2992*q - 1113048. Let u(b) = -4*t(b) - 3*z(b). Suppose u(x) = 0. Calculate x.
-746
Let l(q) be the first derivative of -q**4/10 - 18*q**3/5 - 119*q**2/5 + 294*q/5 - 4358. Let l(z) = 0. What is z?
-21, -7, 1
Let w(y) be the first derivative of -y**6/180 + y**5/20 - y**4/6 + 4*y**3/3 + 76. Let u(d) be the third derivative of w(d). Find a, given that u(a) = 0.
1, 2
Let t(n) be the third derivative of n**5/15 + 817*n**4/3 + 1334978*n**3/3 + 225*n**2 + 7. Solve t(q) = 0.
-817
Let c(z) be the third derivative of -169*z**5/60 + 2184*z**4 - 677376*z**3 + 427*z**2 + 6*z. Factor c(f).
-(13*f - 2016)**2
Let -726/5 - 6/5*z**2 - 132/5*z = 0. What is z?
-11
Factor 113*j**4 + 1280*j - 104*j**3 - 201*j**4 + 1664 + 86*j**4 + 24*j**2.
-2*(j - 4)*(j + 2)**2*(j + 52)
Suppose -10*u = -7*u + 3. Let n be 1*((-4)/(-4) + u). Factor -10*h**3 - 5*h**3 + 12*h**4 + 2*h**2 + n*h**2 + h**2.
3*h**2*(h - 1)*(4*h - 1)
Let d(s) be the third derivative of 2*s**5/15 - 139*s**4/6 - 142*s**3 - 20*s**2 - 4. Solve d(t) = 0 for t.
-3/2, 71
Let u(c) be the first derivative of -c**3/7 - 51*c**2/7 - 81*c - 2077. Factor u(q).
-3*(q + 7)*(q + 27)/7
Let r be 42/8 - (((-279)/4)/(-9) + (-42 - -34)). Find h, given that -23/3*h**2 - 3/2 - 3/2*h**4 + r*h + 5*h**3 + 1/6*h**5 = 0.
1, 3
Let n(y) be the third derivative of -y**6/90 - 4*y**5/15 + 9*y**4/2 - 136*y**3/9 - 11*y**2 + 81*y. Let n(z) = 0. What is z?
-17, 1, 4
Let a(o) be the second derivative of -o**6/90 + 29*o**5/120 + 119*o**4/72 + 31*o**3/9 + 3*o**2 - 201*o + 2. Find l, given that a(l) = 0.
-2, -1, -1/2, 18
Let w(s) be the second derivative of 3*s**5/80 + 7*s**4/16 - 25*s**3/8 - 525*s**2/8 - 4*s + 745. Factor w(p).
3*(p - 5)*(p + 5)*(p + 7)/4
Suppose 0 = -2*t - 38 - 42 + 84. Let j(c) be the second derivative of 0 - 15*c - c**t - 1/6*c**4 + 2/3*c**3. Determine k, given that j(k) = 0.
1
Let n = -485830 + 485830. Find h, given that 14/13*h**3 + 0*h + 2/13*h**4 + 12/13*h**2 + n = 0.
-6, -1, 0
Suppose -3 = 11*s - 47. Suppose -175*z**4 - 169*z**4 - 4*z**2 + 345*z**s - z**5 + 4*z**3 = 0. What is z?
-2, 0, 1, 2
Suppose 16 = -2*n - 4*q - 0*q, -4*n - 3*q = 7. Suppose 37*t**2 - 4*t**3 + 72*t**n - 61*t**2 = 0. Calculate t.
0, 12
Suppose 5*i = 195 + 100. Let j = i + -36. Find w such that -10 - 3*w**2 - 10*w**4 - 50*w**3 + j*w**2 + 25*w - 2*w**5 + 27*w**5 = 0.
-1, 2/5, 1
Suppose 615 = 356*q - 233*q. Find o such that 1/2*o**q + 0 + 0*o**2 - 2*o**3 + 0*o**4 + 0*o = 0.
-2, 0, 2
Let c(h) = -h**2 + 2*h - 2. Let j(v) = -12*v**5 + 45*v**4 - 6*v**3 - 112*v**2 + 38*v + 82. Let g(w) = -c(w) + j(w). Solve g(f) = 0.
-1, 7/4, 2
Let z be (((-3)/4)/((-3213)/(-408)))/((-1)/42). Factor -4/9*h**2 - 8*h**3 + 0 + 4/9*h**z + 8*h.
4*h*(h - 18)*(h - 1)*(h + 1)/9
Let n(g) be the second derivative of -17*g + 0 - 1/180*g**5 + 4*g**2 - 5/36*g**4 - 25/18*g**3. Let u(h) be the first derivative of n(h). Factor u(a).
