74*q**3/9 + 7*q**2 - 2*q + 7. Factor r(x).
(x - 17)*(x + 44)/3
Let p(g) be the second derivative of -g**5/40 - 53*g**4/6 + 9*g + 54. Factor p(r).
-r**2*(r + 212)/2
Factor -1/4*n**2 - 103041 - 321*n.
-(n + 642)**2/4
Suppose -2*p + 15 = -23. Suppose 4*u + 7 - p = 0. Factor 6 - u*w - 8 + 4 + 0 + w**2.
(w - 2)*(w - 1)
Let r(m) be the second derivative of 8/3*m**3 - 1/3*m**4 + 69*m + 0 + 0*m**2. Factor r(p).
-4*p*(p - 4)
Let y(s) be the second derivative of -s**7/630 + s**6/90 - s**5/45 - 225*s**2/2 + 116*s. Let m(h) be the first derivative of y(h). Factor m(c).
-c**2*(c - 2)**2/3
Let y(s) = s**3 + s**2 - 12*s + 2. Let a be y(3). Let p(u) be the first derivative of 3*u**3 - 55 + 33 + a*u**3 - 40*u + 25*u**2 - u**5 - 5*u**4. Factor p(t).
-5*(t - 1)**2*(t + 2)*(t + 4)
Let r(q) be the first derivative of q**4/16 - 97*q**3/12 + 2655*q**2/8 - 14175*q/4 - 1603. Factor r(p).
(p - 45)**2*(p - 7)/4
Let x(a) be the third derivative of -22*a**7/315 + 353*a**6/45 - 12668*a**5/45 + 6980*a**4/3 - 1600*a**3 - 909*a**2 - 2*a. Solve x(i) = 0 for i.
2/11, 4, 30
Let d(k) be the first derivative of 0*k - k**3 + 15/4*k**4 + 0*k**2 + 36. Let d(t) = 0. What is t?
0, 1/5
Let g(n) be the third derivative of 1/210*n**7 + 72*n**2 - 1/60*n**5 + 0 + 0*n**3 - 1/6*n**4 - n + 1/30*n**6. Factor g(z).
z*(z - 1)*(z + 1)*(z + 4)
Let l(k) be the first derivative of k**3/2 + 927*k**2/4 - 933*k - 376. Factor l(a).
3*(a - 2)*(a + 311)/2
Determine f so that 17/2 + 3/10*f**4 - 19/5*f**3 + 91/5*f - 116/5*f**2 = 0.
-5, -1/3, 1, 17
Let s(v) be the second derivative of -166*v - 11/24*v**4 + 2/3*v**3 - 3/8*v**5 + 0 + v**2. Factor s(x).
-(x + 1)*(3*x - 2)*(5*x + 2)/2
Let n(o) be the second derivative of -o**6/420 + 17*o**5/140 + 8*o**3/3 - 9*o**2/2 + 10*o - 6. Let c(f) be the second derivative of n(f). Factor c(r).
-6*r*(r - 17)/7
Factor -13/3*s - 10/9 - 17/9*s**2.
-(s + 2)*(17*s + 5)/9
Let h = -3736 - -3738. Let x(r) be the second derivative of 4*r - 1/6*r**3 + 0 + 0*r**h - 1/10*r**5 - 1/4*r**4. Suppose x(a) = 0. What is a?
-1, -1/2, 0
Suppose 110 = -3*s - 286. Let t = -64 - s. Let 2*q**3 - t*q**2 - 16*q**4 + 70*q**3 + 9*q**4 - 13*q**4 + 16 = 0. What is q?
-2/5, 1, 2
Let f(d) be the third derivative of d**7/735 + d**6/70 - 3*d**5/10 - 89*d**4/21 - 96*d**3/7 + 3300*d**2. Solve f(c) = 0 for c.
-9, -4, -1, 8
Let w = 41 - 31. Suppose -8 - 2*b - 3*b + 19*b + 2*b + 2*b**3 - w*b**2 = 0. What is b?
1, 2
Let b(t) be the third derivative of -t**7/630 - t**6/30 - t**5/18 + 25*t**4/6 + 875*t**3/18 - t**2 - 419. Let b(i) = 0. What is i?
-7, -5, 5
Find i such that -12/5*i**3 + 8 - 2/5*i**2 + 64/5*i = 0.
-2, -2/3, 5/2
Let x = -23 - -37. Let m(a) be the third derivative of 0 - 1/18*a**3 - 1/360*a**5 + 0*a - 1/48*a**4 + x*a**2. Factor m(p).
-(p + 1)*(p + 2)/6
Let j = -104833/28 - -14995/4. Solve 3/7*k**2 + 30/7 + j*k = 0.
