(t) = 21*m(t) - 3*q(t). Factor r(a).
-3*(a + 4)*(a + 51)
Let r(m) be the third derivative of m**5/30 - m**4/4 - 11*m**3/6 + 79*m**2. Let a(f) = 5*f**2 - 12*f - 23. Let u(n) = -6*a(n) + 14*r(n). Factor u(g).
-2*(g + 2)*(g + 4)
Let g(l) = 3*l**3 + l + 1. Suppose 2*n + o = 5*o - 16, -n + 3*o = 9. Let v(d) = -17*d**3 + 12*d**2 + 15*d + 4. Let w(s) = n*g(s) - v(s). Factor w(r).
-(r + 1)**2*(r + 10)
Let l(w) = w**3 + 15*w**2 + 25*w - 10. Let a be l(-13). Solve -5*n**a - 1058*n + 1058*n = 0.
0
Let v(w) = -w**3 + 2*w**2 + 30*w + 29. Let h be v(-1). Let a(l) be the first derivative of 0*l + 1 + 28/5*l**5 + 0*l**h + 16/21*l**3 - 4*l**4. Factor a(i).
4*i**2*(7*i - 2)**2/7
Let z(o) be the first derivative of -191 + 0*o - 7/18*o**4 + 2/9*o**2 + 10/27*o**3. Factor z(d).
-2*d*(d - 1)*(7*d + 2)/9
Let a = 32 - 29. Suppose -a*s = -v - s, v - 5*s = -3. Factor -8 - 4*l**2 - 6*l**v - 6*l - 10*l**2 + 72*l**3 - 38*l.
4*(l - 1)*(2*l + 1)*(9*l + 2)
Suppose 0*o + 8*o = 96. Suppose -7*b - o = -10*b. Find n such that -32*n**5 - 2*n**2 - 2*n**3 + n**b + n**4 + 34*n**5 = 0.
-1, 0, 1
Let s(b) be the third derivative of 0 - 7/120*b**5 + 3/8*b**4 + 1/672*b**8 - 7/240*b**6 - b**2 + 0*b + 1/140*b**7 - 2/3*b**3. Factor s(g).
(g - 1)**3*(g + 2)*(g + 4)/2
Let g(n) be the first derivative of -5*n**4/4 - 35*n**3/3 + 10*n**2 + 140*n - 9382. Let g(k) = 0. Calculate k.
-7, -2, 2
Let v(j) = -41*j**4 + 22*j**3 + 55*j**2 - 72*j - 12. Let c(h) = -48*h**4 + 23*h**3 + 55*h**2 - 72*h - 14. Let g(t) = 6*c(t) - 7*v(t). Factor g(r).
-r*(r - 1)*(r + 8)*(r + 9)
Let c(b) be the second derivative of b**7/21 - 13*b**6/15 + 24*b**5/5 - 34*b**4/3 + 32*b**3/3 + 2429*b. Determine m so that c(m) = 0.
0, 1, 2, 8
Solve -28/3 - 1/6*z**3 + 1/3*z**2 + 55/6*z = 0.
-7, 1, 8
Let b = -32770 + 32770. Suppose 4*d**2 - 4/7*d**5 + b - 8/7*d - 36/7*d**3 + 20/7*d**4 = 0. Calculate d.
0, 1, 2
Let d(h) be the second derivative of -2*h**6/105 - 17*h**5/35 - 22*h**4/21 + 80*h**3/7 + 2*h + 7603. Let d(s) = 0. Calculate s.
-15, -4, 0, 2
Let b(z) be the first derivative of -z**6/30 - 2*z**5/25 + 3*z**4/20 + 1393. Find y, given that b(y) = 0.
-3, 0, 1
Let v(r) = -7*r**3 - 84*r**2 - 225*r - 158. Let a(y) = -3*y**3 - 40*y**2 - 113*y - 80. Let t(x) = 5*a(x) - 2*v(x). Factor t(h).
-(h + 1)*(h + 3)*(h + 28)
Let z be 2/((-14)/28*4/(-6)). Let z*m**2 + 2*m**2 - 18*m**2 - 12 - 34*m = 0. Calculate m.
-3, -2/5
Let v(n) = -3*n - 2. Let o be v(-6). Let z(l) = -l - 4. Let a be z(-7). Suppose -a - 16*y + o*y + 96*y**3 - 18*y = 0. Calculate y.
-1/4, 1/2
Let z(r) be the third derivative of -r**7/1575 - 2*r**6/225 - r**5/30 - 1274*r**2. Find x, given that z(x) = 0.
-5, -3, 0
Suppose 0 = 13*v + 46 - 110 + 38. Let u be (-102)/(-8) - 2/(-8). Let 6*i - 28*i**5 + u*i**2 + 3*i**v - 16*i**4 + 30*i**3 - 4*i - 4*i**5 = 0. Calculate i.
