 y**2 - 33 - 237*y**3 + 1 + 236*y**3 = 0. What is y?
-8, 2
Let x(a) = -3*a**5 - 6*a**4 - a**3 + 2*a. Suppose 11*r = 9*r + 48. Let p be 8/28 + r/14. Let h(u) = u**3 + u. Let t(q) = p*h(q) - x(q). Solve t(v) = 0 for v.
-1, 0
Find r such that -2560 + 860*r**3 + 25*r**5 - 2920*r**2 - 110*r**4 + 33*r**5 - 53*r**5 + 4480*r = 0.
2, 8
Let x(s) = -44*s**4 - 304*s**3 + 5448*s**2 + 13128*s - 18300. Let t(u) = 2*u**4 - u + 2. Let i(l) = -24*t(l) - x(l). Suppose i(q) = 0. What is q?
-3, 1, 39
Let l = 15 + -15. Suppose i + 4*h - 8 = 0, l = -4*i + 5*h + 5 + 6. Factor a**4 + 12*a + a**2 + 2*a**3 - i*a - 8*a.
a**2*(a + 1)**2
Let x = -290 + 293. Factor 33*d**x + 26*d**2 - 85 + 38*d - 31*d**3 + 19.
2*(d - 1)*(d + 3)*(d + 11)
Let p(n) = -2*n**4 + 134*n**3 + 124*n**2. Let h(z) = -5*z**4 + 267*z**3 + 246*z**2. Let t(k) = -6*h(k) + 13*p(k). Determine d, given that t(d) = 0.
-34, -1, 0
Suppose 12 - 444 = -4*p. Factor -4*l**3 + 8*l**3 + l**3 + 4*l**4 - 26*l**3 + 108*l**2 - p*l - 15*l**3.
4*l*(l - 3)**3
Let y(i) be the third derivative of 3/32*i**6 + 0 + 0*i + 190*i**2 + i**3 - 29/24*i**4 + 21/40*i**5 - 5/168*i**7. Determine s, given that y(s) = 0.
-2, 2/5, 3
What is a in -1417928/3 - 1/6*a**2 - 1684/3*a = 0?
-1684
Determine l so that -3805*l + 649800*l**2 + 1525*l - 2 + 4 = 0.
1/570
Suppose -27*c + 20 = -22*c. Suppose -8*u = -c*u - 8. Suppose -4*p**3 - 92*p**2 + 92*p**u - 4*p**4 = 0. Calculate p.
-1, 0
Let k(l) be the second derivative of l**5/360 - l**4/72 - 5*l**3/12 + 3*l**2/2 - 224*l. Let g(s) be the first derivative of k(s). Let g(i) = 0. What is i?
-3, 5
Let q(h) = 9972*h**2 + 6714*h + 168. Let c(r) = -587*r**2 - 395*r - 10. Let f(i) = -69*c(i) - 4*q(i). Factor f(z).
3*(5*z + 3)*(41*z + 2)
Let l(y) = 36*y**4 + 819*y**3 - 402*y**2 + 102*y - 18. Let p(v) = -v**4 - 17*v**2 - v + 2. Let j(z) = l(z) + 9*p(z). Factor j(x).
3*x*(x + 31)*(3*x - 1)**2
Suppose 10*d + 2*d = 36. Suppose 4*i + 11 = -t, -2*t = -d*i + 7*i + 6. Solve -3*a**3 + t*a**3 + 5*a**2 - 10*a**3 + 30*a + 3*a**3 = 0.
-2, 0, 3
Let l(k) = k + 19. Let a be l(-16). Suppose 0 = 4*j - 4*x - 4, -3*j + 4*x + 4 = a. Solve -11*s**j - 5*s**4 - 5*s**2 + 8*s**3 - 7*s**3 = 0.
-1, 0
Suppose -854*u**2 - 303*u**2 - 80656*u**3 + 621*u**2 - 4*u - 600*u**2 = 0. Calculate u.
-1/142, 0
Let a(v) be the first derivative of -v**3/12 - 193*v**2/4 - 37249*v/4 - 931. Solve a(d) = 0.
-193
Let k(a) be the second derivative of 153*a - 1/20*a**5 + 0 + 2*a**4 + 17/2*a**3 + 13*a**2. Determine b, given that k(b) = 0.
-1, 26
Let v(r) be the third derivative of 169*r**8/336 - 351*r**7/35 + 749*r**6/20 - 859*r**5/15 + 323*r**4/8 - 15*r**3 + 2*r**2 + 261*r. Solve v(j) = 0 for j.
3/13, 1, 10
Let i be 24/(-420)*155/(-31). Factor -2/7*c**2 + 0*c + i.
