 1/60*c**5 + 0*c**4 + 0*c**3 + v*c**2 + 0. Factor g(j).
j**2*(j + 1)
Let a(n) = 31*n**4 + 72*n**3 + 175*n**2 + 90*n + 33. Let t(x) = 11*x**4 + 24*x**3 + 59*x**2 + 30*x + 12. Let y(l) = -4*a(l) + 11*t(l). Solve y(j) = 0 for j.
-5, -2, -1, 0
Factor 5*m**2 + 60*m - 122 + 3*m**2 + 346 - 4*m**2.
4*(m + 7)*(m + 8)
Let r(s) be the first derivative of 270*s**4 - 7740*s**3 + 83205*s**2 - 397535*s - 2404. Solve r(z) = 0 for z.
43/6
Let r(k) be the third derivative of -k**6/320 + 137*k**5/40 - 1637*k**4/64 + 545*k**3/8 - k**2 - 1149. What is n in r(n) = 0?
1, 2, 545
Let j = 14/65 - -4/585. Let v(h) be the first derivative of -38 + 0*h**2 - 2/3*h + j*h**3. Suppose v(o) = 0. Calculate o.
-1, 1
Let o(q) = -q - 16. Let b be o(-16). Suppose 3*v + 29 - 230 = b. Let -66*l**2 + v*l**2 - 2*l**3 + l**4 + 0*l**4 = 0. Calculate l.
0, 1
Suppose 0*r + f = -5*r + 40, 4*r = -5*f + 11. Suppose r*m = 294 - 249. Factor 4/7*w**2 + 0 + 6/7*w**3 + 0*w**4 - 2/7*w**m + 0*w.
-2*w**2*(w - 2)*(w + 1)**2/7
Let v(g) be the second derivative of -25 - 5/3*g**3 - 1/6*g**4 - 4*g**2 + g. Determine q, given that v(q) = 0.
-4, -1
Let h(a) = -4*a + 26. Let y be h(0). Factor -2 + 10*r - y*r - r**2 + 19*r.
-(r - 2)*(r - 1)
Suppose 0 = 601*o - 626*o - 0 + 35 + 15. Determine r, given that -64/3 - 16/3*r**3 + 1/3*r**5 - 20/3*r**o + 32*r + r**4 = 0.
-4, 1, 2
Let p(c) be the second derivative of 0*c**2 + 3 - 11*c + 1/4*c**6 + 9/10*c**5 + 1/2*c**3 + 9/8*c**4. Let p(u) = 0. Calculate u.
-1, -2/5, 0
Let z(o) be the second derivative of -o**6/165 + 59*o**5/110 - 257*o**4/22 - 3131*o**3/33 + 3844*o**2/11 + 1955*o. Find a, given that z(a) = 0.
-4, 1, 31
Let c(t) = t**3 + 3*t**2 + 2*t + 3. Let p be c(-2). Let b = -200 + 204. Suppose -m**p + 5*m**3 - 3*m**b - 10*m**3 = 0. Calculate m.
-2, 0
Let y = 33 + -68. Let n be ((-2)/12)/(2 + y/15). Factor -n*c + 1/4*c**2 - 3/4.
(c - 3)*(c + 1)/4
Let u(a) = -20*a**4 + 48*a**3 - 10*a**2 - 3. Suppose 1 = -3*q + 13. Let g(w) = -20*w**4 + 49*w**3 - 10*w**2 - 4. Let x(l) = q*u(l) - 3*g(l). Factor x(i).
-5*i**2*(i - 2)*(4*i - 1)
Let j(q) = 2*q**2 - 9*q + 6. Let h be j(4). Suppose 2*u - 4 = 0, 4*u = -0*b + 2*b - 16. Let b*t**2 + h*t**3 - t**2 + t**2 - 64 = 0. What is t?
-4, 2
Let q(b) be the third derivative of -b**6/120 + 3*b**5/4 - 187*b**4/12 - 53*b**2 + 69. Suppose q(x) = 0. Calculate x.
0, 11, 34
Let n(d) = -d**2 + 27*d - 107. Let s be n(22). Suppose -4 - 4 - 3 + s*h**2 + 6*h + 2 = 0. Calculate h.
-3, 1
Let n be 3 + (((-20)/4)/(-5))/1. Suppose 4 = -n*w + l + 8, -5*w - 4*l = 16. Factor 0 - 2/11*i**5 + w*i - 6/11*i**3 - 2/11*i**2 - 6/11*i**4.
-2*i**2*(i + 1)**3/11
Let o be 32/144 + (14 - (-384)/(-756)). Factor o*b**2 + 45*b + b**3 - 14.