-1, -1/4, 0, 1
Let c = 373407/653548 - -7/93364. Let c*n**2 + 8/7 + 12/7*n = 0. What is n?
-2, -1
Let h(f) be the third derivative of 5*f**8/336 - 29*f**7/420 + 17*f**6/240 + f**5/60 + 123*f**2 + 2. Solve h(w) = 0.
-1/10, 0, 1, 2
Let t = 22289 - 22285. Determine v so that -15/4*v**2 + 9/4*v + 3/4*v**3 + 0 + 3/4*v**t = 0.
-3, 0, 1
Let w(f) be the third derivative of f**7/105 - 33*f**6/20 + 49*f**5/15 + 448*f**2. Suppose w(r) = 0. What is r?
0, 1, 98
Let n = -299 - -11. Let c = -286 - n. Let 1/3*j + 1/3*j**c - 1/3*j**3 - 1/3 = 0. Calculate j.
-1, 1
Let q(l) be the third derivative of -l**7/140 + 97*l**6/80 + 99*l**5/40 - 97*l**4/16 - 49*l**3/2 - 6*l**2 - 30*l. What is v in q(v) = 0?
-1, 1, 98
Suppose -20*h = -21*h + 539. Suppose 5*j + h - 2062 = -4*f, -1960 = -5*f + 5*j. Factor 0*b**2 + 393 + b**2 - 5*b - f.
(b - 3)*(b - 2)
Let r(k) be the second derivative of -k**4/3 + 6580*k**3/3 - 5412050*k**2 - 4116*k. Let r(c) = 0. What is c?
1645
Let i(u) be the first derivative of u**4/2 + 634*u**3 - 3816*u**2 + 7640*u - 9143. Factor i(z).
2*(z - 2)**2*(z + 955)
Let o(s) = s**2 - 2*s - 6. Let a be o(4). Suppose 3*d - 3 = -c + 10, 2 = a*d - c. Factor -20*z**3 + 14*z**3 - d*z - z + 10*z**2 + 2*z**5 - 2*z**4.
2*z*(z - 1)**3*(z + 2)
Let y = 253406/183 + -1834/61. Let n = 1360 - y. What is j in -16/3*j**4 + 0*j**2 - n*j**3 - 4/3*j**5 + 0*j + 0 = 0?
-2, 0
Factor -419*f**2 + 196*f**2 - 72 + 156*f - 64*f**3 + 191*f**2.
-4*(f + 2)*(4*f - 3)**2
Let r = -425573/10 - -42572. Factor 21/10*s**3 - 1/10*s**4 + 0 - r*s**2 + 343/10*s.
-s*(s - 7)**3/10
Let l(n) be the second derivative of -n**7/21 + n**6/3 + 4*n**5/5 - 22*n**4/3 - 32*n**3/3 + 64*n**2 + 1568*n. Suppose l(u) = 0. What is u?
-2, 1, 4
Let z(h) = 2*h**2 + 15*h + 8. Let q be z(-11). Suppose 0 = -r + 89 - q. Factor -29*d**2 - 7*d**2 + r*d + 15*d**4 - 3*d + 9*d**3 + 11*d.
3*d*(d - 1)*(d + 2)*(5*d - 2)
Let l(n) be the first derivative of -2*n**3/3 + 908*n**2 + 1818*n + 6547. Let l(o) = 0. Calculate o.
-1, 909
Let z(t) = 2*t**3 + 318*t**2 + 10*t - 342. Let m(w) = w - 2. Let k(i) = 12*m(i) - z(i). Factor k(y).
-2*(y - 1)*(y + 1)*(y + 159)
Let c(t) be the first derivative of 90*t**3 - 2155*t**2/2 - 40*t - 92. Factor c(w).
5*(w - 8)*(54*w + 1)
Find p, given that -21/5*p**3 + 54 - 33/5*p**2 + 3/5*p**4 + 261/5*p = 0.
-3, -1, 5, 6
Let p(m) = -229*m**2 + 13363*m - 13337. Let f(q) = 66*q**2 - 4454*q + 4446. Let s(y) = 7*f(y) + 2*p(y). Let s(v) = 0. Calculate v.
1, 1112
Let b be (0 - 2/7)/(13*(-225)/4095). Let z(r) be the first derivative of -b*r**5 - 2*r**4 - 2*r - 18 - 4*r**3 - 4*r**2. Solve z(s) = 0 for s.
-1
Suppose 76*t = 17586 - 17434. Let -4/11*n**3 - t - 50/11*n**2 - 68/11*n = 0. What is n?