-10, -1
Solve -20/3*s**2 + 104/3 - 83/3*s - 1/3*s**3 = 0.
-13, -8, 1
Suppose -335*g - 3*g**3 + 773324 - 315*g**2 - 259*g - 770852 = 0. What is g?
-103, -4, 2
Suppose 5*f - 32 = 6*f. Let h = 34 + f. Solve 0*u**2 - 1/2*u**4 + 0 - h*u + 3/2*u**3 = 0.
-1, 0, 2
Suppose -579 + 2*k**4 + 528 - 33*k**2 - 22*k**3 - 59*k**2 - 122*k - 3*k**4 = 0. Calculate k.
-17, -3, -1
Let p be (-534)/(-14) - ((-6)/10)/((-37)/(-185)). Factor -3*y**2 + p*y + 12.
-3*(y - 14)*(7*y + 2)/7
Suppose -7*g + 3*g = -8. Let z = -797548 + 3987744/5. Let -6/5*u**3 + 6/5*u - 2/5*u**g + z - 2/5*u**4 = 0. What is u?
-2, -1, 1
Let y(r) = 9*r**4 - 435*r**3 - 2220*r**2 - 1065*r + 3711. Let q(d) = -d**4 + 62*d**3 + 317*d**2 + 152*d - 530. Let x(b) = 15*q(b) + 2*y(b). Solve x(w) = 0.
-11, -8, -2, 1
Let f(w) be the first derivative of 31 + 6/35*w**5 + 12/7*w**2 - 1/7*w**4 - 8/7*w - 6/7*w**3. Find o such that f(o) = 0.
-2, 2/3, 1
Let w be ((-3)/6*(-1)/(-3))/(85 - (-14336)/(-168)). Solve -5/2*r + 3/2 + w*r**3 + 1/2*r**2 = 0 for r.
-3, 1
Let s(w) be the third derivative of 5/6*w**3 + 0*w - 1/16*w**5 + 0*w**4 + 0 + 1/96*w**6 + 60*w**2. Factor s(v).
5*(v - 2)**2*(v + 1)/4
Let t(x) be the third derivative of x**8/672 - x**7/105 + 2*x**5/15 - x**4/3 - 476*x**2. What is l in t(l) = 0?
-2, 0, 2
Let n(t) be the third derivative of -t**8/30240 - t**7/4536 + t**6/405 - 11*t**5/5 + 31*t**2 + t. Let y(z) be the third derivative of n(z). Factor y(g).
-2*(g - 1)*(3*g + 8)/9
Let r(h) = h**3 - 43*h**2 + 82*h - 6. Let g(k) = 2*k**3 - 86*k**2 + 164*k - 11. Let y(l) = 6*g(l) - 11*r(l). Solve y(b) = 0.
0, 2, 41
Suppose -3*d = 3*c, 5*c - 8 = d + 4. Suppose -20*s + c = 2*a - 21*s, 6 = 2*a + s. Find h, given that 1/3*h**a + 0 - 1/3*h = 0.
0, 1
What is v in 2/3*v**2 - 632/3 + 210*v = 0?
-316, 1
Let b(u) be the third derivative of u**6/120 - 11*u**5/20 - 35*u**4/12 + 2*u**2 + 622*u. Factor b(n).
n*(n - 35)*(n + 2)
Let b(t) = 15 - 1 - 10*t + 8*t**2 - 3*t**2 - 4*t**2. Let m be b(9). Factor -50*n**5 + 2*n**2 - 18*n**3 + 63*n**5 - 28*n**5 + 54*n**4 - 39*n**m.
-2*n**2*(3*n - 1)**3
Let i(k) = 7*k**2 + 34*k - 2. Let o(t) = -15*t**2 - 70*t + 5. Let b be 4*(-2 + 3)/(12/15). Let y(d) = b*i(d) + 2*o(d). Factor y(f).
5*f*(f + 6)
Let i = 5903 + -5898. Let b(j) = -j**3 - 11*j**2 - j - 7. Let o be b(-11). Solve 2/15*x**i - 2/15*x + 0*x**3 + 4/15*x**o - 4/15*x**2 + 0 = 0 for x.
-1, 0, 1
Factor -4*n**2 + 1049*n + 1692 - 673*n - 360*n - 574*n + 2*n**2.
-2*(n - 3)*(n + 282)
Suppose 89*a - 43 = 224. Let q be (60 - 52) + (-18)/a. Suppose -1/2*z**3 + 4 + q*z - z**2 = 0. Calculate z.
-2, 2
What is a in -a**2 - 289*a + 300 - 202 - 186*a + 84*a + 294 = 0?
-392, 1
Find s, given that 57*s**3 - 114 - 170*s + 3/2*s**2 - 1/2*s**4 = 0.
