**2 - 401408 = 0. Calculate u.
1792
Let a = 253 + -245. Factor 30*o + 13 + 18 + a*o**2 - 4 + 1.
2*(o + 2)*(4*o + 7)
Let s(k) = -11*k**2 - 118*k + 2569. Let v(w) = -9*w**2 - 117*w + 2576. Let x(l) = -2*s(l) + 3*v(l). Find u such that x(u) = 0.
-37, 14
Factor -292/7*a + 1/7*a**2 + 21316/7.
(a - 146)**2/7
Let r(c) = -4*c**2 - 226*c + 6. Let n(i) = -i**2 - 24*i + 1. Let f(m) = -6*n(m) + r(m). Suppose f(g) = 0. Calculate g.
0, 41
Let z(b) be the first derivative of -b**5/50 - 3*b**4/10 + b**3/15 + 9*b**2/5 - 96*b + 23. Let g(y) be the first derivative of z(y). Factor g(w).
-2*(w - 1)*(w + 1)*(w + 9)/5
Factor 19*v**2 + 22*v**2 - 60*v**2 + 17*v**2 - v**3.
-v**2*(v + 2)
Let s be 0/(-1 + 0) - -5. Suppose -72 = -s*o + 8. Factor o*j**2 - 4*j**3 - 16*j + 545 - 545.
-4*j*(j - 2)**2
Let u be 396/704385*(142240/6)/4. Let o = 2/1423 + u. Find z, given that 7/3*z + 1/3*z**2 + o = 0.
-5, -2
Let s(d) = d**2 + 2376*d - 9517. Let m be s(4). Let x(k) be the first derivative of -4*k**2 - 35 + 1/3*k**m + 0*k. Factor x(z).
z*(z - 8)
What is m in 2*m**4 - 5770*m + 24*m**3 + 2894*m + 96*m**2 + 96 + 3036*m = 0?
-6, -2
Let b = -6174 - -6176. Factor 14/5*q**3 + 2/5*q**4 + 34/5*q + 34/5*q**b + 12/5.
2*(q + 1)**2*(q + 2)*(q + 3)/5
Let g(x) be the first derivative of -x**4/16 + 23*x**3/12 + x**2/8 - 23*x/4 - 7660. Factor g(s).
-(s - 23)*(s - 1)*(s + 1)/4
Factor 363 - 5*k**3 + 255*k - 1570*k + 645*k**2 + 272 + 40*k.
-5*(k - 127)*(k - 1)**2
Let j(b) = -b**2 + 43*b - 263. Let m be j(9). Let q(k) be the first derivative of 1/6*k**3 - 3/2*k - 1/2*k**2 - m. Determine c, given that q(c) = 0.
-1, 3
Let f(z) be the third derivative of z**6/180 + z**5/12 + z**4/2 - 15*z**3 + 21*z**2 + z. Let j(x) be the first derivative of f(x). Factor j(t).
2*(t + 2)*(t + 3)
Let c = 85 - 57. Let b = -24 + c. Factor -m**2 + 3*m**b - 4*m**5 + 5*m**5 - m**3 - 2*m**4.
m**2*(m - 1)*(m + 1)**2
Let w(v) be the third derivative of -v**7/245 - v**6/60 + 3*v**5/35 + v**4/3 - 8*v**3/7 + 1448*v**2. Solve w(j) = 0.
-3, -2, 2/3, 2
Let n(i) be the first derivative of i**3 - 3/4*i**4 + 0*i**2 - 61 + 0*i. Factor n(v).
-3*v**2*(v - 1)
Let u(s) = -1780*s - 33820. Let q be u(-19). Factor q*z + 0 - 3/4*z**5 + 0*z**4 + 3/2*z**2 + 9/4*z**3.
-3*z**2*(z - 2)*(z + 1)**2/4
Factor -795/2*j + 125 + 1/2*j**5 - 191*j**3 + 21*j**4 + 442*j**2.
(j - 5)*(j - 1)**3*(j + 50)/2
Suppose -3*d + 1 = 4*p - 8, 0 = -d - 1. Let 13*s - s**3 - 80*s**2 + 88*s**2 - 1 + 0*s**p + 2*s**3 + 7 = 0. Calculate s.
-6, -1
Suppose 2*w - 26 = -3*s - s, 38 = 3*w + 5*s. Suppose 1 = 3*p - w, -5*j + 4*p = 1. Factor -12*y**j - 10*y**2 - 3*y**4 - 2 + 2 - 2*y**2.
-3*y**2*(y + 2)**2
Let b be ((-279)/(-31))/(-3 + (-33)/(-9)). Find t, given that 6*t**2 + 7 - 1/2*t**3 + b*t = 0.
