-z**7/189 + 7*z**6/135 + 3*z**5/10 + 29*z**4/54 + 10*z**3/27 - 2536*z. Factor n(o).
-2*o*(o - 10)*(o + 1)**3/9
Suppose -j - 10 = 4*v, -20 = -48*v + 53*v + 2*j. Suppose 0 - 8/3*t**3 - 2*t**2 - 2/3*t**4 + v*t = 0. Calculate t.
-3, -1, 0
Let s be 91714/84 - 3/2 - 4. Let n = s + -1086. Factor 1/9*m**2 - n + 2/9*m.
(m - 1)*(m + 3)/9
Let d(u) be the first derivative of 10*u**3/3 + 518*u**2 - 416*u - 9722. Factor d(p).
2*(p + 104)*(5*p - 2)
Suppose -n - 3*l + 136 = 2*l, -4*n + 3*l + 613 = 0. Let r = n + -149. Find q, given that 1 + 3*q - 69/4*q**r - 77/4*q**3 = 0.
-1, -2/11, 2/7
Let d(n) be the second derivative of n**8/60480 + n**7/4536 + n**6/1620 - 89*n**4/12 - 60*n. Let j(z) be the third derivative of d(z). Factor j(m).
m*(m + 1)*(m + 4)/9
Let b = -500 - -502. Factor 4*z**3 + 2*z**4 - 2*z - 3*z**2 - 3*z**b + 4*z**3 - 8*z - 6*z**3 - 4.
2*(z - 2)*(z + 1)**3
Find w such that -w**2 + 0 - 9/2*w**3 + w**4 + 1/2*w**5 + 4*w = 0.
-4, -1, 0, 1, 2
Suppose 762/5*z**2 + 14*z**3 + 522*z + 2/5*z**4 + 540 = 0. What is z?
-15, -3, -2
Let c be 48 + 11 + -38 - 19. Solve 3/8*z**4 - 6 + 21/2*z - 3/8*z**3 - 9/2*z**c = 0 for z.
-4, 1, 2
Let x(k) = -5*k**2 - 38054*k + 44330541. Let v(z) = -2*z**2 - 19012*z + 22165270. Let b(g) = 13*v(g) - 6*x(g). Factor b(f).
4*(f - 2354)**2
Let r(q) be the third derivative of q**8/1344 + q**7/105 + q**6/30 - 3*q**5/40 - 27*q**4/32 - 9*q**3/4 + 2*q**2 + 3446*q. Let r(s) = 0. Calculate s.
-3, -1, 2
Let n(i) = -i**2 - i - 1. Let o(y) = -20*y**2 - 425*y + 7975. Let c be (-21)/14 + 141/(-6). Let p(b) = c*n(b) + o(b). Find k such that p(k) = 0.
40
Let p(h) = 3*h**2 + h + 5. Let t(g) = -g**2 - 493*g - 499. Let j(b) = -p(b) - t(b). Let j(i) = 0. What is i?
-1, 247
Factor 58/11*q + 112/11 + 1/11*q**2.
(q + 2)*(q + 56)/11
Suppose -7*l + 12*l = 30. Suppose l = -10*y + 56. Let -3*w**4 - 666 + 3*w**y + 666 = 0. What is w?
0, 1
Let q(y) be the first derivative of -y**6/2 + 29*y**5/15 - 2*y**4 + 4*y**3/9 + 248. Solve q(f) = 0.
0, 2/9, 1, 2
Let q(y) be the third derivative of -y**6/40 + 6*y**5/5 - 65*y**4/8 + 21*y**3 - 2*y**2 + 1386*y. Factor q(v).
-3*(v - 21)*(v - 2)*(v - 1)
Determine l, given that -272*l + 7*l**3 + 60*l - 39*l - 35*l**3 - 37*l - 4*l**4 + 216*l**2 = 0.
-12, 0, 2, 3
Let s(r) = -16*r**2 - 30*r - 1. Let v be s(-2). Let l be 40/50 + (-5 - v). Factor 8/5*q - 2/5*q**3 - l*q**2 + 16/5.
-2*(q - 2)*(q + 2)**2/5
Find s such that -15/2*s**3 - 69/8*s**2 + 0 + 3/8*s**4 + 63/4*s = 0.
-2, 0, 1, 21
Let d = 61097 - 244387/4. Determine j, given that 0 + d*j + 1/4*j**2 = 0.
-1, 0
Suppose -115*z + 1364 = 174*z + 52*z. Let d(i) be the first derivative of 6 + 0*i**3 + 0*i - 1/10*i**z + 4/5*i**2. Find p, given that d(p) = 0.
-2, 0, 2
Let g(i) be the third derivative of i**7/2520 - i**5/120 - i**4/36 + 17*i**3/3 + 69*i**2. Let u(b) be the first derivative of g(b). Factor u(x).
