.
-2*(a - 31)**2*(a + 1)/15
Suppose 0 = 25*j - j - 1128. Let h be j/(-94) + 1 + 1. Let -6*p**3 - 9 + h*p + 27/2*p**2 = 0. Calculate p.
-3/4, 1, 2
Let z(a) be the second derivative of -a**5/130 + 7*a**3/13 - 20*a**2/13 - 1553*a. Determine m so that z(m) = 0.
-5, 1, 4
Let a = 80 - 6. Let d = a - 61. Factor -16 - 4*u + u**2 + u + 5 + d.
(u - 2)*(u - 1)
Suppose 0 = 141*i - 787*i + 1292. Let o(m) be the third derivative of 1/20*m**5 + 2*m**3 + 0*m + 1/2*m**4 + 0 + 23*m**i. Find y such that o(y) = 0.
-2
Let o(a) be the second derivative of 1 - 1/50*a**5 - 8*a + 1/30*a**4 + 3/5*a**2 + 1/3*a**3. Determine t so that o(t) = 0.
-1, 3
Let l(i) = 3*i**2 + 1641*i - 1647. Let g(q) = -6*q**2 - 3285*q + 3296. Let f(m) = 3*g(m) + 5*l(m). Let f(p) = 0. What is p?
-551, 1
Let q(u) be the first derivative of -u**3/18 - 637*u**2/12 - 106*u - 4951. Let q(x) = 0. What is x?
-636, -1
Factor 230*b**4 + 1882*b**3 + 10240*b + 8114*b**2 + 5760 + 4*b**5 - 1354*b**2 - 6*b**5 + 7*b**5 + 98*b**3.
5*(b + 2)**3*(b + 4)*(b + 36)
Factor 8/3*p + 5/3*p**2 + 0.
p*(5*p + 8)/3
Let k(y) = -9*y**3 - 4*y**2 + 29*y - 16. Let j(b) = -10*b**3 - 4*b**2 + 29*b - 15. Let o(c) = 8*j(c) - 9*k(c). Factor o(z).
(z - 3)*(z - 1)*(z + 8)
Let u(c) be the first derivative of 2*c**5/5 - 3*c**4/8 - 49*c**3/6 - 3*c**2 + 962. Suppose u(p) = 0. Calculate p.
-3, -1/4, 0, 4
Let z(y) be the third derivative of y**7/735 + 17*y**6/30 + 47*y**5/14 - y**4/21 - 940*y**3/21 + 15099*y**2. Determine d, given that z(d) = 0.
-235, -2, 1
Let v(l) = 2*l**2 - 13*l + 1. Let m(o) = 5170*o**2 - 1925*o + 150. Let t(q) = m(q) - 25*v(q). Let t(c) = 0. Calculate c.
5/32
Suppose -92*n + 15 = -79*n - 11. Let a(t) be the first derivative of 0*t + 1/2*t**3 + 1 + 3*t**n. Factor a(v).
3*v*(v + 4)/2
Let p = -5639 - -8505. Factor 376*d - 64 + 929*d + p*d**2 - 8342*d**2 - 121*d.
-4*(37*d - 4)**2
Suppose 15 = 5*i + 5. Let p = 10629 - 10626. What is a in 6/13*a**4 - 4/13*a**p + 6/13 - 12/13*a**i + 2/13*a + 2/13*a**5 = 0?
-3, -1, 1
Let q(u) be the third derivative of -9*u**2 - u - 19/60*u**6 + u**5 + 0 + 0*u**3 - 2/3*u**4 + 1/35*u**7. Let q(x) = 0. What is x?
0, 1/3, 2, 4
Factor -561660*j**2 - 460*j - 227 - 388 + 561661*j**2 + 154.
(j - 461)*(j + 1)
Suppose 4*i + 7*o - 4*o - 15 = 0, -12*o = -4*i - 60. Let c(r) be the second derivative of 2/5*r**3 + i - 9/5*r**2 + 1/10*r**4 + 11*r. Solve c(g) = 0 for g.
-3, 1
What is h in 28*h**3 - 120 - 2*h**4 + 95*h + 50*h**2 - 12*h**2 - 87*h - 120*h = 0?
-2, -1, 2, 15
Let v be ((-85)/238)/((-280)/13524). Determine w so that -7/2 - 35/4*w**3 - 93/4*w**2 + 3/4*w**4 - v*w = 0.
-1, -1/3, 14
Find p such that 9/8*p**2 - 54 - 321/4*p = 0.
-2/3, 72
Let m be ((-64243)/4)/((-22)/8). Let o = 5846 - m. Factor o*c**2 - 81/11*c**3 - 19/11*c + 27/11*c**4 + 2/11.