-11, -1, -1/2
Let g(t) be the second derivative of 3*t**5/20 + 327*t**4/4 + 163*t**3 - 10*t + 11. Factor g(h).
3*h*(h + 1)*(h + 326)
Let y = 34 - 36. Let b be (16/12 - y)*(-16)/(-20). Factor b + 6*v**5 + 134/3*v**3 + 16*v + 26*v**4 + 38*v**2.
2*(v + 1)**3*(3*v + 2)**2/3
Let o = 6/187871 + 187823/1502968. Factor o*i - 1/8*i**3 - 3/8 + 3/8*i**2.
-(i - 3)*(i - 1)*(i + 1)/8
Let m be (-10)/(-12) - (-12 + (-424)/(-48)). Let q(a) be the second derivative of 0 - 1/50*a**5 + 0*a**2 + 0*a**3 - 15*a - 1/30*a**m. Factor q(g).
-2*g**2*(g + 1)/5
Suppose 1093 = 16*a + 405. Suppose a - 13 = 6*j. Determine z so that 10*z - 4*z**2 + 18*z**4 - 21*z**2 - 15*z**5 - 14*z**4 + j*z**3 + 21*z**4 = 0.
-1, 0, 2/3, 1
Let i(k) = k**2 + 5*k - 4. Let m(f) = -f**2 + 1310*f - 1321. Let a(l) = 6*i(l) + m(l). Solve a(c) = 0.
-269, 1
Let v(m) be the third derivative of 0 + 1/30*m**6 - 1/30*m**5 - 1/3*m**4 + m**3 + 58*m - m**2. Find u, given that v(u) = 0.
-3/2, 1
Determine i so that -23*i**5 + 108*i**4 - 17*i**5 - 2268*i + 195*i**4 + 57*i**3 - 3861*i**2 + 129*i**3 + 4*i**5 - 324 = 0.
-3, -1/3, -1/4, 6
Suppose -5*y = -5*x + 3*x + 21, -2*x + 12 = 4*y. What is g in -5*g - x - 13 + 11 + 5*g**2 = 0?
-1, 2
Let c = 456128/25 + -18245. Let v(t) be the first derivative of c*t**5 + 9/20*t**4 - 1 + 2/5*t**3 + 0*t + 0*t**2. Let v(m) = 0. What is m?
-2, -1, 0
Factor -1446 + 4446 - 71*o**2 - 160*o + 47*o**2 + 26*o**2.
2*(o - 50)*(o - 30)
Let j(o) = 5895*o**2 - 9140*o + 3480. Let r(x) = 842*x**2 - 1306*x + 497. Let l = 213 + -193. Let k(z) = l*r(z) - 3*j(z). Factor k(c).
-5*(13*c - 10)**2
Let j(p) be the third derivative of p**6/120 + 13*p**5/60 + 7*p**4/12 + 13*p**3/3 - 16*p**2. Let x be j(-12). Factor -5*a**2 - 3 + a**x + 6 + a**2.
-3*(a - 1)*(a + 1)
Let h(p) be the first derivative of 4/3*p**3 - 89 + 0*p**2 + 0*p + 1/14*p**4. Factor h(c).
2*c**2*(c + 14)/7
Let y(h) = 3 - 7*h**2 - 7*h + h - 8*h - h + 10*h. Let s be y(0). Let -3/7*c**s - 9/7 - 15/7*c**2 - 3*c = 0. What is c?
-3, -1
Let r be 2/2 + 3816/24. Find h, given that r*h + 2*h**3 - 30 + 128*h - 34*h**2 - 226*h = 0.
1, 15
Let c(n) = -2*n + 38. Let g be c(-12). Let b = -59 + g. Solve -4*y**2 - 20*y - 4*y**3 - 12 - 7*y**b + 15*y**3 = 0.
-1, 3
Find p, given that 3*p**4 - 290 - 152*p + 238 - p**4 + 148*p**2 - 98 + 152*p**3 = 0.
-75, -1, 1
Let z = 2365 - 2362. Suppose 18 = -g + 6*n, -z*n - 46 = -5*g - 7*n. Let -g*t - 6/7*t**2 - 60/7 = 0. Calculate t.
-5, -2
Let h = -467549/50 - -9351. Let t(m) be the second derivative of 0*m**2 + 0 - 1/30*m**4 + 1/75*m**6 - 23*m + 0*m**3 + 1/105*m**7 - h*m**5. Factor t(v).
2*v**2*(v - 1)*(v + 1)**2/5
Suppose -2*c - 20 = -4*c - 5*f, c + 3*f = 12. Let p be (-45 - c)*-1*(-18)/(-330). Factor -27/11*t - 1/11*t**3 - p - 9/11*t**2.
-(t + 3)**3/11
Suppose 3*w + 7 = 13. Factor 9*j