be (-161)/28 - (5 - 11). Let j(t) = t**2 + 7*t + 2. Let a be j(-7). Factor b*f**3 - f**a + f + 0.
f*(f - 2)**2/4
Let a(u) be the second derivative of -u**5/10 + u. Let i(m) = 2*m**3 - m**2. Let d = -64 + 68. Let t(y) = d*i(y) + 3*a(y). Factor t(x).
2*x**2*(x - 2)
Suppose -3*a + 27 = 5*c, 24*c - 19*c + 5 = 5*a. Let d(b) be the first derivative of 0*b**3 + 6*b + 3/4*b**a + 10 - 9/2*b**2. Solve d(f) = 0 for f.
-2, 1
Let f(y) be the first derivative of -9*y**4/4 + 28*y**3/15 - 2*y**2/5 + 125. Find s, given that f(s) = 0.
0, 2/9, 2/5
Let t(p) be the first derivative of -p**4/18 + 7*p**3/9 + 8*p**2/3 + 24*p - 4. Let q(k) be the first derivative of t(k). Factor q(s).
-2*(s - 8)*(s + 1)/3
Let o be (-924)/1155*(-5)/7. Factor 0 - o*d**2 - 4/7*d**3 + 0*d.
-4*d**2*(d + 1)/7
Suppose 0 = 3*x - 6, 0 = 3*r - 3*x - 2 - 1. Let s(y) be the first derivative of -2/13*y**2 - 6 + 2/39*y**r + 2/13*y. Factor s(l).
2*(l - 1)**2/13
Let j(x) be the first derivative of x**7/420 - x**6/72 + x**5/120 + x**4/12 - 8*x**3/3 - 38. Let p(g) be the third derivative of j(g). Solve p(o) = 0.
-1/2, 1, 2
Let y(g) be the first derivative of 21*g**5/5 - 39*g**4/2 - 113*g**3 + 144*g**2 + 108*g + 176. What is k in y(k) = 0?
-3, -2/7, 1, 6
Suppose 7*b = -0*b + 49. Find l, given that -b*l + 12*l**2 + 12*l**2 - 9*l**2 - 5 - 3*l = 0.
-1/3, 1
Let x be (5/2000)/(12/16). Let q(z) be the third derivative of 1/5*z**4 + 0 + 5*z**2 - 1/25*z**5 - 8/15*z**3 + 0*z + x*z**6. Factor q(f).
2*(f - 2)**3/5
Suppose 5*m + 0*m - 5 = 0. Let k(c) = -2*c**2 + 7*c**2 + 1 - 12*c + 3*c**3 + 0 + 3. Let s(y) = -y**3 + y. Let z(b) = m*k(b) + 4*s(b). Factor z(d).
-(d - 2)**2*(d - 1)
Let j be (-36 + -6)/(9/6). Let t = j + 28. Factor -3*b**2 + t*b**3 - 4*b**4 + b**4 - 6*b**3.
-3*b**2*(b + 1)**2
Let u(r) = 5*r**4 + 15*r**3 + 23*r**2 + 13*r + 2. Let q(o) = 12*o**4 + 31*o**3 + 46*o**2 + 27*o + 5. Let f(x) = 6*q(x) - 15*u(x). Find k, given that f(k) = 0.
-11, -1, 0
Let t be (-3)/15 + 108/15. Factor -t*x**2 + 3*x + x + 11*x**2.
4*x*(x + 1)
Let m = 39 - 39. Factor o + 3*o + 6 + m + o**2 - 2.
(o + 2)**2
Let s(i) = -i**2 + 83*i - 160. Let u be s(81). Factor -2/7*w**3 - 2/7*w**4 + 2/7*w + 0 + 2/7*w**u.
-2*w*(w - 1)*(w + 1)**2/7
Let y be 10 + -6 - (-119 + 1). Let b = y + -243/2. What is i in -1/2*i**2 + 0*i + b = 0?
-1, 1
Let v(h) = h**3 + 4*h**2 - 4*h + 11. Let j be v(-5). Let i = j + 0. Factor 16*r**2 - 5*r**2 - i - 2*r**2 - 4*r - 7*r**2.
2*(r - 3)*(r + 1)
Suppose 0 = 11*t - 5 - 17. Factor 186*r - t*r**3 + 9*r**2 + r**2 - 198*r.
-2*r*(r - 3)*(r - 2)
Let u be 159/104 - 17/(1105/10). Let 1/2 + 1/2*t**4 - u*t**3 + 2*t - 3/8*t**2 = 0. What is t?
-1, -1/4, 2
Let k(o) = -10*o + 772. Let s be k(77). Solve 0*j**s + 6*j - 3/2*j**3 + 0 = 0 for j.