(c - 2)*(3*c - 1)**3/11
Suppose 0 = 3*r - 2*w - 181, -2 = -5*w + 3. Suppose f + r = 65. Factor -12*g + f*g**2 - g**5 - 138*g**3 - 8 - 2*g**2 + 145*g**3.
-(g - 2)**2*(g + 1)**2*(g + 2)
Let q = -129173/68 - -32510/17. Suppose -7/4*n**4 - 24*n - 35/2*n**2 + q*n**3 + 8 = 0. What is n?
-1, 2/7, 4
Let g(z) be the first derivative of 0*z + 4/3*z**3 + 1/2*z**4 - 1 + 0*z**2. Factor g(b).
2*b**2*(b + 2)
Let r be 0*(26 + 371*8/(-112)). Factor 4/3*a + r - 2/9*a**2 - 2/9*a**3.
-2*a*(a - 2)*(a + 3)/9
Let a(r) be the first derivative of -r**5 + 505*r**4/4 - 500*r**3/3 - 7455. Let a(y) = 0. Calculate y.
0, 1, 100
Suppose -36 - 15/2*u + 3/2*u**2 = 0. What is u?
-3, 8
Suppose 2*x - 2*w = 308, -280 = -5*x + 4*w + 489. Suppose -175*b**3 + 205*b**2 + 444*b**3 + 20 - x*b**3 - 181*b**3 - 160*b = 0. What is b?
2/13, 1, 2
Let y(s) = 2*s**3 + s + 2. Let a(f) = 2*f**3 - 12*f**2 + 56*f + 4. Let w(m) = a(m) - 2*y(m). Solve w(i) = 0 for i.
-9, 0, 3
Suppose -404 + 2098 = 14*q. Let i = q + -51. Factor 26*k + 2*k**2 + 266 - i*k - 24.
2*(k - 11)**2
Let h = 15852 - 15848. Let a(s) be the third derivative of 0*s + 7/150*s**5 - 18*s**2 - 7/15*s**3 + 0 - 1/300*s**6 + 1/60*s**h. Factor a(j).
-2*(j - 7)*(j - 1)*(j + 1)/5
Let j be ((-33)/(-99))/((-1)/(-69)). Factor 2*g**2 + 8*g**2 + 17*g**3 + 2*g**5 - j*g**3 + 9*g - 2*g**4 - 13*g.
2*g*(g - 1)**3*(g + 2)
Let i(v) be the third derivative of 29/30*v**5 + 0*v + 0*v**4 - 119*v**2 + 0*v**3 - 1/120*v**6 + 0. Factor i(p).
-p**2*(p - 58)
Let p(j) = j**3 + 38*j**2 + 313*j + 28. Let s be p(-26). Factor -8/5*k**s + 2/5*k**4 + 4/5*k**3 + 6/5 - 4/5*k.
2*(k - 1)**2*(k + 1)*(k + 3)/5
Let q be ((-12)/10*1)/((-66)/440). Let n be 2/q*(144 - 136). Factor -1/3 + 2/3*p - 1/3*p**n.
-(p - 1)**2/3
Suppose 5*y = 4*d - 27, -3 = d - 2*y + 4*y. Let 2*h**2 - 10*h - 1 + 7 + 2*h**d + 0*h**3 = 0. What is h?
-3, 1
Let o(x) = 41 - 52 + 17 + 9*x - 9*x**2. Let n(h) = 10*h**2 - 10*h - 7. Let q(r) = -6*n(r) - 7*o(r). Factor q(f).
3*f*(f - 1)
Let k(a) be the second derivative of -25/3*a**2 - 1/30*a**5 - 69*a - 11/18*a**4 + 0 - 35/9*a**3. Suppose k(c) = 0. What is c?
-5, -1
Let s(n) = 5*n + 4*n + 3*n - 8*n - 33. Let y be s(10). Factor p**5 + p**3 - 8*p**2 + 3*p**4 - 3*p**4 - 3*p - y*p**3.
p*(p - 3)*(p + 1)**3
Let q(j) = j**5 + 32*j**4 + 306*j**3 + 896*j**2 + 778*j + 3. Let r(m) = 2*m**3 + 2*m - 1. Let d(o) = -4*q(o) - 12*r(o). What is x in d(x) = 0?
-14, -2, 0
Solve 0 + 9/4*l**2 + 0*l + 3/4*l**3 = 0 for l.
-3, 0
Suppose 5*j + 2*o - 22 = 6*o, -7 = j + 3*o. Let i(q) be the second derivative of 0 + 2*q - 1/190*q**5 + 0*q**j + 2/57*q**3 + 1/114*q**4. Factor i(l).
-2*l*(l - 2)*(l + 1)/19
Let z(o) = 3*o**3 - 11*o**2 - 15*o - 10. Let v be z(8). Let r = v - 702. Factor 1/8*g**4 + r*g + 0 - 3/8*g**3 + 1/4*g**2.
g**2*(g - 2)*(g - 1)/8
Factor 332/7*r - 334/7 + 2/7*r**2.