-(a + 5)**2/3
Let n = -86330 - -86334. Factor -n*q + 11/3*q**2 - q**3 + 4/3.
-(q - 2)*(q - 1)*(3*q - 2)/3
Suppose 188 = -31*l + 343. Suppose p - 11 = -4*k, 0 = l*k - 4*k + 4*p - 14. Factor k*s + 0 - 1/2*s**3 + 0*s**2.
-s*(s - 2)*(s + 2)/2
Suppose -854/5 - 23*r + 1/5*r**2 = 0. Calculate r.
-7, 122
Suppose 3*j = -5*l - j + 3454, -3449 = -5*l + j. Find y, given that -27*y**2 - 353 - 349 + 36*y + l = 0.
2/3
Factor 196*z**2 + 202*z**2 + 221*z**4 + 300 - 10*z**3 + 9*z**3 - 223*z**4 - 650*z - 45*z**3.
-2*(z - 5)*(z - 1)**2*(z + 30)
Let n = 532137 + -532133. Factor 0 + 0*r**3 - 48/5*r + 36/5*r**2 - 3/5*r**n.
-3*r*(r - 2)**2*(r + 4)/5
Let p = -60 - -64. Let d be (-51)/(-15) - (p + (-115)/25). Find n such that n**4 + 8*n - 20*n**2 + n**d + 16*n**3 - 8*n**4 + 2*n**4 = 0.
0, 1, 2
Factor -106*f**3 - 59*f**3 - 23*f**2 + 176*f**3 - 2*f**5 + 5*f**2 + f**5 + 8*f.
-f*(f - 2)*(f - 1)**2*(f + 4)
Let d = 78 - 174. Let t be (0 - (0 - 0))/(d/(-24)). Let -24/5*z - 4/5*z**4 + t + 2*z**5 + 88/5*z**2 - 14*z**3 = 0. Calculate z.
-3, 0, 2/5, 1, 2
Let h(q) = -q**2 - 9*q + 27. Let t be h(-11). Factor 3 - 4 + t + 2*u**2 - 3*u**2.
-(u - 2)*(u + 2)
Let q(n) be the first derivative of 4*n**3/9 - 862*n**2/3 + 1712*n - 7090. Factor q(u).
4*(u - 428)*(u - 3)/3
Factor -1/2*d**2 + 153 + 25/2*d.
-(d - 34)*(d + 9)/2
Let w(i) be the first derivative of -2*i**5/35 + 4*i**4/7 + 68*i**3/21 - 8*i**2/7 - 66*i/7 + 160. Solve w(z) = 0.
-3, -1, 1, 11
Factor 49/3*n**2 - 140/3*n**3 + 100/3*n**4 + 0 + 0*n.
n**2*(10*n - 7)**2/3
Suppose 17*h + 20 = 3. Let g be 99/(-561)*h*2. Factor 0 - 10/17*q**3 + 4/17*q + g*q**2.
-2*q*(q - 1)*(5*q + 2)/17
Suppose -7844/5*s**2 - 4*s**3 - 153664/5 - 769888/5*s = 0. What is s?
-196, -1/5
Suppose c - 5 = -2*m, 4*m - 8*m = -2*c + 2. Factor 3*v**3 - 258*v**2 + 3*v**c + 80*v + 218*v**2 - v**3.
5*v*(v - 4)**2
Let m = 1/9744 + 541/3248. Suppose -3 = -2*j + 2*q + 3, -3*j - q + 5 = 0. Solve 1/12*t**3 + 0 + 0*t + 1/12*t**4 - m*t**j = 0 for t.
-2, 0, 1
Let y(t) be the second derivative of t**6/90 + 7*t**5/120 - t**4/12 + 139*t**3/6 + t - 4. Let w(h) be the second derivative of y(h). Solve w(o) = 0 for o.
-2, 1/4
Suppose -3*i + 1 = -k - 8, -5*k - 69 = -3*i. Let q be (-18 - k)*(-1 - 0). Factor 0 + 8/7*o**2 + 4/7*o**q + 4/7*o.
4*o*(o + 1)**2/7
Let x(q) = -7*q**4 + 26*q**3 - 127*q**2 + 236*q - 175. Let a(r) = 3*r**4 - 13*r**3 + 63*r**2 - 119*r + 88. Let m(f) = 5*a(f) + 2*x(f). Factor m(l).
(l - 5)*(l - 3)**2*(l - 2)
Let o(n) be the first derivative of 30 + 1/2*n**2 - 1/3*n**3 + 0*n. Suppose o(z) = 0. Calculate z.
0, 1
Factor -2/15*o**2 - 36 + 274/15*o.