(x - 2)*(x + 1)**2/3
Suppose 46*j = 45*j - 108. Let y be (-567)/j + 2/(-8). Factor -16*a**3 - 2/3*a**y + 0 + 16/3*a**4 + 64/3*a**2 - 32/3*a.
-2*a*(a - 2)**4/3
Let 14*s**3 + 329*s**4 - 330*s**4 - 459*s**2 + 410*s**2 = 0. What is s?
0, 7
Factor -1/3*u**4 + 0 + 1/3*u**2 + u - u**3.
-u*(u - 1)*(u + 1)*(u + 3)/3
Let y(n) be the third derivative of 78*n**2 + 0 - 5/39*n**3 + 1/390*n**5 + 0*n + 1/39*n**4. Factor y(b).
2*(b - 1)*(b + 5)/13
Let a(h) be the first derivative of h**6/63 - 9*h**4/14 - 12*h**3/7 + 789. Factor a(p).
2*p**2*(p - 6)*(p + 3)**2/21
Let o(a) = 9*a**5 + 5*a**4 - 96*a**3 + 4*a**2 + 4*a + 4. Let y(d) = 19*d**5 + 10*d**4 - 191*d**3 + 9*d**2 + 9*d + 9. Let v(t) = -9*o(t) + 4*y(t). Factor v(m).
-5*m**3*(m - 4)*(m + 5)
Let r(u) = 116*u + 13. Let p be r(2). Let f = p + -242. Suppose 1/3*b**3 - f*b**2 + 0 + 0*b = 0. What is b?
0, 9
Suppose -7*r + 6 = -4*r. Suppose -r*w + 27 - 21 = 0. Factor 9/5*n**w - 9/5*n - 2/5 + 2/5*n**2.
(n - 1)*(n + 1)*(9*n + 2)/5
Find u, given that 0*u + 81/2*u**4 + 5/4*u**5 - 101/4*u**3 - 33/2*u**2 + 0 = 0.
-33, -2/5, 0, 1
Let k(p) be the second derivative of p**7/189 + 14*p**6/135 - p**5/6 + 2*p + 29. Solve k(r) = 0 for r.
-15, 0, 1
Suppose m + 21 = 22. Let d(r) = 3*r - 1. Let w be d(m). Let 36*q**2 - 58*q**3 + 12*q**w + 6*q**3 - 4*q**5 - 16*q + 24*q**4 = 0. What is q?
0, 1, 2
Let b(l) be the third derivative of l**5/100 + 351*l**4/10 + 246402*l**3/5 + 509*l**2. Factor b(z).
3*(z + 702)**2/5
Let o(y) = 23*y + 23. Let n be o(-1). Suppose n = -41*q + 4*q - 4*q. Factor 2/7*p**2 + q - 2/7*p**3 + 0*p.
-2*p**2*(p - 1)/7
Let w = 2304 - 2526. Let q be 21/2 + w/(-296). Factor 0 - 5/4*b**2 - q*b.
-5*b*(b + 9)/4
Let i(r) be the second derivative of r**4/144 + 601*r**3/36 + 361201*r**2/24 + 902*r. Factor i(c).
(c + 601)**2/12
Let -2739*g + 6 - 9*g**3 - 3*g**4 - 19*g**2 + 2748*g + 16*g**2 = 0. Calculate g.
-2, -1, 1
Let o(a) be the first derivative of -a**4/16 + 49*a**3/12 + a**2/8 - 49*a/4 + 1318. Factor o(q).
-(q - 49)*(q - 1)*(q + 1)/4
Let p(w) be the first derivative of -1/3*w**3 + 7/3*w**2 - 55 - 8/3*w + 1/15*w**5 - 1/3*w**4. Solve p(q) = 0 for q.
-2, 1, 4
Let t be 5*(-10)/(-575) - (-14478)/138. Let u = 105 - t. Solve -1/3*b**4 + u + 4/3*b - 3*b**2 + 2*b**3 = 0.
0, 1, 4
Let c = 781 - 776. Let u(i) = -i**3 + 53*i**2 + 10*i - 10. Let r(k) = -k**3 + 27*k**2 + 6*k - 4. Let v(y) = c*r(y) - 2*u(y). Find x, given that v(x) = 0.
-1/3, 0, 10
Let -6480*u + 7050*u**5 + 110*u**4 - 920*u**3 - 3516*u**5 + 3600*u**2 + 4320 - 3539*u**5 = 0. What is u?
2, 6
Suppose 157/2*j + 313/4 + 1/4*j**2 = 0. What is j?
-313, -1
Let v(g) = 54*g**4 + 10*g**3 + 26*g**2 - 7*g. Let l(n) = -23*n**4 - 5*n**3 - 12*n**2 + 3*n. Let b(k) = -7*l(k) - 3*v(k). Find o, given that b(o) = 0.