-1, 14
Factor 2/7*k**3 - 34/7*k**2 - 32 + 172/7*k.
2*(k - 8)*(k - 7)*(k - 2)/7
Let w(j) = -2*j**2 + 132*j + 2. Let d be w(0). Factor 4/3*l + 2/3*l**4 - 4/3*l**3 - 2/3*l**d + 0.
2*l*(l - 2)*(l - 1)*(l + 1)/3
Let m(c) be the third derivative of c**5/12 - 2405*c**4/24 + 400*c**3 + 4*c**2 - 54. Determine f so that m(f) = 0.
1, 480
Factor -2832*s**3 + 8*s**2 + 208 + 289*s - 71*s + 1411*s**3 + 1419*s**3.
-2*(s - 13)*(s + 1)*(s + 8)
Factor -13*d**2 + 424*d**3 + 20*d**2 - 423*d**3 - 30*d.
d*(d - 3)*(d + 10)
Factor -2/7*i**2 + 958/7 + 956/7*i.
-2*(i - 479)*(i + 1)/7
Find v such that 165 - 29*v**2 + 6*v + 56 + 63*v + 32*v**2 + 7 = 0.
-19, -4
Let k(s) = s**3 + 14*s**2 - 7*s - 96. Let i be k(-14). Suppose -75*a**5 - 12*a**3 - 688*a**2 + 60*a**4 + 688*a**i = 0. What is a?
0, 2/5
Let s = 6157 - 6154. Let i(y) be the first derivative of -2048/21*y**s + 0*y + 0*y**2 - 23 - 192/7*y**4 - 96/35*y**5 - 2/21*y**6. Factor i(v).
-4*v**2*(v + 8)**3/7
Let f(a) be the second derivative of 18522*a**2 - 15*a - 882*a**3 + 21*a**4 - 1/5*a**5 + 3. Find l, given that f(l) = 0.
21
Suppose 4*d = 5 + 11. Determine k so that -10*k**2 + 35*k**d - 19*k**3 - 13*k**3 + 7*k**3 = 0.
-2/7, 0, 1
Suppose -3*g + 139 + 233 = 5*a, -3*a = -g + 124. Let u = 127 - g. Factor -1/2*i**4 + 0*i + 0 + 1/2*i**5 + 1/2*i**2 - 1/2*i**u.
i**2*(i - 1)**2*(i + 1)/2
Let r(t) be the first derivative of 3*t**5/5 - 9*t**4 + 10*t**3 + 18*t**2 - 33*t - 632. Factor r(v).
3*(v - 11)*(v - 1)**2*(v + 1)
Let k be ((-96)/60)/((8/30)/(-4)). Let c(r) be the first derivative of -5/3*r**2 - 8/15*r**5 + 1/9*r**6 + 2/3*r**4 - k + 4/3*r + 4/9*r**3. Factor c(n).
2*(n - 2)*(n - 1)**3*(n + 1)/3
Let m(i) = 12*i**2 - 672*i - 450. Let u(d) = 7*d**2 - 2. Let g(c) = m(c) - 3*u(c). What is h in g(h) = 0?
-74, -2/3
Let z(g) = 7*g**2 + 4*g - 9. Let n(m) = 18*m**2 + 11*m - 20. Let c(q) = q**2 + 2*q - 1. Let t(f) = -2*c(f) + n(f). Let w(u) = -2*t(u) + 5*z(u). Factor w(o).
3*(o - 1)*(o + 3)
Suppose -23*u + 18*u = -15. Suppose -6 = -u*d - p, -d - 12 = p + 4*p. Let 34*j**2 + 2*j**d + 100*j + 1024 + 14*j**2 + 284*j = 0. Calculate j.
-8
Let l = -216 + 213. Let z(j) = 16*j**4 - 72*j**3 + 9*j**2 + 162*j + 82. Let u(g) = 1. Let b(v) = l*z(v) + 3*u(v). Find n, given that b(n) = 0.
-3/4, 3
Suppose -4*p - 13 = -3*q, -1 = 5*q - 5*p - 21. Let k be 4 + (q + -9)*12/26. Factor -4/13*f - k + 2/13*f**2.
2*(f - 4)*(f + 2)/13
Let o = 809 + -792. Suppose -16*w - o*w = 0. Factor -6/5*c + 3/5*c**3 + w - 3/5*c**2.
3*c*(c - 2)*(c + 1)/5
Let r(u) be the first derivative of 20 - 35*u**3 - 84*u + 144*u**2 - 9/4*u**4. What is a in r(a) = 0?
-14, 1/3, 2
Let s(n) be the first derivative of n**6/280 + n**5/14 - n**4/56 - 5*n**3/7 + 3*n**2/2 + 10*n + 5. Let l(m) be the second derivative of s(m). Solve l(i) = 0.
