-4*w - 2*c = 40. Factor 1/10*p**3 + 2/5 + w*p - 3/10*p**2.
(p - 2)**2*(p + 1)/10
Let o be (-2*(1 + 1))/(-2). Suppose -2831*b**o - 34*b - 66 + 6 + 2829*b**2 = 0. What is b?
-15, -2
Factor 4*y**3 + 0*y**3 - 16178 + 15914 - 72*y**2 - 340*y.
4*(y - 22)*(y + 1)*(y + 3)
Find m such that -54*m**2 - 3/2*m**4 + 27*m**3 - 225/2 - 195*m = 0.
-1, 5, 15
Let n(s) = 18*s - 39. Let k be n(3). Suppose -2*f + 19 - k = 0. Factor 2/5*l**3 - 4/5 + 0*l**f - 6/5*l.
2*(l - 2)*(l + 1)**2/5
Let u = -2 - -4. Suppose -114 + 156 = 21*x. Solve -9 - 3*a**2 - u*a**x + 5*a + 19 = 0.
-1, 2
Suppose 25 = 5*y, 5*q + 23*y - 105 = 18*y. Suppose -m - 2 - 2 = 0, q = -j - 4*m. Factor 0 + 4/7*c**3 + 2/7*c**4 + j*c**2 + 0*c.
2*c**3*(c + 2)/7
Let l(c) be the first derivative of -c**6/14 - 9*c**5/7 - 27*c**4/7 + 952. Factor l(k).
-3*k**3*(k + 3)*(k + 12)/7
Suppose -4*h - 4*f = 324, -h - 5*f + 176 = -3*h. Let q = -79 - h. What is y in -y**3 - 80*y**q + 11*y + 25*y**5 - 14*y + 15*y + 44*y**2 = 0?
-2/5, 0, 1, 3
Find f such that 2*f**5 + 77*f**3 + 15358*f - 16222*f - 3*f**4 + 67*f**3 + 35*f**4 = 0.
-6, 0, 2
Let a(q) be the second derivative of -27*q**5/100 - 79*q**4/10 - 333*q**3/10 + 54*q**2 - 2006*q. Let a(x) = 0. Calculate x.
-15, -3, 4/9
Let h(g) be the second derivative of g**8/1008 + g**7/135 + g**6/135 - 63*g**2/2 - 2*g - 35. Let l(x) be the first derivative of h(x). Factor l(o).
o**3*(o + 4)*(3*o + 2)/9
Factor 1296 - 155*u - 270*u**2 - 1296 + 0*u**3 - 110*u - 5*u**3.
-5*u*(u + 1)*(u + 53)
Let y(h) be the third derivative of -h**5/300 + h**4/120 + h**3/5 - 3345*h**2. Factor y(l).
-(l - 3)*(l + 2)/5
Let p(u) be the second derivative of 1/90*u**4 + 32*u + 0 + 48/5*u**2 - 8/15*u**3. Suppose p(c) = 0. What is c?
12
Let w(v) = -v**3 - 11*v**2 + 42*v + 3. Let k be w(-14). Factor -k*q**3 - 12*q**2 + 4459*q - 4471*q + 0*q**2.
-3*q*(q + 2)**2
Let v(d) be the first derivative of -d**5/540 - d**4/72 - d**3/27 + d**2 + 100*d - 4. Let n(x) be the second derivative of v(x). Factor n(z).
-(z + 1)*(z + 2)/9
Suppose -3*v + 4*v - h + 7 = 0, -3*h = -5*v - 29. Let o be 524/(-660)*-3 + v/20. Let 16/11*g - 2/11*g**2 + o - 2/11*g**3 = 0. What is g?
-2, 3
Suppose -x + 2*k = 4*x - 20, 4*k + 28 = 4*x. Factor -66 - 16*s - s**2 + 73 + 0*s**x - 71.
-(s + 8)**2
Let v(f) = -4*f - 6. Let c(t) = 8*t + 12. Let k(p) = -3*c(p) - 7*v(p). Let b be k(-1). Determine m, given that -4*m + 0*m**2 - 3*m**b + 2*m + 17*m = 0.
0, 5
Let z(h) = h**3 - 3*h + 1. Let p(d) = 7*d**3 - d**2 - 15*d + 5. Let t(k) = -p(k) + 5*z(k). Let x be t(-1). What is v in 5 + 25/2*v + 5/2*v**x + 10*v**2 = 0?
-2, -1
Let h = -3270 + 3270. Let p(y) be the third derivative of h*y - 1/20*y**5 + 1/40*y**6 + 0*y**3 + 0*y**4 - 15*y**2 + 0. Suppose p(b) = 0. What is b?
