 + 58 + 1554 - 194*i.
-3*(i - 1)*(i + 537)
Let u(p) be the first derivative of -1/3*p**3 - 49 - 1/2*p**2 + 0*p + 1/16*p**4 + 1/20*p**5. Factor u(z).
z*(z - 2)*(z + 1)*(z + 2)/4
Let a(q) be the second derivative of q**5/40 + 2*q**4 - 33*q**3/4 + 25*q**2/2 + 818*q. Solve a(b) = 0 for b.
-50, 1
Suppose -5*j + 39 = -3*u + 137, -5*u = -3*j - 174. Suppose 5*w + u = 51. Factor -w*f**3 + 16 - 24*f + f**2 + 0*f**4 + 9*f**3 - 2*f**4 + 3*f**2.
-2*(f - 2)**2*(f - 1)*(f + 2)
Let b(j) be the third derivative of -j**5/120 - 41*j**4/12 - 1681*j**3/3 + 573*j**2. Factor b(o).
-(o + 82)**2/2
Let c = 767 - 765. Factor 3*y - 12*y**2 - 7*y**2 + 16*y**2 - 9*y**2 + c*y**3 + y**3 + 18.
3*(y - 3)*(y - 2)*(y + 1)
Suppose 5*u - 3*h = -1, 0 = 4*u - 0*h + 2*h + 14. Let p be (-8 - -4) + 11 + u. Solve 45 + 5/3*m**3 - 15*m - p*m**2 = 0 for m.
-3, 3
Let w = -15521 + 62089/4. Let m(n