-1, 0, 6
Let p(n) be the third derivative of 2/175*n**7 + 0*n**4 + 1/200*n**6 + 74*n**2 + 0*n**3 + 0*n - 1/25*n**5 + 0 - 1/560*n**8. Suppose p(f) = 0. What is f?
-1, 0, 1, 4
Let s(r) be the second derivative of r**6/10 - 9*r**5/20 - r**4/4 + 3*r**3/2 + 8*r + 22. Factor s(t).
3*t*(t - 3)*(t - 1)*(t + 1)
Let u(o) be the second derivative of 0*o**2 + 0 - 59*o + 4/9*o**3 + 2/45*o**6 - 7/30*o**5 + 2/9*o**4. Factor u(r).
2*r*(r - 2)**2*(2*r + 1)/3
Let r be (-6)/42 + (-6 - 114/(-14)). Solve 2 + 78*d**3 - 654*d**3 - 20*d**5 - 184*d**4 - 2 - 648*d**r + 377*d - 485*d = 0.
-3, -1/5, 0
Let o = -277/16 + 3247/176. Let z(v) be the first derivative of -4/11*v**3 - o*v**2 - 6/11*v + 7/44*v**4 + 18. Find y, given that z(y) = 0.
-1, -2/7, 3
Factor 378*b**5 + 174*b**4 + 180480*b - 375*b**5 + 3819*b**3 + 38928*b**2 + 397100 - 89900.
3*(b + 5)**2*(b + 16)**3
Let r be 0 + -9 - (30/27 + (-763)/63). Factor 20/13*j**r + 0 + 0*j + 12/13*j**4 - 34/13*j**3.
2*j**2*(j - 2)*(6*j - 5)/13
Let q(y) be the third derivative of 1/48*y**4 - 1/120*y**6 + 1/280*y**7 - 1/48*y**5 + 0*y + 0 + 0*y**3 - 30*y**2. Solve q(m) = 0 for m.
-1, 0, 1/3, 2
Let c(u) = -3*u**3 - 786*u**2 - 1551*u - 768. Let w(x) = 6*x**3 + 1571*x**2 + 3101*x + 1536. Let j(i) = 23*c(i) + 12*w(i). Find a, given that j(a) = 0.
-256, -1
Let a = -17 + 40. Let m = 25 - a. What is f in -f**4 + 121*f**2 + 3 - 115*f**m - 6 - 2*f**4 = 0?
-1, 1
Let k be 306/24 - (-2 - (12 + -24)). Let 5*h + 1/4*h**4 + k*h**2 - 2*h**3 + 0 = 0. Calculate h.
-1, 0, 4, 5
Let j be 13/21*163*2/(-6). Let d = 237/7 + j. Factor 0 + 2/9*o**3 + d*o - 4/9*o**2.
2*o*(o - 1)**2/9
Let n be -9 - (-10 - -6) - (-8 - -1). Find r such that 12*r**5 - 8*r**n - 88*r**4 - 12*r**3 - 102*r**4 + 198*r**4 = 0.
-1, -2/3, 0, 1
Suppose 0 = -2*k + 9 + 7. Factor -4*y**3 + 2*y - k - 6*y**3 + 8*y**2 - 3*y**2 + 11*y**3.
(y - 1)*(y + 2)*(y + 4)
Let r(m) = 3*m - 36. Let t be r(12). Let a = -1257 - -1260. Find v such that 1/6*v**a + t - 1/6*v**2 + 0*v = 0.
0, 1
Determine x, given that -92*x**2 - 258*x**2 + 25*x**3 - 20*x**4 + 25*x**4 - 480 + 800*x = 0.
-12, 1, 2, 4
Let p = 1392411 - 2784821/2. Suppose -1/4*b - 1/4*b**4 + 1/2*b**3 + p*b**2 - 1/4*b**5 - 1/4 = 0. What is b?
-1, 1
Suppose -602*u + 594*u + 8408 = 0. Factor 1032*h + 8*h**2 - u*h - h**2 + 10.
(h - 2)*(7*h - 5)
Let s = 7516 - 7515. Let t(p) be the first derivative of 15/2*p**4 - 55/3*p**3 + 0*p - s - p**5 + 15*p**2. Factor t(x).
-5*x*(x - 3)*(x - 2)*(x - 1)
Let g = 1821033 + -12747193/7. Factor 2/7*i**2 + 96/7 - g*i.
2*(i - 16)*(i - 3)/7
Suppose 0 = -7*t - 6*t + 39. Let q be (t/(-3))/(4/(-164)). Solve -13 + q - 24*c + 2*c**3 - 60 = 0 for c.
-2, 4
Let 4187618 - q**2 + 5*q**2 - 2*q**2 - 3099*q - 