-10, -1, 1
Suppose 0 = -7*t + 3*t - 3*o - 8, -5*o - 18 = 2*t. Let a be 3*t - (-360)/(-135). Find h, given that -a*h**4 - 5/3*h**3 - h**2 + 3*h + 0 = 0.
-3, 0, 1
Let r(j) = -j**2 - j. Suppose -4*o - 4*d = 8, -7 = o + 2*o + 4*d. Let w(y) = -6*y**2 + 6*y - 4. Let i(l) = o*w(l) + 2*r(l). Factor i(b).
4*(b - 1)**2
Let i = -173/194 + 827/873. Let r(q) be the second derivative of -32*q + 0*q**4 - i*q**2 + 0 - 1/27*q**3 + 1/90*q**5 + 1/270*q**6. Let r(h) = 0. Calculate h.
-1, 1
Suppose -10*v - 127 = 243. Let o be 18/(-45) - v/30. Factor 5/6*p**2 - 5/6*p - o*p**4 + 5/6*p**3 + 0.
-5*p*(p - 1)**2*(p + 1)/6
Let b(a) = -6*a**2 - 2404*a - 32. Let f(v) = -2*v**2 - 801*v - 12. Let r(i) = 3*b(i) - 8*f(i). Determine t, given that r(t) = 0.
-402, 0
Let i(w) be the first derivative of -12 - 15/16*w**6 - 23/8*w**3 + 3/2*w + 45/32*w**4 + 57/40*w**5 + 0*w**2. Suppose i(s) = 0. Calculate s.
-1, -2/5, 2/3, 1
Let g(n) be the first derivative of 2*n**3/51 + 63*n**2/17 + 580*n/17 + 584. Find u, given that g(u) = 0.
-58, -5
Let f(w) be the first derivative of -14/5*w**5 + 202/3*w**3 - 75*w**2 - 33/2*w**4 + 95 + 28*w. Find v, given that f(v) = 0.
-7, 2/7, 1
Let y(k) be the first derivative of -k**6/60 + k**5/8 - 7*k**4/24 + k**3/4 - 10*k - 66. Let z(v) be the first derivative of y(v). Factor z(o).
-o*(o - 3)*(o - 1)**2/2
Let b = 23 + -16. Let d be (805/140 - 3/(-24)*2) + 1. Factor 3*q + d + 3*q**2 - b.
3*q*(q + 1)
Let r = -5066/3 - -1690. Let i be (3/2)/((-1)/(-2)). Suppose -4/3*o**i + 4/3*o + r - 4/3*o**2 = 0. What is o?
-1, 1
Let d(c) be the second derivative of 4*c**7/63 + 5*c**6/9 - c**5/2 - 145*c**4/18 + 215*c**3/9 - 28*c**2 + 1804*c. Suppose d(k) = 0. Calculate k.
-21/4, -4, 1
Let w(x) = 18*x + 6. Let t be w(9). Let y = t - 120. Suppose -19*i - y - 3*i**2 - 13*i + 8*i = 0. What is i?
-4
Let d(q) = -16*q**2 - 140*q - 164. Let b(i) = 19*i**2 + 138*i + 167. Let p(j) = 5*b(j) + 6*d(j). Find n such that p(n) = 0.
-149, -1
Let c(t) be the second derivative of -t**5/160 - 537*t**4/32 - 288369*t**3/16 - 154854153*t**2/16 + 34*t. Factor c(a).
-(a + 537)**3/8
Let i be (72/(-20))/((-15)/2050). Let b be (-123)/i + (-266)/(-8) + 0. Determine d, given that -b*d**2 - 45/4*d**3 + 25/2 - 65/4*d = 0.
-5/3, 2/5
Let h(z) be the second derivative of 2*z**5/15 + 11*z**4/4 + 29*z**3/3 + 83*z**2/6 - z + 3913. Find d such that h(d) = 0.
-83/8, -1
Let o(h) be the second derivative of h**6/195 - 71*h**5/130 + 383*h**4/26 + 3959*h**3/39 + 2738*h**2/13 + 729*h. Solve o(g) = 0.
-2, -1, 37
Let n(k) = 3*k**2 - 71*k + 514. Let x(t) = t**2 - 24*t + 171. Let m = 141 + -143. Let p(s) = m*n(s) + 7*x(s). Suppose p(v) = 0. Calculate v.
13
Factor 0 + 0*g + 2209/8*g**2 + 1/8*g**4 + 47/4*g**3.
g**2*(g + 47)**2/8
Suppose 4*q - 210 = 2*g, 11*g + 162 = 3*q + 8*g. Let w be 108/q 