(q) = 0.
-14, -2, -1
Let n(z) be the first derivative of z**4/14 - 4*z**3/21 - 3*z**2/7 - 2904. Determine q, given that n(q) = 0.
-1, 0, 3
Let t(i) be the first derivative of i**3/9 - 51*i**2/2 - 310*i/3 + 8344. Find l, given that t(l) = 0.
-2, 155
Suppose -4/3*p**3 + 424/3*p - 561*p**2 + 421 = 0. Calculate p.
-421, -3/4, 1
Let m(s) be the second derivative of -s**8/8960 - s**7/560 + 7*s**6/960 - s**4/12 - s**2/2 - 38*s - 1. Let b(t) be the third derivative of m(t). Factor b(n).
-3*n*(n - 1)*(n + 7)/4
Let v = -56303/4 + 14076. Let y(n) be the second derivative of -v*n**4 - 3/2*n**2 + n**3 - 28*n + 0. Factor y(m).
-3*(m - 1)**2
Let u(i) be the second derivative of i**4/48 - 77*i**3/8 + 2483*i. Suppose u(f) = 0. What is f?
0, 231
Let i(l) be the second derivative of -l**5/70 - 419*l**4/42 - 2080*l**3 + 6300*l**2 - 65*l + 58. What is t in i(t) = 0?
-210, 1
Suppose 0 = 7*f - 9*f + 98. Let d = f + -43. Factor d*m**3 + 6*m**5 - 11*m**5 + 5*m**2 - 5*m**4 - m**3.
-5*m**2*(m - 1)*(m + 1)**2
Let f(y) = -y**3 - 6*y**2 - 2*y + 26. Let o be f(-4). Suppose 20 - o = 6*x. Let -3/5*q**2 + 0 + 0*q + 3/5*q**4 + 0*q**x = 0. What is q?
-1, 0, 1
Let y(m) be the second derivative of 1/120*m**6 + 7/80*m**5 + 220*m + 7/24*m**4 + 1 + 1/3*m**3 + 0*m**2. Factor y(x).
x*(x + 1)*(x + 2)*(x + 4)/4
Suppose -n = -2*x + 3*x - 1, -3*n = -5*x + 5. Let p = -80002 + 80004. Factor -3/5*o - 1/5*o**p + n.
-o*(o + 3)/5
Let h(a) be the third derivative of 1/12*a**5 - 1/42*a**7 - 5/336*a**8 + 1/24*a**6 - 24 + 0*a - 5*a**2 + 0*a**4 + 0*a**3. Factor h(k).
-5*k**2*(k - 1)*(k + 1)**2
Let u(k) be the first derivative of k**5/80 + 3*k**4/16 + k**3/3 - 66*k + 65. Let c(j) be the first derivative of u(j). Factor c(y).
y*(y + 1)*(y + 8)/4
Let g(k) be the second derivative of 5/42*k**7 - 64*k + 5/3*k**3 + 5/12*k**4 + 0 - 1/6*k**6 - 3/4*k**5 + 0*k**2. Solve g(o) = 0.
-1, 0, 1, 2
Find a such that -10*a**2 + 112/11 + 60/11*a**3 - 60/11*a - 2/11*a**4 = 0.
-1, 1, 2, 28
Let k(w) = -10 + 12*w + 3 - 4*w**3 - w**2 - 5*w + 6*w**2. Let j(y) = 2*y**3 - 3*y**2 - 4*y + 4. Suppose 7*q = 67 - 18. Let g(h) = q*j(h) + 4*k(h). Factor g(a).
-a**2*(2*a + 1)
Suppose -432 = -14*z - 57*z - 145*z. Let d(w) be the second derivative of 1/10*w**3 + 1/5*w**2 + 1/60*w**4 - z*w + 0. Factor d(y).
(y + 1)*(y + 2)/5
Solve 1632/5*s**2 - 8064/5*s - 104/5*s**3 + 0 + 2/5*s**4 = 0.
0, 12, 28
Suppose -8*h + 43*h = -20*h. What is l in 6/13*l**2 + 2/13*l + h = 0?
-1/3, 0
Let r(n) = n**2 + 8*n - 18. Let o be r(-10). Let a = o - 2. Factor -2*d**2 - d**4 + 3 + 90*d - 85*d + a*d**4 + d**5 - 6*d**3.
(d - 3)*(d - 1)*(d + 1)**3
Let f be 32/(-50) - 222/(-185). Let s(m) be the first derivative of 16 - f*m**5 - 8/3*m**3 - 8/5*m**2 + 0*m - 9/5*m**4 - 1/15*m**6. Factor s(h).
