4 + 0 + 1/60*r**5. Solve l(z) = 0.
-1, 1/2
Let n(v) = 3*v - 33. Let b be n(14). Suppose b*f**3 + 188*f - 1 - 12*f**2 - 185*f + 1 = 0. What is f?
0, 1/3, 1
Let q(y) be the second derivative of -y**4/84 + y**3/7 - 4*y + 4. Solve q(z) = 0.
0, 6
Factor 200/21 - 2/21*i**2 + 2*i.
-2*(i - 25)*(i + 4)/21
Let t = -2127 - -2130. Solve -3/2*w**4 + 0 - 21/2*w**2 + 15/2*w**t + 9/2*w = 0 for w.
0, 1, 3
Let i be 1/2 - (-5 + (-42)/(-4)). Let l(a) = -12*a**2 + 48*a - 32. Let g(x) = 4*x**2 - 16*x + 11. Let y(u) = i*l(u) - 16*g(u). Let y(b) = 0. What is b?
2
Let a = 644 + -28979/45. Let n = a + 1/5. Factor 2/9*w**2 + 4/9*w + n.
2*(w + 1)**2/9
Let w(n) = n**2 + 7*n - 2. Suppose -l = -0*l + 8. Let q be w(l). Factor k**2 + 15 - q*k - 14*k + 4*k**2.
5*(k - 3)*(k - 1)
Let z(b) = 7*b**3 - 93*b**2 + 2526*b - 24386. Let j(d) = 19*d**3 - 277*d**2 + 7577*d - 73159. Let m(u) = 3*j(u) - 8*z(u). Find t such that m(t) = 0.
29
Let y be (((-104)/(-65))/1)/(12/15). Let s(f) be the first derivative of -y*f - 2/3*f**2 + 2/9*f**3 + 13. Solve s(l) = 0 for l.
-1, 3
Let s(i) be the first derivative of -i**6/720 + i**5/90 - i**4/36 + 2*i**2 + 4*i + 51. Let q(r) be the second derivative of s(r). Find v such that q(v) = 0.
0, 2
Let o(b) = b**3 + 8*b**2 + b + 10. Let w be o(-8). What is j in 2*j**2 - j**2 - 18*j + 14*j - w*j**2 = 0?
-4, 0
Let n(v) be the second derivative of v**7/14 - 7*v**6/10 - 3*v**5/20 + 7*v**4/4 - 69*v. Factor n(q).
3*q**2*(q - 7)*(q - 1)*(q + 1)
Let k(v) = -2*v**3 - v + 3. Let z(j) = -3*j**3 + 4 + j - 3*j - j**2 + 0*j. Let q be (28/(-35))/((-1)/5). Let m(o) = q*k(o) - 3*z(o). Factor m(x).
x*(x + 1)*(x + 2)
Find i, given that -611 + 1438 - 36*i**3 + 8*i - 747 + 8*i - 180*i**2 = 0.
-5, -2/3, 2/3
Let w be (216/180)/((-8)/(-5)). Factor -w*h - 1 + 1/4*h**2.
(h - 4)*(h + 1)/4
Let q(c) = -c**3 - 10*c**2 + 26*c + 27. Let r be q(-12). Let k(z) be the second derivative of 0*z**2 + 1/80*z**5 + 1/16*z**4 + 1/12*z**r + 0 - 3*z. Factor k(o).
o*(o + 1)*(o + 2)/4
Let t(b) be the third derivative of -b**5/45 + b**4/3 - 16*b**3/9 - 306*b**2. Determine u so that t(u) = 0.
2, 4
Let b(g) be the first derivative of -g**5/100 + g**4/20 - g**3/10 + 9*g**2/2 + 10. Let v(d) be the second derivative of b(d). Solve v(f) = 0 for f.
1
Suppose 0 = -8*i - 873 + 889. Factor -4/7*g + 0*g**i + 4/7*g**3 + 2/7 - 2/7*g**4.
-2*(g - 1)**3*(g + 1)/7
Let p(g) be the second derivative of g**4/120 - 89*g**3/60 + 22*g**2/5 + 575*g. Factor p(w).
(w - 88)*(w - 1)/10
Let y(k) = -k**2 + 1223*k - 1234. Let b(l) = l**2 - 2448*l + 2469. Let z(s) = -6*b(s) - 11*y(s). Factor z(m).
5*(m - 1)*(m + 248)
Suppose -2*k + 3*c = -c + 16, c + 21 = -2*k. Let z = -8 - k. Factor -1/5*q**z + 1/5*q + 0.
-q*(q - 1)/5
Let x(u) be the first derivative of -u**4/2 + 20*u**3/3 + 32*u**2 - 768*u - 294. What is z in x(z) = 0?