-2*(o - 135)*(o - 2)/15
Let a = -728 - -730. Let s be 86/24 - (-9 - -11)/8. Solve -4/3*q**3 - 3*q**a + s*q + 1 = 0 for q.
-3, -1/4, 1
Let k be 1 + 3 - ((-61845)/504)/(-31). Let j(w) be the second derivative of 0 - 1/12*w**3 + k*w**4 + 9*w + 1/40*w**5 - 1/4*w**2. Factor j(i).
(i - 1)*(i + 1)**2/2
Let b(y) = 5*y - 56. Let n = 477 - 465. Let q be b(n). Factor 2/9*r + 0 - 1/9*r**2 - 2/9*r**3 + 1/9*r**q.
r*(r - 2)*(r - 1)*(r + 1)/9
What is m in 214/7*m + 0 - 2/7*m**2 = 0?
0, 107
Let k be (-111)/819 + -14*24/(-1456). Find j such that -k*j**2 + 52/21*j - 338/21 = 0.
13
Let s(j) = -19*j**2 - 7*j + 39. Let k be s(7). Let o = k - -943. Factor -2*p - 3/2 - 1/2*p**o.
-(p + 1)*(p + 3)/2
Factor 42*d**3 - 2184*d - 1111*d**2 + 143*d**2 + 948*d**2 - 2*d**4 - 3920.
-2*(d - 14)**2*(d + 2)*(d + 5)
Let y be (1 + 12/4)*(-345)/(-345). Determine i, given that -14/5*i**y - 2*i**3 + 16*i + 2/5*i**5 + 142/5*i**2 - 40 = 0.
-2, 1, 5
Suppose -4 = -23*b + 22*b. Let d be (3/(-3) - 2) + b + 4. Factor d*f**2 - 35 + 35 - 5*f**4.
-5*f**2*(f - 1)*(f + 1)
Let p(k) be the second derivative of k**7/2100 + k**6/60 - 4*k**5/75 + 29*k**3/6 + k**2/2 - 101*k. Let t(r) be the second derivative of p(r). Factor t(d).
2*d*(d - 1)*(d + 16)/5
Let w(h) be the first derivative of h**5/24 + 7*h**4/48 - h**3/2 - h**2/2 - 5*h - 69. Let m(f) be the second derivative of w(f). Solve m(b) = 0.
-2, 3/5
Suppose 4*v - 2*t = -9 - 5, 0 = -5*v - 3*t - 12. Let x be (1 - 5) + (-1326)/(-182) + v. Find c, given that -x - 3/7*c**3 + 3/7*c + 2/7*c**2 = 0.
-1, 2/3, 1
Let y = 142403 + -715322/5. Let x = -659 - y. Factor 0 + 4/5*t**5 + 0*t + 0*t**2 + 8/5*t**3 + x*t**4.
4*t**3*(t + 1)*(t + 2)/5
Suppose 2*k - 34*s = -31*s + 57, 5*s - 37 = -4*k. Factor -9*p**3 - k*p + 39/2*p**2 + 6 + 3/2*p**4.
3*(p - 2)**2*(p - 1)**2/2
Factor -594*y - 934*y**2 - 519*y + 8 + 85*y - 1044*y**3 - 1146*y**2.
-4*(y + 1)**2*(261*y - 2)
Let d(b) = -2*b**2 - 27*b - 24. Let x be d(-12). Suppose -17*m + x = -39. Solve -9*l + l**3 + 0*l**2 + 2*l**2 - 7*l**2 + m*l = 0 for l.
-1, 0, 6
Suppose -3*r = -3*l - 3, -49*l + 48*l - 2*r = -11. Let o(t) be the second derivative of 3/10*t**l + 6*t + 3/5*t**2 + 0 + 1/20*t**4. Factor o(j).
3*(j + 1)*(j + 2)/5
Let b(j) be the first derivative of j**3 - 834*j**2 + 231852*j - 4927. Solve b(a) = 0 for a.
278
Let k(i) = -8*i - 336. Let r be k(-42). Let q(n) be the second derivative of -1/78*n**4 + r - 1/13*n**3 - 2/13*n**2 - 4*n. Let q(g) = 0. What is g?
-2, -1
Let q(w) = -3*w**3 - 111*w**2 + 126*w - 24. Let b(y) = 11*y**3 + 447*y**2 - 504*y + 92. Let t(n) = 6*b(n) + 23*q(n). Let t(r) = 0. Calculate r.
0, 1, 42
Let l(a) be the third derivative of a**5/20 + 101*a**4/2 + 20402*a**3 + 151*a**2. Factor l(k).
3*(k + 202)**2
Suppose 2*i - s = 4*s + 16, -2*i + s = -32. Suppose 4*n - i = 6*c - 4*c, 0 = -4*c - 12. Determine y, given t