2*(r - 1)*(r + 167)/7
Factor -62/3*h + 6*h**2 + 44/3.
2*(h - 1)*(9*h - 22)/3
Let h(k) = 110*k**3 + 208*k**2 - 29*k - 50. Let i(n) = -111*n**3 - 210*n**2 + 30*n + 60. Let b(r) = 6*h(r) + 5*i(r). Factor b(x).
3*x*(x + 2)*(35*x - 4)
Let x(w) be the second derivative of w**5/50 - 67*w**4/10 - 202*w**3/15 + 2523*w. Factor x(z).
2*z*(z - 202)*(z + 1)/5
Let x be (1488/7068)/(7/133). Let -2/3*k - 2*k**x + 5/6*k**5 - 1/6*k**3 + 2*k**2 + 0 = 0. Calculate k.
-1, 0, 2/5, 1, 2
Factor 864 + 1/4*o**5 + 33/4*o**4 + 126*o**2 - 1080*o + 163/2*o**3.
(o - 2)*(o - 1)*(o + 12)**3/4
Let d = 36344/272805 + 2/18187. Factor -12 + 34/5*i - d*i**3 - 8/15*i**2.
-2*(i - 3)**2*(i + 10)/15
Suppose -2*t = -50 + 54. Let n be (39/13)/((-3)/t). Let 11/2*c**n + 12*c - 18 + 1/2*c**3 = 0. Calculate c.
-6, 1
Let k(p) be the first derivative of 6*p**5/35 + 3*p**4/2 + 32*p**3/7 + 36*p**2/7 + 6849. Determine q, given that k(q) = 0.
-3, -2, 0
Suppose 3*k = 3*i - 45, 0*i = -3*i - 3*k + 21. Let h(g) be the first derivative of 2/9*g**3 + i - 2/15*g**5 + 1/3*g**4 - 2/3*g**2 + 0*g. Factor h(p).
-2*p*(p - 2)*(p - 1)*(p + 1)/3
Let w = -2653/3 - -265303/300. Let o(j) be the second derivative of 12*j + 0 + 32/5*j**2 + 1/5*j**4 - 8/5*j**3 - w*j**5. Suppose o(i) = 0. What is i?
4
Let f(b) = 4826*b**4 + 4018*b**3 - 10344*b**2 + 1600*b - 52. Let l(y) = 4*y**4 + 2*y**2 + 2. Let h(t) = -f(t) + 6*l(t). What is g in h(g) = 0?
-2, 4/49, 1
Let m(l) be the first derivative of 2*l**2 + 183 - 2/15*l**3 - 42/5*l. Factor m(f).
-2*(f - 7)*(f - 3)/5
Let f(u) = 147*u**2 + 528*u - 1076. Let q(l) = 55*l**2 + 176*l - 359. Let d(g) = -3*f(g) + 8*q(g). Let d(h) = 0. What is h?
-178, 2
Suppose -75*t + 14*t = 56*t - 3510. Let g(l) be the second derivative of 1/2*l**2 + 1/48*l**4 + t*l + 0 + 1/6*l**3. Factor g(q).
(q + 2)**2/4
Let n = -33 - -65. Factor 21 - n - 24 + 5*k**2 - 16*k - 14*k.
5*(k - 7)*(k + 1)
Let b(g) be the second derivative of -g**7/84 - 19*g**6/24 - 299*g**5/20 - 793*g**4/24 + 23*g**3/12 + 529*g**2/8 - 24*g - 59. Determine f so that b(f) = 0.
-23, -1, 1/2
Let i(a) be the third derivative of -a**6/40 + 3*a**5/10 + 55*a**4/8 - 126*a**3 + 1855*a**2. Suppose i(o) = 0. Calculate o.
-7, 4, 9
Suppose -19*k + 20 = -14*k. Suppose -3*v = -2*v + k, 0 = -2*h + 3*v + 28. Let -7*u - 8*u**2 - 9*u - 4*u**4 + 12 + h*u**3 + 6*u**3 + 2*u**3 = 0. Calculate u.
-1, 1, 3
Let o = 29 - 28. Let b be (4 - (5 - (0 + 3)))*o. Suppose -14*u**3 + b*u**3 + 15*u**2 + 7*u**3 - 5*u**2 + 20*u - 40 = 0. Calculate u.
-2, 2
Let t be (-9)/(-4)*(-24)/(-18). Let x(a) be the first derivative of 1/9*a**t - 1 + 4/3*a + 2/3*a**2. Factor x(j).
(j + 2)**2/3
Let g(c) = -4*c**2 - 38*c + 12. Let n(y) = -6*y**2 - 78*y + 24. Let z = -442 - -436. Le