-6, 8
Solve 3*x**3 + 22*x**2 - 6*x**2 + 26*x**2 + 66*x - 3*x**2 = 0 for x.
-11, -2, 0
Factor 52*m + 4*m + 194 + 2*m**2 + 36.
2*(m + 5)*(m + 23)
Let q = 81/32 - 179/96. Factor 0 + 2/3*o**3 - q*o**2 + 0*o.
2*o**2*(o - 1)/3
Find f such that -124/9*f**4 - 16/9 - 16/9*f - 40/9*f**3 + 56/9*f**5 + 140/9*f**2 = 0.
-1, -2/7, 1/2, 1, 2
Let y(n) be the third derivative of 2*n**7/945 + 7*n**6/270 + 11*n**5/135 + 5*n**4/54 + 14*n**2 + 1. Factor y(k).
4*k*(k + 1)**2*(k + 5)/9
Let c = -12 + 21. What is l in -5*l**2 - 6*l - c*l - 9 - 1 = 0?
-2, -1
Let z(h) be the second derivative of -96*h**7/35 + 208*h**6/75 + 551*h**5/25 - 138*h**4/5 + 40*h**3/3 - 16*h**2/5 - 57*h. Find a such that z(a) = 0.
-2, 2/9, 1/4, 2
Suppose y = 2*y - 4. Factor -4 - y*k + 3*k**3 + 2*k**3 + k**3 - 2*k**3 + 4*k**2.
4*(k - 1)*(k + 1)**2
Let r(z) be the second derivative of z**6/15 + z**5/5 - z**4/2 - 8*z**3/3 - 4*z**2 + 85*z. Factor r(f).
2*(f - 2)*(f + 1)**2*(f + 2)
Let b = 165/2 + -821/10. Factor 0 - b*k**2 - 8/5*k.
-2*k*(k + 4)/5
Let g(p) = -137*p + 2058. Let s be g(15). Factor -1/2*h**5 + 0*h + 0*h**2 - 8*h**s + 0 + 4*h**4.
-h**3*(h - 4)**2/2
Let r(a) be the first derivative of -a**9/6048 + a**7/840 - a**5/240 - 17*a**3/3 + 31. Let s(l) be the third derivative of r(l). Find c, given that s(c) = 0.
-1, 0, 1
Let d = -50 - -53. Determine c, given that -2/9*c + 1/9*c**4 - 1/3*c**2 + 0*c**d + 0 = 0.
-1, 0, 2
Let d(c) be the third derivative of -c**8/1008 - c**7/315 + c**6/45 + 4*c**5/45 - 2*c**4/9 - 16*c**3/9 + 220*c**2. Factor d(i).
-(i - 2)**2*(i + 2)**3/3
Let l(g) = 29 + 2*g - 29. Let c be l(1). Let b(s) = s**3 + s**2 + s + 1. Let f(r) = r**3 + 2*r**2 + 5*r. Let v(a) = c*b(a) - f(a). Solve v(o) = 0 for o.
-2, 1
Let t = 13 - 33. Let v = t - -31. Factor -v*h**3 + 2*h**3 - 8*h + 4*h**2 + 13*h**3.
4*h*(h - 1)*(h + 2)
Let d(x) be the third derivative of 7/6*x**3 - 1/108*x**4 + 8*x**2 + 0*x + 0*x**5 + 1/1620*x**6 + 0. Let m(r) be the first derivative of d(r). Factor m(b).
2*(b - 1)*(b + 1)/9
Let q(h) = -7 + 17 + 4*h + 20. Let y be q(-7). Factor -8/9*c**y - 4/9 - 2/9*c**3 - 10/9*c.
-2*(c + 1)**2*(c + 2)/9
Let l(z) be the third derivative of z**8/1176 - 17*z**7/735 - 19*z**6/210 + 741*z**2. Factor l(r).
2*r**3*(r - 19)*(r + 2)/7
Let h(o) = 14*o**2 - 2261*o - 2341. Let w(n) = -3*n**2 + 452*n + 467. Let d(p) = -2*h(p) - 11*w(p). Factor d(x).
5*(x - 91)*(x + 1)
Let n(o) be the second derivative of -3*o**7/7 + 56*o**6/5 - 527*o**5/5 + 402*o**4 - 427*o**3 + 196*o**2 - 3*o - 4. Suppose n(j) = 0. What is j?
1/3, 4, 7
Solve 3/7*p**2 + 0 + 0*p**3 - 1/7*p**4 + 2/7*p = 0.
-1, 0, 2
Factor 15*g + 5/2*g**2 + 45/2.
5*(g + 3)**2/2
Let r = -228 + 236. Let p(h) be the third derivative of 0 - 3/16*h**4 + 1/4*h**3 + 0*h + 3/40*h**5 + r*h**2 - 1/80*h**6. Factor p(g).