-2*h*(h + 1)*(h + 2)**3/5
Let a be 11 + 48/6 + -20. Let l be (32 + -31)*(-1 - a). Suppose 0*b - 8/3*b**2 + l + 4*b**3 - 4/3*b**4 = 0. What is b?
0, 1, 2
Factor 3204100 + 3105*x + 2782*x**2 + 2768*x**2 - 5546*x**2 - 10265*x.
4*(x - 895)**2
Suppose 10*x**2 - 156/5 + 1/5*x**3 - 107/5*x = 0. What is x?
-52, -1, 3
Let j(t) be the third derivative of t**5/20 - 87*t**4/8 - 44*t**3 + 423*t**2 + 2. What is z in j(z) = 0?
-1, 88
Let p be 0/(1 + -2 - (-22 - -18)). Suppose 90 = 5*f - 3*i, p = 2*f + 3*i + i - 10. What is z in f*z**2 - 4*z**3 - 2*z**4 - 692*z + 683*z + z**3 - z**4 = 0?
-3, 0, 1
Let u(w) be the third derivative of 169/45*w**3 - 13/90*w**4 + 3*w**2 - 10 + 1/450*w**5 + 0*w. Let u(o) = 0. What is o?
13
Let u(c) be the first derivative of -c**3/12 - 107*c**2/8 + 27*c - 661. Suppose u(a) = 0. Calculate a.
-108, 1
Let i(h) be the first derivative of 13*h**5/5 - 2*h**4/3 - 26*h**3/3 + 4*h**2 + 7*h - 51. Let t(y) be the first derivative of i(y). Factor t(p).
4*(p - 1)*(p + 1)*(13*p - 2)
Let a(v) be the first derivative of -v**6/30 - 14*v**5/25 + 359*v**4/20 + 376*v**3/3 - 24928*v**2/5 + 184832*v/5 - 798. Factor a(i).
-(i - 8)**3*(i + 19)**2/5
Let c(k) = 9*k**3 - 5*k**2 + 6*k - 5. Let n be c(1). Solve -62 - 1010*l**2 + 185*l**3 + 402 - 360*l + 75*l**4 - 5*l**n + 775*l**2 = 0.
-2, 1, 17
Let q(p) = 8*p**2 + p + 30. Let u be q(7). Let m = u + -3001/7. Factor 8/7 - m*h - 10/7*h**2.
-2*(h + 1)*(5*h - 4)/7
Find m such that 5/11*m**5 - 323104667/11*m + 228637048/11*m**2 + 1925678/11*m**3 + 92536558/11 + 5378/11*m**4 = 0.
-359, 2/5, 1
Let n(j) = -j**2 - 6*j - 22. Let y be n(-4). Let f be (-634)/y + 2/(-7). What is m in 3*m**2 - 4*m**2 + 86*m - 40*m - f*m = 0?
0, 1
Let h(f) be the second derivative of 1/90*f**4 - 4/5*f**3 + 0 + 108/5*f**2 + 87*f. Factor h(p).
2*(p - 18)**2/15
Suppose 634*b - 4303 - 7011 = -113*b - 3844. Solve 242/9 + 4/9*s**3 + b*s**2 + 176/3*s = 0.
-11, -1/2
Let j(h) = 2*h**3 + 3*h**2 + 7*h - 7. Let n be j(1). Let 18*a**4 + 42*a**5 + 33*a**3 + 2 + 18*a**2 - 17*a**n - 2 - 22*a**5 = 0. Calculate a.
-3, -2, -1, 0
Let h = -161898/5 - -1388812/45. Let t = h + 1518. Find u such that 2/9*u**2 - 2/3*u - t = 0.
-1, 4
Let v be (3/(-21))/(42 - (-11988)/(-252) - 5*-1). Factor v*q**2 - 3*q + 5.
(q - 10)*(q - 2)/4
Suppose 1080 + 7712*u**3 - 1596*u + 304*u**2 + 470*u**2 - 7829*u**3 - 3*u**4 = 0. What is u?
-45, 2
Let a(h) = h**2 - h - 67. Let b be a(9). Suppose 2*s - k - b = 0, 1 = -4*k + 5. Factor 0*q + 0 - 2/15*q**s - 2/15*q**4 + 0*q**2.
-2*q**3*(q + 1)/15
Let t(f) be the first derivative of -244 - 33/8*f**4 - 27/10*f**5 + 0*f + 8*f**3 + 3*f**2. Solve t(m) = 0 for m.
-2, -2/9, 0, 1
Let b be 8/(-5)*(-95)/38. Factor -9 + 12 - 23*u + 24 - b*u - u**3 + 9*u**2.
-(u - 3)**3
Let p(b) be the first derivative of -b**3 - 2379*b**2 - 1886547*b - 1667. Factor p(j).