-2, 0, 2
Let t(c) be the second derivative of -101*c**4/4 - 203*c**3/4 - 3*c**2/4 - c - 234. Factor t(s).
-3*(s + 1)*(202*s + 1)/2
Let j = -17969/4 + 4470. Let c = -611/28 - j. Factor -18/7*l - 27/7 - c*l**2.
-3*(l + 3)**2/7
Let u(y) be the second derivative of 5*y**4/12 - 35*y**3/6 + 25*y**2 - 53*y. Factor u(b).
5*(b - 5)*(b - 2)
Let j be (1888/(-6))/((-4)/6). What is p in -472*p**3 - 3*p**4 + 3*p**2 + j*p**3 = 0?
-1, 0, 1
Let m(r) = -2*r**4 - 6*r**3 - r**2 + 56*r - 33. Let w(n) = -n**4 - 2*n**3 - n**2 + 28*n - 16. Let j(y) = 4*m(y) - 7*w(y). Factor j(t).
-(t - 1)**2*(t + 2)*(t + 10)
Let b(s) be the second derivative of -2*s**7/3 + 8*s**6/5 + 11*s**5/5 - 4*s**4 - 8*s**3/3 - 45*s - 1. Determine p, given that b(p) = 0.
-1, -2/7, 0, 1, 2
Let l(r) be the third derivative of -r**8/3360 - r**7/420 - r**6/180 + 5*r**4/8 + 11*r**2. Let t(u) be the second derivative of l(u). Factor t(f).
-2*f*(f + 1)*(f + 2)
Let r(n) be the first derivative of -2*n**6/15 - n**5/5 + 2*n**4/3 + 14*n + 7. Let m(q) be the first derivative of r(q). What is p in m(p) = 0?
-2, 0, 1
Let y(c) be the first derivative of c**5/180 + c**4/108 - c**3/27 + 9*c - 22. Let u(f) be the first derivative of y(f). Factor u(b).
b*(b - 1)*(b + 2)/9
Suppose 0 = 59*d - 64*d - 525. Let h = 108 + d. Factor -6/7*u**h + 0 - 18/7*u**4 - 2/7*u + 10/7*u**2.
-2*u*(u + 1)*(3*u - 1)**2/7
Let h be ((-12)/2)/(1/(-6)). Factor 46*r - 16 + 34*r - 10*r**3 + 38*r**3 - 56*r**2 - h*r**2.
4*(r - 2)*(r - 1)*(7*r - 2)
Suppose -h + 4*h = 0. Let s be (1 + h)*(6 - 4). Let -2*c**3 + 3*c**4 + 4*c**2 + 8*c**3 - c**s = 0. What is c?
-1, 0
Factor -24*s**3 + 26*s**4 - 22*s**4 - 16*s + 78*s**2 - 21 - 11 - 10*s**3.
2*(s - 4)**2*(s - 1)*(2*s + 1)
Let c(p) be the second derivative of p**4/18 - 20*p**3/9 + 504*p. Factor c(o).
2*o*(o - 20)/3
Let h = -308 - -297. Let m be 3/h*(0 - 2). Factor 4/11*g**2 + 0 - m*g + 2/11*g**3.
2*g*(g - 1)*(g + 3)/11
Let b(f) be the second derivative of -2/7*f**2 + 17*f + 1/140*f**5 + 1/84*f**4 - 2/21*f**3 + 0. Solve b(x) = 0 for x.
-2, -1, 2
Find z such that 0 - 21/5*z**3 - 3/5*z**4 - 27/5*z + 51/5*z**2 = 0.
-9, 0, 1
Let s(q) = 4*q - 10. Let b be s(3). Factor w**2 - b*w**3 - w**2 - 3*w**3 + 5*w**2.
-5*w**2*(w - 1)
Let s(r) = 7*r**3 - 105*r**2 + 210*r - 112. Let m(b) = 5*b**3 - 70*b**2 + 140*b - 75. Let q(h) = -8*m(h) + 5*s(h). Find d such that q(d) = 0.
1, 2, 4
Let i(a) = 10*a**2 - 80*a - 108. Let z(j) = -9*j**2 + 82*j + 106. Let g(u) = -5*i(u) - 6*z(u). Factor g(k).
4*(k - 24)*(k + 1)
Factor -6 + 26*i**2 - 1666*i - 1633*i + 3264*i.
(2*i - 3)*(13*i + 2)
Let l(f) be the third derivative of 11*f**2 - 11/840*f**7 + 0 + 0*f - 1/6*f**3 + 1/16*f**5 + 1/96*f**6 - 1/12*f**4 + 1/448*f**8. Suppose l(k) = 0. What is k?
-1, -1/3, 1, 2
Suppose 30 = 5*y - 5*x, -2*x + 5*x = -2*y - 8. Factor -y*a**2 + a**2 - 4*a**2 + 3*a**2 + 2.
