?
0, 1
Let f(t) be the first derivative of 35*t**4/12 - 5*t**3 - 99*t + 95. Let u(y) be the first derivative of f(y). Factor u(n).
5*n*(7*n - 6)
Let b = 23419 - 23383. Let h(q) be the first derivative of -1/8*q**5 - 7/24*q**3 + 9/32*q**4 + 0*q + 1/48*q**6 + b + 1/8*q**2. Find i such that h(i) = 0.
0, 1, 2
Let w(g) be the second derivative of -g**4/12 + 73*g**3/6 - 105*g**2 + 346*g - 1. Factor w(b).
-(b - 70)*(b - 3)
Let r(f) be the first derivative of 2*f**3/3 + 842*f**2 + 3360*f + 5895. Determine l so that r(l) = 0.
-840, -2
Let x(u) be the third derivative of -u**8/462 - 7*u**7/165 - 4*u**6/55 + 79*u**5/330 + u**4/6 - 588*u**2. Solve x(z) = 0.
-11, -2, -1/4, 0, 1
Let v(c) = -3*c + 76. Let g be v(-32). Let k = g - 514/3. Determine b so that 0*b**2 + 0*b**4 - 2/3*b**3 + 0 + k*b**5 + 0*b = 0.
-1, 0, 1
Let g(b) be the first derivative of -b**3/6 + 19*b**2/4 + 60*b + 1123. Let g(d) = 0. What is d?
-5, 24
Let x = 11926/19 - -56055/76. Let m = x - 1364. Determine l so that 75/4*l**3 - 35/4*l**2 - 65/4*l**4 + 0 + 5*l**5 + m*l = 0.
0, 1/4, 1
Let p = -5185/2 - -75193/29. Let j = p - -4/29. Factor -1/2*l**3 + j*l**2 + 0*l + 0.
-l**2*(l - 1)/2
Let i be (-4)/(8/(-6)) + -4 + 3. Suppose 184*f + 189*f + 70 = 383*f. Determine v, given that -1/4*v**i - f*v - 49 = 0.
-14
Let t(d) be the second derivative of 7*d**5/15 - 5*d**4/6 - 23*d**3/9 - 2*d**2 + 819*d. What is g in t(g) = 0?
-1/2, -3/7, 2
Determine m, given that 2/3*m**2 - 116 - 170/3*m = 0.
-2, 87
Let w(i) be the first derivative of -i**4/14 - 24*i**3/7 + 1124. Find k such that w(k) = 0.
-36, 0
Factor 360/7 + 4/7*j**2 + 52*j.
4*(j + 1)*(j + 90)/7
Suppose 35*v + 424 = 32*v + 2*g, -2*g + 144 = -v. Let p be 5/(-35)*2 - 250/v. Factor -1/2*f**4 - p*f**3 + 0 + 0*f**2 + 2*f.
-f*(f - 1)*(f + 2)**2/2
Let v(a) be the third derivative of -a**6/480 + 2043*a**5/80 - 4173849*a**4/32 + 2842391169*a**3/8 + a**2 - 983*a - 3. What is g in v(g) = 0?
2043
Let s(p) be the first derivative of p**4/4 + 2*p**3/3 - 7*p**2/2 + 4*p + 2458. Factor s(r).
(r - 1)**2*(r + 4)
Let n(g) be the second derivative of g**4/3 - 82*g**3/3 + 620*g**2 + 362*g + 4. Factor n(q).
4*(q - 31)*(q - 10)
Let k(x) be the third derivative of 0 + 0*x**3 + x + 3/10*x**5 + 5*x**2 - 1/21*x**7 + 1/20*x**6 + 1/168*x**8 + 0*x**4. Factor k(j).
2*j**2*(j - 3)**2*(j + 1)
Let l = -14397239/549285 - 73/9987. Let s = 132/5 + l. Factor 0 + 0*c + s*c**3 + 2/11*c**2.
2*c**2*(c + 1)/11
Let a(n) be the first derivative of 3/5*n**2 - 60 + 2/15*n**3 + 4/5*n. Factor a(y).
2*(y + 1)*(y + 2)/5
Suppose -27*f + 251 - 116 = 0. Let d(a) = a**2 - 7*a - 3. Let c be d(8). Suppose -2*i**f + 12*i**4 - i**5 - i**c + 4*i**4 = 0. What is i?
0, 4
Let s(q) = 892*q**2 + 314*q - 1511. Let j(u) = -123*u**2 - 45*u + 216. Let a(t) = -29*j(t) - 4*s(t). Factor a(c).
-(c - 44)*(c - 5)
Let q(i) be the first derivative of -1/15*i**6 + 34/25*i**5 + 128/15*i**3 - 8*i**4 + 0*i - 57 + 0*i**2. Factor q(o).