-3*(j + 793)**2
Let b(r) be the first derivative of -6*r**2 + 0*r + 3*r**4 + 99 - 58/3*r**3 + 2*r**5. Factor b(z).
2*z*(z - 2)*(z + 3)*(5*z + 1)
Let v(u) be the first derivative of 4*u**5/5 + 113*u**4 - 1856*u**3/3 + 936*u**2 - 14407. Factor v(d).
4*d*(d - 2)**2*(d + 117)
Suppose -842*i = -848*i + 12. Factor 143*r + r**3 - 4*r**i - r**3 - 169*r - 20 + 2*r**3.
2*(r - 5)*(r + 1)*(r + 2)
Let f be ((-12)/30 - (-84)/245)/((-18)/126). Find h, given that -4*h + f*h**2 + 18/5 = 0.
1, 9
Determine s, given that 3/8*s**5 - 1311/8*s**3 + 632043/2 - 123/8*s**4 + 86751*s + 46251/8*s**2 = 0.
-9, 34
Determine b so that 477/5*b + 126/5*b**3 - 3/5*b**5 - 1768/5*b**2 + 34/5*b**4 + 1134/5 = 0.
-7, -2/3, 1, 9
Let w(a) = 2*a + 33. Let p be w(-9). Suppose 0 = -22*v + p*v + 14. Factor 13*i**2 + 36*i + 125*i**3 + 179*i**v + 131*i**3.
4*i*(8*i + 3)**2
Let h(i) = -41*i**4 - 94*i**3 + 15*i**2 + 86*i + 20. Let y(o) = o**4 + 2*o**3 + 2*o + 2. Let t(n) = h(n) + 2*y(n). Solve t(j) = 0.
-2, -1, -4/13, 1
Let o(i) = -14 - 11*i - 7*i - 9*i + 13*i. Let p be o(-7). Factor -p*s**3 + 47*s**3 - 9*s**5 + 43*s**3 + 3*s**4.
-3*s**3*(s - 1)*(3*s + 2)
Let g(l) be the second derivative of -15/4*l**4 - 35*l - 7/4*l**5 + 0 + 10*l**3 + 10*l**2. Let g(a) = 0. What is a?
-2, -2/7, 1
Let u(y) = -y**3 + 2*y**2 + 4*y - 2. Let a(m) = 26*m**3 + 178*m**2 + 190*m - 16. Let o(v) = -a(v) + 18*u(v). Solve o(p) = 0 for p.
-2, -1, -5/22
Factor -466855*w**4 - 232*w**2 - 106*w**3 + 2532*w**2 + 466859*w**4 - 374*w**3.
4*w**2*(w - 115)*(w - 5)
Suppose 18*b**5 + 16134*b - 44*b**2 - 8068*b + 8*b**3 - 4 + 48*b**4 - 8092*b = 0. Calculate b.
-2, -1, -1/3, 1
Solve 164/3*l**4 - 110*l**3 - 8 + 94/3*l + 16/3*l**5 + 80/3*l**2 = 0 for l.
-12, -1/2, 1/4, 1
Let a(r) = 6*r**4 - 4*r**3 + 22*r**2 - 16*r - 3. Let v(m) = -2*m**4 + 2*m**3 - 10*m**2 + 6*m + 2. Let c(s) = 2*a(s) + 5*v(s). Factor c(o).
2*(o - 1)**2*(o + 1)*(o + 2)
Let d be (18 - 3268/190)/(-1 - (-26)/20). Find o such that -16/3*o**3 - 2/3*o**2 - 2*o**4 + d + 16/3*o = 0.
-2, -1, -2/3, 1
Suppose -8 = -8*m, 7*m - 5 = -2*d + 2*m. Let r(a) be the first derivative of -33/2*a**2 + d*a - a**3 + 10. Find j, given that r(j) = 0.
-11, 0
Let t(l) = -13*l + 26. Let o be t(6). Let u = o - -51. Let z(v) = 9*v**2 - 69*v + 39. Let r(y) = 1. Let p(a) = u*z(a) - 3*r(a). What is q in p(q) = 0?
2/3, 7
Let 476630*o + 14*o**3 + 117*o**2 - 59*o**3 - 476741*o + 3*o**4 + 36 = 0. Calculate o.
1, 12
Let q(b) = 0*b + 5*b - 1 - 7*b. Let t be q(-2). Determine x, given that -5*x**2 + 3*x**2 + 10*x**2 - t*x**4 + 6*x + x**2 = 0.
-1, 0, 2
Let x be 52/(-39)*6/(-4). Factor -6*q**x + 143*q**5 + 6*q**4 - 70*q**5 - 71*q**5 - 3*q**3 + q**3.
2*q**2*(q - 1)*(q + 1)*(q + 3)
Find k such that -12/7*k**