a**2 + 10/9*a**3. Let y(r) be the first derivative of s(r). Suppose y(g) = 0. Calculate g.
-4
Let u(n) be the second derivative of -n**4/54 - 331*n**3/27 + 8*n - 77. Find t such that u(t) = 0.
-331, 0
Let h(v) be the first derivative of -v**5/120 - v**4/24 - v**3/12 + 11*v**2/2 - 70. Let x(p) be the second derivative of h(p). Determine y so that x(y) = 0.
-1
Let h = 363 - 339. Factor -10*q**3 + 5*q**2 + 32*q - 34*q - h + 11*q**3.
(q - 2)*(q + 3)*(q + 4)
Let i = -225 + 237. Factor 343*j**3 - 355*j**3 + i*j**4 + 9*j + 4*j**5 + 15*j - 28*j**2.
4*j*(j - 1)**2*(j + 2)*(j + 3)
Suppose -5*v - 4*u + 6*u = 1275, -5*v = 4*u + 1305. Let y = 157 - v. Solve 25*l**2 - 4*l**3 - l**3 - y*l + 35 + 479*l = 0.
-1, 7
Let k(i) be the second derivative of -i**4/16 - 81*i**3/2 - 19683*i**2/2 + 631*i. Find a, given that k(a) = 0.
-162
What is y in -744 + 3/4*y**2 + 87*y = 0?
-124, 8
What is a in -1/8*a**2 - 399/8 + 5*a = 0?
19, 21
Suppose -2*p = -3*t + 1759, -15*p + 18*p + 2*t + 2632 = 0. Let i = 6158/7 + p. Factor -36/7 - 1/7*k**2 - i*k.
-(k + 6)**2/7
Let l = 1971 + -100520/51. Let v(a) be the second derivative of 14*a + l*a**3 + 0 + 1/170*a**5 + 0*a**2 - 1/51*a**4. Factor v(o).
2*o*(o - 1)**2/17
Let w be 7/(-5) - 861/(-574). Let b(h) be the third derivative of 5/8*h**4 - 1/40*h**6 + 3*h**3 + 0 - w*h**5 + 0*h + 7*h**2. Find z, given that b(z) = 0.
-3, -1, 2
Let w be -5*85/25 - -11. Let q = 6 + -1. Let t(i) = 2*i**2 - 10*i + 12. Let y(j) = 2*j**2 - 10*j + 12. Let a(h) = q*y(h) + w*t(h). Find c such that a(c) = 0.
2, 3
Let p(u) be the first derivative of u**6/72 - u**5/3 + 5*u**4/2 - 18*u**3 + 54. Let m(f) be the third derivative of p(f). Factor m(r).
5*(r - 6)*(r - 2)
Solve -64*c + 899*c**3 - 429*c**3 - 466*c**3 = 0 for c.
-4, 0, 4
Factor -3615*u**2 - 1406*u**4 + 696*u**4 - 2046 + 1266*u**3 + 707*u**4 - 2532*u**2 - 6141*u - 3321*u**3.
-3*(u + 1)**3*(u + 682)
Let h = 147 + -135. Let d be 42/h + 1 + -3. Factor 1/2*z**2 + d*z + 1.
(z + 1)*(z + 2)/2
Suppose -3*f + 147 = -2*y, 7*f + 4*y - 196 = 3*f. Solve f + 27*c**2 - 49 + 135*c - 22*c**2 = 0.
-27, 0
Let j(f) = -3*f**3 + 2*f**2 + 6*f + 12. Let k be j(-2). Determine x so that -12*x**2 - 14*x**2 - 10 - 10*x**4 + 10 - k*x**3 - 4*x = 0.
-2, -1, -1/5, 0
Let n be 9*(-9 - ((-83930)/168)/55). Find x, given that -9/4*x**2 + 0 - n*x**3 + 3*x = 0.
-4, 0, 1
Let m(y) be the second derivative of -y**4/72 + 184*y**3/9 - 33856*y**2/3 - 6*y + 98. Determine z, given that m(z) = 0.
368
Find j such that 229*j - 425*j - 579 + 95065*j**2 - 95068*j**2 - 386*j = 0.
-193, -1
Suppose -234 = -148*m + 31*m. Factor 6/7*x**m + 2/7*x - 6/7 - 2/7*x**3.
-2*(x - 3)*(x - 1)*(x + 1)/7
Let z be ((-347802)/378)/49 - -19. Factor 14/9*x - 4/3 - z*x**2.
-2*(x - 6)*(x - 1)/9
Let z = 542 - 552. Let a be -7 - (-6)/(-21)*295/z. Factor -12/7*x**2 + 12/7 - a*x.
-2*(6*x**2 + 5*x - 6)/7
Let m(i) be the second derivative of 0*i**6 + 0*i**4 - 118*i + 0*i**2 + 0 + 0*i**3 - 1/126*i**7 + 0*i**5. Factor m(w).
-w**5/3
Let z(m) be the third derivative of m**8/280 - 16*m**7/1575 - 31*m**6/900 + 11*m**5/75 - m**4/9 - 8*m**3/45 + m**2 - 1808*m. Find b such that z(b) = 0.
-2, -2/9, 1, 2
Suppose -9*p + 727 - 691 = 0. Suppose -3*a + 11*m + 16 = 6*m, -2*a = 4*m - 40. Factor 15*v**3 + 126*v + p*v**4 - 123*v + a*v**2 + 2*v**4.