0, 1
Factor 20*w**2 + w**2 - 13*w**2 - 4*w**2 - 7*w**2 - 867*w.
-3*w*(w + 289)
Let v be 10934/2343 + 5/6*-2. Determine r so that 0 - 117/2*r**v + 57/2*r**2 + 9/2*r + 27/2*r**4 + 12*r**5 = 0.
-3, -1/8, 0, 1
Let g = 71/52 + -8/13. Let f be ((-3050)/200 + (17 - 2))*(-5 - -2). Factor g*m**2 + 0*m - 3/4*m**3 + f*m**5 - 3/4*m**4 + 0.
3*m**2*(m - 1)**2*(m + 1)/4
Let p(q) be the third derivative of q**7/525 - q**6/6 + 25*q**5/6 + 9*q**2 - 21*q + 6. Solve p(u) = 0 for u.
0, 25
Let m(r) be the second derivative of 4*r**5/35 + 13*r**4/21 + 20*r**3/21 + 1300*r. Factor m(q).
4*q*(q + 2)*(4*q + 5)/7
Let w(u) = -2*u**3 - 98*u**2 + 1294*u - 4410. Let c(z) = 3*z**3 + 99*z**2 - 1292*z + 4410. Let v(l) = -4*c(l) - 5*w(l). Factor v(h).
-2*(h - 21)**2*(h - 5)
Let i(g) be the first derivative of 1/21*g**4 - 12*g + 1/70*g**5 + 15 + 0*g**2 + 0*g**3. Let l(f) be the first derivative of i(f). Factor l(p).
2*p**2*(p + 2)/7
Let k(r) be the second derivative of r**6/660 + r**5/110 - r**4/132 - r**3/11 + 98*r**2 + 16*r - 2. Let o(q) be the first derivative of k(q). Solve o(w) = 0.
-3, -1, 1
Factor -495*i**3 + 2*i**4 + 4*i**2 + 479*i**3 + 24*i + 2*i**4.
4*i*(i - 3)*(i - 2)*(i + 1)
What is v in -3*v**5 - 21*v**4 - 3381 + 975*v**3 - 213*v**3 - 5943*v - 788*v**2 - 982*v**2 - 23*v**4 + 11*v**4 = 0?
-23, -1, 7
Let t(l) be the second derivative of 2*l**7/147 + 32*l**6/105 - 36*l**5/35 + 1246*l. Factor t(o).
4*o**3*(o - 2)*(o + 18)/7
Let x be -57 + 24/(26520/63115). Factor x*f + 0*f**2 + 0 - 2/17*f**3.
-2*f*(f - 1)*(f + 1)/17
Let t(w) be the first derivative of w**6/120 - 11*w**5/40 + 9*w**4/4 + 23*w**3/3 + 186. Let u(r) be the third derivative of t(r). What is b in u(b) = 0?
2, 9
Let d be 8/36 + 0 + (-114)/27. Let p be ((-4)/(-3) + -1)/(d/(-192)). Factor 7*k + 4*k**2 - 2*k**3 + 3*k - 2*k - p.
-2*(k - 2)**2*(k + 2)
Factor -1/2*s**2 + 201/2 + 32*s.
-(s - 67)*(s + 3)/2
Let y be (184/(-12))/((-1)/(-3)). Let g = -40 - y. Factor -a**2 - 3*a**2 + 6*a**2 + 0*a**2 + 2*a**5 + 4*a - 2*a**4 - g*a**3.
2*a*(a - 2)*(a - 1)*(a + 1)**2
Suppose 5*m + 4*b = -12 - 0, 12 = -2*m - 4*b. Suppose 9*r + 153 - 189 = m. Solve 0*u + 18/7*u**2 + 0 - 3/7*u**r + 15/7*u**3 = 0 for u.
-1, 0, 6
Let m(v) = -v**3 + 24*v**2 - 21*v - 44. Let i be m(23). Factor 2*u**5 + 2*u**3 - 6*u**i + 7*u**3 - 5*u**5 + 0*u**2.
-3*u**2*(u - 1)**2*(u + 2)
Let m be (-1678)/168 + -20*(-26)/52. Let v(y) be the third derivative of -1/105*y**5 - 1/420*y**6 + 19*y**2 + 0 + 0*y**3 + 0*y - m*y**4. Factor v(a).
-2*a*(a + 1)**2/7
Let c = 67 + -65. Determine s so that -3 - 17 - c*s**4 - 59*s**2 - 24*s - 7*s**2 + 26*s**3 + 86*s = 0.
1, 10
Let h(a) be the first derivative of -a**5/12 - 35*a**4/4 - 735*a**3/2 + 7*a**2/2 + 146. Let t(g) be the second derivative of h(g). Factor t(r).