-2*(a - 1)*(a + 1)
Suppose -5*p + 33 = 23. Find d, given that 14*d**4 - 6*d**3 + 3*d**p - 8*d + 8*d - 11*d**4 = 0.
0, 1
Let m(z) be the first derivative of z**3 - 9*z**2/2 + 6*z - 125. What is q in m(q) = 0?
1, 2
Factor 627*j - 3*j**4 - 432 + 165*j - 291*j**2 + 3288*j**3 - 3354*j**3.
-3*(j - 1)**2*(j + 12)**2
Let q(j) be the second derivative of -4*j**7/189 - j**6/27 + 3*j**5/10 + 11*j**4/54 - 23*j**3/27 - 2*j**2/3 + 12*j - 1. Suppose q(g) = 0. What is g?
-3, -1, -1/4, 1, 2
Let f = 11 - -5. Factor 4*s - 15*s**3 + f*s**2 + 28*s + 17*s**3.
2*s*(s + 4)**2
Let p = -41/6 - -83/12. Let q(x) be the third derivative of 0 + 0*x + 1/30*x**5 - 4*x**2 - 1/105*x**7 + p*x**4 - 1/60*x**6 + 0*x**3. Factor q(l).
-2*l*(l - 1)*(l + 1)**2
Let w(k) be the third derivative of k**7/840 + k**6/30 - k**5/240 - k**4/6 - 514*k**2. Factor w(y).
y*(y - 1)*(y + 1)*(y + 16)/4
Let g(i) be the first derivative of -52/35*i**5 + 27/7*i**2 - 22 - 1/7*i**6 - 36/7*i**4 - 36/7*i**3 + 0*i. Suppose g(v) = 0. Calculate v.
-3, 0, 1/3
Suppose 3*c + 0 = 9. Suppose 2*i + 2*k - 7 = k, -c*k + 9 = 0. Solve 0*o + 1/4*o**i - 1/4 = 0.
-1, 1
Let f be 5/(-9)*18/60*-8. Factor 4/3*z**4 - 2/3*z**5 + 2/3*z + 0*z**3 + 0 - f*z**2.
-2*z*(z - 1)**3*(z + 1)/3
Let p(o) be the first derivative of -o**3/5 - 96*o**2/5 - 372*o/5 - 205. Suppose p(u) = 0. Calculate u.
-62, -2
Let u be 2/14 + 2/(-84)*6. Factor u*b**2 + 1/8*b**3 + 0 + 1/4*b**4 + 1/8*b**5 + 0*b.
b**3*(b + 1)**2/8
Let b = -13101 + 91761/7. Solve b + 3/7*x**4 + 99/7*x**2 + 135/7*x + 29/7*x**3 = 0 for x.
-3, -2/3
Suppose -1011 + 8724*c**2 + 640*c + 50785*c**3 + 513 + 16415*c**5 - 7989*c**3 + 29068*c**4 + 514 - 42779*c**5 = 0. What is c?
-2/3, -1/13, 2
Let -2/9*h**2 + 0 - 58/3*h = 0. Calculate h.
-87, 0
Let k(d) be the second derivative of -3/2*d**3 - 21/4*d**2 + 27*d + 1/8*d**4 + 0. Suppose k(a) = 0. Calculate a.
-1, 7
Let u = -45 + 48. Suppose -3*p**4 - 12 - 3*p**2 + 0*p**4 + u*p**5 + 4*p**4 + 14*p**4 - 24*p + 21*p**3 = 0. What is p?
-2, -1, 1
Let i(d) be the first derivative of d**4 - 56*d**3/3 + 50*d**2 - 48*d - 80. Suppose i(s) = 0. Calculate s.
1, 12
Suppose 6 = 4*h + 4*u - 5*u, 0 = -h + 5*u - 8. Let b(a) be the first derivative of 3 - 1/9*a**3 - 1/3*a**h - 1/3*a. Suppose b(q) = 0. Calculate q.
-1
Let f(o) be the third derivative of -o**7/1365 - o**6/195 + 11*o**5/195 + o**4/39 - 7*o**3/13 - 3*o**2 - 11*o. Find i such that f(i) = 0.
-7, -1, 1, 3
Find f such that 31/4*f**2 + 1 - 17/8*f**3 - 11/2*f - 2*f**4 + 7/8*f**5 = 0.
-2, 2/7, 1, 2
Suppose -3/2*u**4 + 0*u + 0*u**2 - 6*u**3 + 0 = 0. Calculate u.
-4, 0
Let i(a) be the third derivative of 0*a**4 + 0 + 0*a + 1/504*a**8 + 1/45*a**6 + 6*a**2 + 0*a**3 + 4/315*a**7 + 0*a**5. Solve i(r) = 0.
-2, 0