-1, 2, 114
Let t(i) be the second derivative of -i**5 + 7*i**4/6 + i**3 + 1786*i. Solve t(s) = 0.
-3/10, 0, 1
Suppose -4*g + 56 = 76, 2*i - 2*g - 18 = 0. Let j(q) be the first derivative of 5 + 3/20*q**i - 9/10*q**2 + 54/5*q - 4/5*q**3. Factor j(b).
3*(b - 3)**2*(b + 2)/5
Solve 3926/3*i + 3853369/3 + 1/3*i**2 = 0.
-1963
Let k = 179 + -177. Factor -12*h**3 + 10*h**2 + 72 - 6*h - 6*h**3 - 56*h**2 - k*h**4.
-2*(h - 1)*(h + 3)**2*(h + 4)
Let d(b) be the second derivative of b**4/12 + 71*b**3/2 + 211*b**2 + 8676*b. Suppose d(v) = 0. What is v?
-211, -2
Let b(k) = 10*k**2 + 6*k - 38. Suppose 32*z + 264 = 26*z. Let i(j) = -j**2 + j + 2. Let c(a) = z*i(a) - 4*b(a). What is l in c(l) = 0?
1, 16
Let f be (-310)/(-132) + -1 + 1336/(-1002). Let h(o) be the second derivative of 4*o + 1/11*o**3 + 0 + 2/11*o**2 + f*o**4. Factor h(v).
2*(v + 1)*(v + 2)/11
Suppose -118*r - 146 = -146. Let b(j) be the third derivative of 18*j**2 + 1/600*j**6 - 1/10*j**3 + r*j + 0 - 1/300*j**5 - 1/24*j**4. Factor b(t).
(t - 3)*(t + 1)**2/5
Let p be (-10 - (-23 - -3)) + -10 + 0. Let k(r) be the first derivative of -2/5*r**5 - 3*r**2 + 10/3*r**3 - 14 - 1/2*r**4 + p*r. Let k(v) = 0. What is v?
-3, 0, 1
Suppose 2*c = -4*f + 6, -3*c + 18 = 12*f - 15*f. Suppose 12*n = -60*n - c*n. Factor -2/7*u**2 + n + 1/7*u**3 + 1/7*u**4 + 0*u.
u**2*(u - 1)*(u + 2)/7
Let d(f) be the first derivative of 27/4*f**2 + 3*f + 7/2*f**3 + 179. Factor d(b).
3*(b + 1)*(7*b + 2)/2
Let j(x) = 58*x**3 + 5 + 10*x**2 - 38*x**3 - 20*x - 9*x**4 + 3. Let d(z) = -2*z**4 - 1. Let p(w) = -3*d(w) - j(w). Suppose p(c) = 0. What is c?
-1, 1/3, 1
Let k(l) be the second derivative of -23/10*l**3 - l + 4761/20*l**2 + 1/120*l**4 - 15. Factor k(x).
(x - 69)**2/10
Factor 1/5*l**3 + 36/5 + 38/5*l**2 + 73/5*l.
(l + 1)**2*(l + 36)/5
Let l be (-34)/(-51) + 82/(-6). Let x be 11/1 + l/13. Suppose 4*v**4 + 3*v + 0*v**2 - 4*v**3 + 14 - x + 2*v**5 - v - 8*v**2 = 0. Calculate v.
-2, -1, 1
Suppose 0 - 2/7*o**2 + 62*o = 0. Calculate o.
0, 217
Suppose 0 = 25*d + 931 - 981. Let a be 24/14 - 4/(-14). Determine y, given that -d*y**4 - y**4 + 34*y**3 - 6*y**a - 25*y**3 = 0.
0, 1, 2
Let n(m) = m**3 - 9*m**2 + 16*m - 11. Let v be n(7). Factor -t**3 + 2*t**3 + 4*t**v - 128 + 5*t**3 - 6*t**3 - 48*t**2 + 144*t.
4*(t - 8)*(t - 2)**2
Let d = -276 + 278. Solve 14*h + h + 26 + 5*h**d - 10*h**2 - 36 = 0.
1, 2
Let s(w) = w**3 + 19*w**2 - 23*w - 10. Let o be s(-20). Let c be 5*((-6)/o)/((-1)/5). Factor g - 410*g**5 - 4*g**4 + 412*g**5 + 4*g**2 - c*g.
2*g*(g - 1)**3*(g + 1)
Suppose -11*t = -1770 + 11406. Let y = -9634/11 - t. Find g such that 16/11 + 36/11*g**2 + y*g**4 - 40/11*g - 14/11*g**3 = 0.
1, 2
Suppose -5*r**5 - 580*r**2 + 61*r**3 - 155*r**4 - 700*r + 9*r**5 + 7*r**5 +