(b + 7)**2*(7*b - 2)/7
Factor -3*h**3 - 19*h - 16*h - 16*h**2 + 48*h + 2*h**2 + 4*h**3.
h*(h - 13)*(h - 1)
Let q be 98/36*(12 + 33/(6006/(-1976))). Let 10/9*s + q - 2/9*s**2 = 0. What is s?
-2, 7
Let p(w) be the first derivative of 3*w**5/5 - 249*w**4/2 - 5753. Find d such that p(d) = 0.
0, 166
Let f(u) be the first derivative of u**5/30 - u**4/12 - 2*u**3/3 + 15*u**2 + 12. Let p(d) be the second derivative of f(d). Let p(q) = 0. Calculate q.
-1, 2
Let r = -5028 + 5032. Let x(d) be the second derivative of 0*d**2 + 0 - 18*d + 1/2*d**6 + 0*d**3 - 5/12*d**r + 1/8*d**5. Factor x(q).
5*q**2*(2*q - 1)*(3*q + 2)/2
Let f(n) = -2*n**2 - 28*n - 24. Suppose -2514*q - 24 = -2508*q. Let d(u) = -2*u**2 + 4*u**2 - 3*u + 32*u + 24. Let b(m) = q*d(m) - 6*f(m). Solve b(a) = 0 for a.
-12, -1
Let u(y) be the second derivative of y**5/140 - y**4/28 - 24*y**3/7 - 10*y**2 + 4*y - 367. Suppose u(k) = 0. What is k?
-10, -1, 14
Let l(o) be the second derivative of -o**5/50 + o**4/30 + 8*o**3/5 + 36*o**2/5 + 35*o + 6. What is u in l(u) = 0?
-3, -2, 6
Let u(i) be the second derivative of 0*i**2 - 1/49*i**7 + 1/15*i**6 + 0 + 4/21*i**3 + 200*i - 1/6*i**4 - 1/70*i**5. What is y in u(y) = 0?
-1, 0, 1, 4/3
Let v(u) be the third derivative of -2*u**7/315 - 43*u**6/180 - 46*u**5/45 + 19*u**4/12 - 1400*u**2. Suppose v(y) = 0. Calculate y.
-19, -3, 0, 1/2
Let k(g) be the second derivative of -33*g**4/28 - 100*g**3/21 - 2*g**2/7 + 8*g - 34. Suppose k(h) = 0. Calculate h.
-2, -2/99
Let i = -1456726 + 7283726/5. Solve 128/5 + 64/5*o**3 + 16/5*o**4 - 6/5*o**5 - i*o**2 - 32*o = 0.
-2, 2/3, 2, 4
Let n(q) be the third derivative of 5*q**6/72 - 13*q**5/6 + 25*q**4/6 - 7*q**3/2 + q**2 + 17. Let c(i) be the first derivative of n(i). Factor c(y).
5*(y - 10)*(5*y - 2)
Let v be 140/42 + ((-65)/26)/(6/8). Let t be 10/65*(-1 - -4). Factor -4/13*x + v*x**3 + 0 - t*x**2 + 2/13*x**4.
2*x*(x - 2)*(x + 1)**2/13
Let b be (9/(-12))/(2782/(-104) + 25). Factor -867/7 - b*h**2 - 102/7*h.
-3*(h + 17)**2/7
Let k(s) be the first derivative of s**6/60 + s**5/6 + s**4/3 + 27*s**2 + 60. Let o(j) be the second derivative of k(j). Let o(m) = 0. What is m?
-4, -1, 0
Let 3/4*o**5 + 1911/4*o**2 + 0 + 1029/2*o + 69/4*o**4 + 567/4*o**3 = 0. Calculate o.
-7, -2, 0
Suppose 5*k + 29 - 2 = 4*q, 5*k + 21 = 2*q. Factor -40*b**2 - 25*b**3 - 14*b**3 + 29*b**q + 5*b**4.
5*b**2*(b - 4)*(b + 2)
Let u(x) be the first derivative of -x**6/10 - 48*x**5/25 - 207*x**4/20 - 54*x**3/5 - 113. Let u(g) = 0. Calculate g.
-9, -6, -1, 0
Let n = 136405/119 + -19484/17. What is x in 0 - 23/7*x**2 + n*x**3 - 24/7*x = 0?
-1, 0, 24
Suppose -10*q + 44 = 14. Let t(x) be the first derivative of -x**4 - 28/5*x**5 - 5 + 2*x**6 + 28/3*x**q - 4*x**2 + 0*x. What is s in t(s) = 0?