-3*(g - 1)**3/2
Let 72*b + 32*b**2 - b**2 - 345*b**3 + 347*b**3 - 7*b**2 = 0. What is b?
-6, 0
Let u(f) be the first derivative of -1/20*f**5 - 1/2*f**3 - 2 + 1/4*f**4 + 1/2*f**2 - 1/4*f. Solve u(r) = 0.
1
Let o = 25030689825083/14967 - 1672391919. Let m = 2/1663 - o. Let 16/9 - 56/9*r + 76/9*r**2 - 2/9*r**5 - 50/9*r**3 + m*r**4 = 0. What is r?
1, 2
Let k(r) = -3*r**2 - 9*r - 10. Let n be k(-3). Let y be 12/150*5 + (-16)/n. Solve -4/5*a**y + 0*a + 0 - 4/5*a**3 = 0 for a.
-1, 0
Find m, given that m**4 + 3*m**4 - 5*m**3 - 4*m**4 + 10*m**2 - 15*m**2 + 5*m**4 + 5*m**5 = 0.
-1, 0, 1
Let i(o) be the second derivative of 0*o**2 + 0 - o - 1/165*o**6 + 1/33*o**3 + 1/66*o**4 - 1/110*o**5. Find l, given that i(l) = 0.
-1, 0, 1
Solve 158/3*l - 2/3*l**4 + 2*l**2 - 36 - 18*l**3 = 0.
-27, -2, 1
Let c(u) be the second derivative of u**7/21 - 31*u**6/15 + 19*u**5 + 383*u**4/3 + 833*u**3/3 + 289*u**2 + 183*u. Determine w, given that c(w) = 0.
-1, 17
Factor -5*k - 5*k**3 - 656 - 15*k**2 + 656 + 5*k**2.
-5*k*(k + 1)**2
Factor -6*y - 3/2*y**3 + 18 - 21/2*y**2.
-3*(y - 1)*(y + 2)*(y + 6)/2
Let c(g) be the first derivative of 0*g**2 + 0*g - 1/3*g**6 + 0*g**4 - 1 - 6/5*g**5 + 8/3*g**3. Let c(v) = 0. Calculate v.
-2, 0, 1
Determine c, given that 31*c**2 - 25*c**4 + 4 + 21*c**4 + 28*c**3 - 2 + 8*c - 2 = 0.
-1/2, 0, 8
Let u(g) be the second derivative of g**4/36 - 40*g**3/9 + 800*g**2/3 + 2*g - 28. Find f such that u(f) = 0.
40
Let f = 1/2 + -1/10. Let m be (98/(-35) - -3)/(1/2). Factor f - 2/5*a**2 + m*a - 2/5*a**3.
-2*(a - 1)*(a + 1)**2/5
Let s(t) be the first derivative of 0*t**3 + 3/40*t**5 - 2 + 0*t**2 - 6*t + 1/8*t**4. Let o(r) be the first derivative of s(r). Factor o(f).
3*f**2*(f + 1)/2
Suppose 2978*b = 3003*b - 75. Solve 1/2*z**b + 0*z**2 - 1/2*z + 0 = 0.
-1, 0, 1
Suppose 0 = 3*j + v - 8, -3*j - j = -v - 13. Let w(f) be the first derivative of j + 0*f + 0*f**2 + 0*f**4 + 3/5*f**5 - 1/2*f**6 + 0*f**3. Factor w(k).
-3*k**4*(k - 1)
Let l be (-1)/(-6) - 55/(-66). Suppose 5*s - 2*y + 2 - l = 0, -12 = -4*y. Factor -t + 2*t + 0*t + 4*t**2 + s + 4*t.
(t + 1)*(4*t + 1)
Let w = 1526/3 - 10607/21. Suppose w*m**2 + 16/7*m + 4/7 + m**4 + 19/7*m**3 + 1/7*m**5 = 0. Calculate m.
-2, -1
Suppose -3*f + 20 = 5*t, 2*t - 5*f = -0*f + 8. Suppose 0 = -156*x + 158*x - t. Factor -18/7*p - 3/7*p**x - 27/7.
-3*(p + 3)**2/7
Let j be ((-25)/8)/((-215)/1204). Solve -75*d**2 - 5/4 - j*d - 125/2*d**3 + 625/4*d**4 = 0 for d.
-1/5, 1
Let x(p) be the second derivative of p**7/147 + 2*p**6/105 - 4*p**5/35 - 8*p**4/21 + 16*p**3/21 + 32*p**2/7 - 31*p. Solve x(z) = 0 for z.
-2, 2
Suppose 40 = -5*g, -8*f = -9*f - 2*g - 14. Factor -7/4*z + 3/2 + 1/4*z**f.
(z - 6)*(z - 1)/4
Let 