-2*(c - 1)*(c + 1)/7
Let l(t) = -t**3 - 7*t**2 + 12*t + 26. Let g be l(-8). Let x(i) = 2*i**2 - 27*i - 26. Let k(u) = u**2. Let f(b) = g*k(b) + 2*x(b). What is n in f(n) = 0?
-26, -1
Let q(w) be the second derivative of -w**6/150 + w**5/25 + w**4/15 - 8*w**3/15 - 3*w - 1384. Determine v so that q(v) = 0.
-2, 0, 2, 4
Let j be 24/10 - ((-42)/(-30) + -1). Let d = j - -1. Factor 13 + d*w**2 - w**2 - 5 + 6*w + 2*w.
2*(w + 2)**2
Let w(h) be the second derivative of -h**5/10 + 15*h**4/14 - 2*h**3/3 - 24*h**2/7 - 4954*h - 1. What is j in w(j) = 0?
-4/7, 1, 6
Let -178/7*v**2 + 2/7*v**3 + 0 - 52*v = 0. Calculate v.
-2, 0, 91
Suppose 11*d = -27*d + 10*d + 168. Let o(m) be the second derivative of 18*m + 1/80*m**d - 3/16*m**2 + 3/80*m**5 + 0*m**4 + 0 - 1/8*m**3. Factor o(r).
3*(r - 1)*(r + 1)**3/8
Let i(h) be the first derivative of -49*h**6/30 + 97*h**5/15 - 47*h**4/6 - 2*h**3/3 - 78*h**2 - 129. Let j(m) be the second derivative of i(m). Factor j(k).
-4*(k - 1)**2*(49*k + 1)
Factor -112*y**3 - 16 + 575*y**2 + 99*y - 791*y**2 + 349*y + 55*y**4.
(y - 2)**2*(y + 2)*(55*y - 2)
Let z(a) be the first derivative of 3/32*a**4 + 14 + 0*a**2 + 15/8*a**3 + 0*a. Solve z(n) = 0.
-15, 0
Let l be 24 - (463/21 - (-71)/(-1491)). Factor -16 + 92/3*f - 4/3*f**3 - 40/3*f**l.
-4*(f - 1)**2*(f + 12)/3
Let a = -59 + 113. Let g = a - 50. Factor 4*d**3 + 109 - g*d - 109 + 0*d.
4*d*(d - 1)*(d + 1)
Let l(h) be the first derivative of -8/15*h**3 - 19/5*h**2 + 1/10*h**4 - 10 - 28/5*h. Factor l(c).
2*(c - 7)*(c + 1)*(c + 2)/5
Suppose -439 + 228*s - 4*s**2 - 457 + 248 = 0. Calculate s.
3, 54
Suppose -1/3*z**2 - 96*z - 572/3 = 0. What is z?
-286, -2
Let r(o) be the second derivative of -147*o**5/100 - 42*o**4 - 4797*o**3/10 - 13689*o**2/5 - 378*o - 11. Let r(d) = 0. What is d?
-6, -39/7
Let s(j) be the second derivative of -3/100*j**5 - 4 + 3/10*j**3 - 1/10*j**4 - 5*j + 0*j**2. Solve s(u) = 0.
-3, 0, 1
Let k be (-100984)/(-416)*(-4)/9*1. Let g = -107 - k. Solve 2/9*r**3 - 16/9 + 2/9*r**5 + 20/9*r**2 - 8/9*r - g*r**4 = 0 for r.
-1, 2
Determine z so that -96/7 - 2/7*z**3 + 10*z + 4*z**2 = 0.
-3, 1, 16
Suppose -213*k = -92*k. Let x(g) be the second derivative of -7/48*g**3 - 33*g + 1/96*g**4 + k + 3/8*g**2. Factor x(p).
(p - 6)*(p - 1)/8
Suppose 4 = -2*u + 10. Suppose -2*n - 2 = u*g, g - 4*n = 19 - 1. Determine s, given that 0*s - 4/5*s**g + 4/5 = 0.
-1, 1
Let z(b) be the second derivative of -b**6/75 - 32*b**5/75 - 3*b**4/2 - 38*b**3/45 - 1146*b. What is f in z(f) = 0?
-19, -2, -1/3, 0
Suppose -3/2*i**2 + 18 + 6*i = 0. Calculate i.
-2, 6
Let p(w) be the second derivative of -w**6/120 - w**5/10 - 5*w**4/24 + 148*w**2 - 6*w - 17. Let s(i) be the first derivative of p(i). Factor s(h).