-2*o**2*(o - 8)**2*(o - 1)/5
What is f in 46*f**3 + 79*f**3 - 61 - 134*f**3 - 903*f + 228*f**4 + 2334*f - 1596*f**2 + 7 = 0?
-3, 3/76, 1, 2
Find h, given that -620/9*h**2 - 212/9*h**4 + 0 - 206/9*h - 2/9*h**5 - 208/3*h**3 = 0.
-103, -1, 0
Let x(a) be the third derivative of a**7/1050 - 187*a**6/600 - 377*a**5/300 - 63*a**4/40 + 763*a**2 - 3*a. Suppose x(z) = 0. What is z?
-1, 0, 189
Let r(h) be the third derivative of 11449*h**5/100 - 107*h**4/20 + h**3/10 + 2642*h**2. Solve r(j) = 0 for j.
1/107
Suppose -15 = -5*v - 3*t, 39*v - 6 = 37*v - 4*t. Let -10/13*j**4 - 16/13*j - 8/13 + 16/13*j**v + 18/13*j**2 = 0. What is j?
-1, -2/5, 1, 2
Suppose -24 + 228*j - 30*j**2 - 112*j + 9*j**3 - 72*j - j**4 = 0. Calculate j.
2, 3
Let u be 130/(-13) - (((-8)/10)/1)/((-308)/(-6380)). Factor -u*z**3 + 0 - 242/7*z - 2/7*z**4 - 286/7*z**2.
-2*z*(z + 1)*(z + 11)**2/7
Let g be (-59)/((-79768)/208) - -7*(-2)/(-78). Determine w, given that -g*w + 0 + 4/3*w**5 - w**3 + 5/3*w**2 - 5/3*w**4 = 0.
-1, 0, 1/4, 1
Let c(m) be the third derivative of m**5/60 + 91*m**4/24 - 31*m**3 + 1945*m**2. Solve c(w) = 0 for w.
-93, 2
Find b such that -19/3*b**4 - 5500/3*b + 925/3*b**2 + 160/3*b**3 + 2500/3 - 2/3*b**5 = 0.
-10, 1/2, 5
Let r(c) be the second derivative of c**8/1680 - c**7/630 - c**6/90 + 2*c**4/3 - c**2/2 + 5*c. Let h(s) be the third derivative of r(s). Factor h(a).
4*a*(a - 2)*(a + 1)
Factor 371*g**3 + 8*g**2 - 181*g**3 - 60*g + 26*g**2 - 166*g**3 + 2*g**4.
2*g*(g - 1)*(g + 3)*(g + 10)
Let l = -167 - -167. Suppose -4*f - 5*w - 1 - 1 = l, -f - 4*w = 6. Factor 0 + 8/5*n**f + 2/5*n**3 + 6/5*n.
2*n*(n + 1)*(n + 3)/5
Let x(t) be the third derivative of 13*t**5/120 - 35*t**4/48 + 3*t**3/2 + 2*t**2 + t + 205. Factor x(g).
(g - 2)*(13*g - 9)/2
Let x(k) be the second derivative of k**7/168 + k**6/12 + 7*k**5/80 - 3*k**4/8 - 777*k. Factor x(i).
i**2*(i - 1)*(i + 2)*(i + 9)/4
Determine l so that -172/13 - 14/13*l**3 + 592/13*l**2 + 434/13*l = 0.
-1, 2/7, 43
Suppose 105 - 193 = -4*d. Factor 8*z**3 + 14*z**4 - 10 - 32*z**3 - 2*z**5 + d*z + 4*z**3 - 4*z**2.
-2*(z - 5)*(z - 1)**3*(z + 1)
Let r be 10*(-3)/(-6) - (44295/(-75) - (-144)/8). Determine j, given that r*j + 76/5*j**2 + 2/15*j**3 + 109744/15 = 0.
-38
Let c(j) be the first derivative of -7/18*j**3 + 2/15*j**5 + 0*j + 0*j**2 + 9/8*j**4 + 14. Factor c(s).
s**2*(s + 7)*(4*s - 1)/6
Suppose 49*l - 48*l - 10 = 2*v, 2*v + 2 = -l. Suppose -2*j + 16 = 5*w, 4*j = 13 - 1. Factor 0*k**3 - 1/5*k**l + 1/5*k**w + 0 + 0*k.
-k**2*(k - 1)*(k + 1)/5
Let p(h) be the first derivative of 5/11*h**2 + 31 + 2/33*h**3 - 72/11*h. Factor p(q).
2*(q - 4)*(q + 9)/11
Let b(y) = y + 183. Let m be b(-27). Let c be 4/(-26) + 50/m. Suppose 1/6*z - c*z**2 + 1/3 = 0. What is z?