-5*(r + 21)**2
Solve 115*m**2 + 86*m**3 + 24 + 59*m - 145*m - 144*m**3 + 10*m**4 - 5*m**2 = 0 for m.
4/5, 1, 3
Let i be 0 - (-52)/39*6/4. Let 6 - 6*p + p**i + 2*p**2 + 3 - 6*p = 0. Calculate p.
1, 3
Let q(z) be the second derivative of -2/27*z**3 + 0*z**2 - 1/60*z**5 + 2/27*z**4 - 3*z + 4. Find v such that q(v) = 0.
0, 2/3, 2
Let t(p) be the first derivative of -3/5*p**3 - 15 + 17*p + 2/5*p**2 + 7/30*p**4. Let j(y) be the first derivative of t(y). Let j(l) = 0. Calculate l.
2/7, 1
Let h(m) be the second derivative of -2*m**6/135 + 422*m**5/45 - 44521*m**4/27 + 2*m + 267. Factor h(z).
-4*z**2*(z - 211)**2/9
Let p(q) = 34*q**4 + 8*q**3 - 14*q**2 - 28*q + 14. Let i(u) = -12*u**4 - 3*u**3 + 5*u**2 + 10*u - 5. Let z(l) = -14*i(l) - 5*p(l). Factor z(r).
-2*r**3*(r - 1)
Let m(v) = -3*v**3 + 63*v**2 - 303*v - 363. Let i(z) = 11924 + 2*z - 11924. Let k(w) = 3*i(w) + m(w). Factor k(c).
-3*(c - 11)**2*(c + 1)
Let a(q) be the second derivative of -q**8/3360 - 8*q**7/315 - 31*q**6/360 - 3*q**4/2 + 7*q + 2. Let z(l) be the third derivative of a(l). Factor z(d).
-2*d*(d + 1)*(d + 31)
Let y(w) = w**3 - w**2 + w - 1. Let n be y(1). Suppose n = -4*p + 16. Find t such that -6*t**3 - 4*t - 5*t**p - 21*t + 31*t**3 - 30 + 35*t**2 = 0.
-1, 1, 6
Let r be (38/(-14) + 5)/(6/21). Let k(p) = -4*p**2 + 31*p + 5. Let o(j) = -6*j**2 + 47*j + 8. Let z(m) = r*k(m) - 5*o(m). Factor z(i).
-i*(2*i - 13)
Let i(j) = 3*j - 15. Let o(z) = z + 2. Let b(y) = 5*i(y) - 20*o(y). Let m be b(-23). Factor f**4 + f**3 + 1/3*f**2 + 1/3*f**5 + 0*f + m.
f**2*(f + 1)**3/3
Let s(o) be the second derivative of 1/252*o**7 + 0*o**2 + 65*o + 0*o**5 + 0*o**3 + 1/30*o**6 + 0 - 4/9*o**4. Find a, given that s(a) = 0.
-4, 0, 2
Let w(r) be the second derivative of -r**6/60 - 9*r**5/10 + 13*r**4/8 + 37*r**3/6 + 2783*r. Factor w(y).
-y*(y - 2)*(y + 1)*(y + 37)/2
Let -928*y + 119/4*y**2 + 2523 - 1/4*y**3 = 0. Calculate y.
3, 58
Suppose -11*m + 335 = 280. Let g = 43 - -20. Factor -6*z - 66 + g + 2*z**2 - m*z**2.
-3*(z + 1)**2
Let l(v) = 16*v - 544. Let n be l(34). Let t be (0 - (-3)/(-15))*(n - 2). Let 2/5*q**4 + t - 4/5*q**2 + 0*q**3 + 0*q = 0. Calculate q.
-1, 1
Find q, given that 3*q**4 + 3/4*q**5 + 45/4*q + 219/2*q**2 - 48*q**3 - 297/2 = 0.
-11, -1, 2, 3
Let p be (-12)/(672/113) - (-105)/49. Solve -p*u**2 - 1/2*u - 1/2 = 0.
-2
Let r(f) be the first derivative of -2*f**5/35 + 9*f**4/14 + 54*f**3/7 + 135*f**2/7 + 802. Factor r(v).
-2*v*(v - 15)*(v + 3)**2/7
Let v = -40851 - -367664/9. Let j(u) be the third derivative of 5/72*u**4 - 47*u**2 - 1/72*u**6 - 1/18*u**5 + 0 + 0*u + v*u**3. Let j(y) = 0. What is y?
-2, -1, 1
Let f(x) be the second derivative of x**4/3 + 644*x**3/3 + 51842*x**2 - 3797*x. Factor f(h).
4*(h + 161)**2
Let r(k) be the first derivative of -k**6/18 + 19*k**4/12 - 10*