-h*(h + 1)*(h + 5)
Let d(k) be the second derivative of k**5/20 - 2*k**4 - 306*k**3 - 9720*k**2 + 10899*k. Suppose d(q) = 0. Calculate q.
-18, 60
Let z = 33516 - 33516. Let w(y) be the first derivative of y - 47 - y**2 + z*y**3 - 1/5*y**5 + 1/2*y**4. Factor w(d).
-(d - 1)**3*(d + 1)
Let c(g) be the first derivative of -180/7*g**2 - 648/7*g - 50/21*g**3 - 43. Solve c(f) = 0 for f.
-18/5
Let q(j) be the second derivative of j**4/3 - 188*j**3/3 - 932*j - 3. Solve q(c) = 0.
0, 94
Let x(q) be the third derivative of 0*q + 39*q**2 - 5/8*q**4 - 1/42*q**7 + 5/3*q**3 - 1/12*q**5 + 0 + 1/8*q**6. Let x(s) = 0. Calculate s.
-1, 1, 2
Let f be ((-18)/(-1080))/(1/6). Let x(i) be the second derivative of -i**3 - i + 0 + 0*i**2 - f*i**5 - 2/3*i**4. Determine r, given that x(r) = 0.
-3, -1, 0
Let v be (-24)/270*-5 - (5 - 84/18). Factor 0 - v*n**2 - 1/9*n**3 + 2/9*n.
-n*(n - 1)*(n + 2)/9
Suppose 7*l + 48 = 13. Let q(w) = -w**2 + 91*w - 1854. Let i(p) = p**2 - 92*p + 1855. Let f(s) = l*i(s) - 6*q(s). Let f(u) = 0. Calculate u.
43
Let k(w) be the first derivative of -w**6/3 + 38*w**5/5 - 55*w**4/2 - 50*w**3 + 763. Find o such that k(o) = 0.
-1, 0, 5, 15
Let i be 4 + (4 - 4)/4. Let x = 5239/1914 - 45/638. Suppose -2/9*k**i - x*k**2 + 16/9*k + 0 + 4/3*k**3 = 0. Calculate k.
0, 2
Let q(k) be the second derivative of k**3/3 - 5*k**2/2 + 5*k. Let s be q(4). Factor 7*l**3 - 5*l + 0*l**3 + l**3 - s*l**3.
5*l*(l - 1)*(l + 1)
Let d(s) be the third derivative of 19/16*s**4 - 44*s**2 + 0*s**3 - 1 - 1/80*s**5 + 0*s. Factor d(u).
-3*u*(u - 38)/4
Suppose 28*b - 14*b - 3 = -3. Let m(j) be the first derivative of b*j - 23 - 2/27*j**3 - 2/9*j**2. Solve m(r) = 0 for r.
-2, 0
What is u in -u**4 + 250 + 27*u**2 + 37*u**3 + 51*u**2 - 217 - 33 = 0?
-2, 0, 39
Determine l, given that -24*l + 15290*l**2 + 48*l**3 - 78 - 3*l**4 + 27*l**3 - 51*l - 15209*l**2 = 0.
-1, 1, 26
Let f(x) be the second derivative of -x**5/12 + 445*x**4/18 + 2705*x**3/18 + 905*x**2/3 + 1330*x. Factor f(i).
-5*(i - 181)*(i + 1)*(i + 2)/3
Let f be (177/(-118))/((-9)/8). Find s such that -f*s + 4/3 + 1/3*s**2 = 0.
2
Let d(b) be the third derivative of b**7/735 - b**6/21 + 13*b**5/70 + 107*b**4/21 - 64*b**3/3 + 4*b**2 - 186. Let d(j) = 0. What is j?
-4, 1, 7, 16
Let z be ((-6)/(-4))/((-9)/10*(-950)/1140). What is o in -1 - 5/3*o**z - 7/3*o - 1/3*o**3 = 0?
-3, -1
Let f be ((-8)/14)/2 - (-23092)/1932. Find p, given that 15*p**4 - 10/3*p**2 - f - 70/3*p**3 - 5/3*p**5 + 25*p = 0.
-1, 1, 7
Let s(l) be the first derivative of l**4/6 - l**3 - 10*l**2 - 151*l + 59. Let r(g) be the first derivative of s(g). Factor r(p).
2*(p - 5)*(p + 2)
Solve 91/2 - 1/6*s**2 + 44/3*s = 0.
-3, 91
Factor -78/11*f + 2/11*f**2 + 148/11.
2*(f - 37)*(f - 2)/11
Let j(d) be the second derivative of -d**8/4480 + d**6/240 - 65*d**3/2 + 2*d - 16. Let f(p) be the second der