-1, 2
Suppose -36 = 22*n - 40*n. Factor -17*t**3 + n*t**3 - 51*t + 6*t**3 + 54*t**2 + 6*t**3.
-3*t*(t - 17)*(t - 1)
Let v be (-10)/15 - -2 - 22/(-6). Suppose -7*j**v - 651 + 2*j**4 + 651 + 0*j**4 = 0. What is j?
0, 2/7
Solve -688/3 - 689/3*p - 1/3*p**2 = 0.
-688, -1
Let i be ((-3648)/256)/((-6)/8). Suppose 22 + i*s + 8 + 3 + s**2 - 3 + 4 = 0. What is s?
-17, -2
Let r be (4/(-12))/(3 + (-12 - (-32)/4)). Let -16/3*a**3 - 64/3*a**2 + 0*a - r*a**4 + 0 = 0. What is a?
-8, 0
Let d(b) = 8*b**2 + 107*b - 3248. Let u be d(-28). Factor 4/5*o**3 - 1296/5 + 1152/5*o + u*o**2.
4*(o - 1)*(o + 18)**2/5
Suppose -4*b - 9 = 5*b. Let p be (-2)/(-4) - b/(-2). Suppose p - 16*r**2 - 20*r + 21*r**2 + 0 = 0. Calculate r.
0, 4
Suppose 0 = -18*m - 2224 + 7714. What is s in -1810*s**2 - 353*s**4 - 165*s + 1285*s**3 + 80*s**5 - 167*s**4 + 1005*s - 180 + m*s**2 = 0?
3/4, 1, 2
Let v(q) = -30324*q - 90876. Let n be v(-3). Solve -69/5*d**3 - 180*d + n*d**2 + 3/5*d**4 + 0 = 0.
0, 3, 10
Let z = 11986 + -11981. Let w(r) be the third derivative of -1/6*r**4 - 4/3*r**3 + 1/15*r**z + 0*r - 2*r**2 + 0. Determine d so that w(d) = 0.
-1, 2
Let y(w) = -7*w**3 + w**2 - w - 1. Let j(b) = 20*b**3 + 376*b**2 - 752*b + 380. Let v(l) = -5*j(l) - 15*y(l). Factor v(a).
5*(a - 377)*(a - 1)**2
Suppose -36/5*r**2 + 2/5*r**3 + 82/5*r + 24 = 0. What is r?
-1, 4, 15
Suppose -3*k + 5*k = -14. Let b(w) = -5*w - 31. Let a be b(k). Factor 9*x**a + 5*x + 0*x - 11*x**4 - 2*x**3 + 2*x**2 - 3*x.
-2*x*(x - 1)*(x + 1)**2
Let n(b) = b**3 + 238*b**2 - 3273*b + 134. Let r be n(13). Determine o so that -7/2*o + r - 1/2*o**2 = 0.
-8, 1
Let r(k) = 5*k**3 - 18*k**2 - 26*k + 60. Let v(i) = 5*i**3 - 17*i**2 - 24*i + 60. Let p(g) = 2*r(g) - 3*v(g). Factor p(m).
-5*(m - 3)*(m - 2)*(m + 2)
Let k(p) be the second derivative of 14*p + 0*p**4 + 0*p**3 + 3 + 0*p**2 + 0*p**6 - 1/28*p**7 + 0*p**5. Determine y, given that k(y) = 0.
0
Factor 2/9*a**3 - 8*a**2 + 82/3*a + 320/9.
2*(a - 32)*(a - 5)*(a + 1)/9
Let 2/3*m**2 + 112/3 + 38*m = 0. What is m?
-56, -1
Let t(a) = a**3 - 171*a**2 + 465*a. Let b(w) = w**3 - 168*w**2 + 469*w. Let s(y) = 3*b(y) - 2*t(y). Determine c, given that s(c) = 0.
0, 3, 159
Let 5098564/3 + 4516/3*d + 1/3*d**2 = 0. What is d?
-2258
Let y(p) be the third derivative of -p**7/210 - p**6/60 + 19*p**5/60 - 7*p**4/6 + 2*p**3 - 665*p**2 + p. Factor y(c).
-(c - 2)*(c - 1)**2*(c + 6)
Factor -11/2*g**2 - 5*g + 32/3 - 1/6*g**3.
-(g - 1)*(g + 2)*(g + 32)/6
Let z(v) = v**5 + 4*v**4 - 3*v - 3. Let k(w) be the first derivative of -w**4/4 - w**2/2 - w + 71. Let f(n) = -6*k(n) + 2*z(n). Factor f(c).
2*c**3*(c + 1)*(c + 3)
Let 