-1, 0, 1/3, 1, 2
Suppose -3*y - 4813 = -2*j, 2*j + 4*y - 7245 = -j. Determine s, given that -15*s**3 - 2435 + s + 3*s**5 - 6*s**4 + j + 11*s + 30*s**2 = 0.
-2, -1, 1, 2
Let i(o) be the second derivative of 4 + 1/40*o**5 + 39*o + 5/36*o**3 - 1/180*o**6 + 1/8*o**4 + 0*o**2. Factor i(q).
-q*(q - 5)*(q + 1)**2/6
Factor 108 - 3/2*o**2 + 51*o.
-3*(o - 36)*(o + 2)/2
Let j(v) be the third derivative of -v**8/336 - 2*v**7/105 - v**6/120 + 7*v**5/30 + 5*v**4/6 + 4*v**3/3 + 23*v**2 + 11*v. Suppose j(x) = 0. What is x?
-2, -1, 2
Let w = -487258 + 487263. Suppose -5*h**3 + 0 - 500/3*h**w + 0*h + 50*h**4 + 1/6*h**2 = 0. Calculate h.
0, 1/10
Let m(f) be the third derivative of -f**5/270 + 53*f**4/54 - 2*f**2 - 715*f. Factor m(z).
-2*z*(z - 106)/9
Suppose 9*m = 2*y - 130, -64 = 1640*y - 1637*y + 5*m. Solve 11/4*k + 0 + 1/4*k**y = 0 for k.
-11, 0
Let z(l) be the third derivative of -l**5/480 - 163*l**4/192 + 83*l**3/8 + 205*l**2 + l. Factor z(q).
-(q - 3)*(q + 166)/8
Let m = 1/6447 - -817/10745. Let f(o) be the third derivative of 1/12*o**4 - 1/56*o**8 + 0*o**5 + 0 + 0*o**3 + 0*o - 1/10*o**6 + m*o**7 - 19*o**2. Factor f(r).
-2*r*(r - 1)**3*(3*r + 1)
Let o(v) be the first derivative of v**4/9 - 8*v**3/9 - 50*v**2/9 + 200*v/3 - 6306. Suppose o(p) = 0. What is p?
-5, 5, 6
Let n = -41343 + 41348. Let 0 - n*y**4 - 4/3*y**5 - 16/3*y**3 + 2/3*y - y**2 = 0. Calculate y.
-2, -1, 0, 1/4
Determine x so that -2*x**4 + 59 + 64 - 4*x**3 + 73 - 194 - 2*x + 6*x = 0.
-1, 1
Let k(d) be the second derivative of 5/2*d**3 + 1/4*d**4 + 0 + 9*d**2 - 7*d. Find z such that k(z) = 0.
-3, -2
Let t(x) be the first derivative of -4/3*x**3 - 19 - 36*x - 12*x**2. Factor t(a).
-4*(a + 3)**2
Let m be (-22 + (-776)/(-35))*(-60)/(-18). Let 16/7*z + 12/7 + m*z**2 = 0. Calculate z.
-3, -1
Let w(p) be the second derivative of p**7/630 + p**6/72 + p**5/20 + 7*p**4/72 + p**3/9 - 74*p**2 - 180*p. Let r(j) be the first derivative of w(j). Factor r(z).
(z + 1)**3*(z + 2)/3
Let o(u) be the second derivative of 2*u - 5/6*u**3 + 1/12*u**4 - 4 + 3*u**2. Factor o(v).
(v - 3)*(v - 2)
Suppose -132*c - 146*c + c**2 + 291*c - 48 = 0. What is c?
-16, 3
Let y(o) = -o**3 - o**2. Suppose -12*j + 22 + 2 = 0. Let q(w) = 2*w**j - 4*w**2 + 3*w**2 - 54*w**3 + 53*w**3. Let i(l) = 6*q(l) - 2*y(l). Factor i(r).
-4*r**2*(r - 2)
Factor 543169/3 - 1474/3*f + 1/3*f**2.
(f - 737)**2/3
Let z(p) be the second derivative of -p**5/90 - 5*p**4/27 - 17*p**3/27 - 8*p**2/9 - 5*p + 115. Solve z(t) = 0.
-8, -1
Suppose 5*o = -s + 8, -3*s + 7*s + 19 = -3*o. Let c = 14 + s. Suppose 19*l + 8*l**2 - c*l - 4*l + 2*l**3 = 0. Calculate l.
-2, 0
Let r(v) be the first derivative of -1/6*v**6 - 5 + 5/3*v**3 - 20*v + 5/2*v**2 - 1/2*v**5 + 0*v**4. Let y(h) be the first derivative of r(h). Factor y(f).
-5*(f - 1)*(f + 1)**3
Let s = -4858899/56 - -607365/7. Find q, given tha