3*v*(v + 1)**2*(2*v + 1)
Suppose 3 = -v, 7*v = -4*x - 0*v + 779. Let l be 553/392 + (x/35 - 6). Suppose -1/2*t**3 - 1/8*t**4 - l + 1/4*t**2 + 3/2*t = 0. Calculate t.
-3, 1
Let x be (3 + 1 + 0)/(10/25). Let 18*c**4 - 78*c**2 + 60*c**2 - 2*c**3 - c**5 - 4*c**3 - x*c**3 + 17*c = 0. Calculate c.
-1, 0, 1, 17
Let b(c) be the second derivative of c**7/189 + 22*c**6/135 + 133*c**5/90 + 16*c**4/9 - 76*c**3/3 + 48*c**2 + 26*c + 22. Solve b(h) = 0.
-12, -6, 1
Let p(r) be the second derivative of r**7/63 + 4*r**6/5 + 23*r**5/3 + 80*r**4/9 - 77*r**3/3 - 196*r**2/3 + r - 4018. Suppose p(a) = 0. Calculate a.
-28, -7, -1, 1
Let w = 1090869/287080 + 7/57416. Find d, given that w*d + 1/5*d**2 + 0 = 0.
-19, 0
Solve -87/2*n + 6*n**3 - 57/4*n**2 + 18 = 0 for n.
-2, 3/8, 4
Let n(k) be the first derivative of -10*k**6/11 + 18*k**5/55 + 90*k**4/11 + 124*k**3/11 + 18*k**2/11 - 54*k/11 - 838. Determine h so that n(h) = 0.
-1, 3/10, 3
Let v(a) be the first derivative of 3*a**4/4 - 72*a**3 - 219*a**2/2 + 1160. Suppose v(q) = 0. What is q?
-1, 0, 73
Let w = -3000 + 3004. Let v(x) be the first derivative of -4/21*x**3 - 12 - 1/14*x**w - 1/7*x**2 + 0*x. Find a such that v(a) = 0.
-1, 0
Let z(a) be the second derivative of -a**5/10 + 557*a**4/6 - 76151*a**3/3 - 394805*a**2 + 2*a - 3624. Factor z(s).
-2*(s - 281)**2*(s + 5)
Let p be (3/(-1))/((-15)/30). Let i be (-36)/(-30)*p*25/90. Determine a, given that 2*a**3 - 14/3*a**i + 4/3*a**4 - 8/3 - 8*a = 0.
-2, -1, -1/2, 2
Let n(b) be the third derivative of 1/180*b**6 + 0 - 16/9*b**3 + 2/45*b**5 - 1/9*b**4 + 3*b**2 + 2*b. Factor n(r).
2*(r - 2)*(r + 2)*(r + 4)/3
Let s = 1099 - 1097. Let g be (-9)/4*s + 47 + -41. Determine c, given that 4/3*c - 1/6*c**2 + g = 0.
-1, 9
Suppose 5730490 - 1885*h**4 - 8580595*h + 8550335/2*h**2 - 5/4*h**5 - 2819885/4*h**3 = 0. Calculate h.
-757, 2
Suppose -2152541 + 2*o**5 + 4*o + 2152541 + 2*o**2 + 0*o**5 - 2*o**4 - 6*o**3 = 0. What is o?
-1, 0, 1, 2
Solve -408/11*h**2 + 1608/11*h - 1600/11 + 2/11*h**3 = 0.
2, 200
What is a in -1284 + 16*a**2 + 9484*a - 20538*a + 9354*a = 0?
-3/4, 107
Let x(k) be the third derivative of -1/42*k**7 + 0*k**5 + 0*k + 1/60*k**6 + 3*k**2 + 0*k**3 + 0*k**4 + 8. Factor x(b).
-b**3*(5*b - 2)
Let k(y) be the first derivative of -40*y**4 - 1/3*y**6 + 128/3*y**3 + 0*y**2 + 65 + 34/5*y**5 + 0*y. Factor k(h).
-2*h**2*(h - 8)**2*(h - 1)
Let f(o) be the third derivative of 1/420*o**5 - 2*o + 13*o**2 - 1/84*o**4 - 4/21*o**3 + 0. Let f(l) = 0. What is l?
-2, 4
Solve -4/3*a**3 - 46/9*a**2 + 2*a + 40/9 = 0 for a.
-4, -5/6, 1
Let p = -56974/17 - -286026/85. Determine c so that -23/5 + 2/5*c**3 - p*c - 43/5*c**2 = 0.
-1, -1/2, 23
Suppose 0 = 3*n - 5*x - 14017 + 13986, 35 = 5*n - 5*x. Factor -6/5 - 14/5*h + 2/5*h**5 - 4/5*h**n + 12/5*h**3 + 2*h**4.
2*(h - 1)*(h + 1)**3*(h + 3)/5
Let u(j) = 17*j**2 - 2*j. Let g(y) = 101*y**2 - 211*y + 1230. Let x(o) = g(o) - 6*u(o). Factor x(z).
-(z - 6)*(z + 205)
Suppose g + 0*g - y = 14, -41 = -4*g + y. Let x be (24/(-10) + 3)*125/50. Solve -27/2 - x*z**2 - g*z = 0 for z.
-3
Let q = -158/29 + 28469/5220. Let v(w) be the third derivative of -17*w**2 - 2/9*w**3 + 1/36*w**4 + 0 - q*w**6 + 1/45*w**5 + 0*w. Factor v(c).
-2*(c - 2)*(c - 1)*(c + 1)/3
Let n = 63 - 58. Let g(f) = -f**3 - 12*f**2 - 16*f. Let t(p) = 2*p**3 + 18*p**2 + 24*p. Let s(d) = n*t(d) + 8*g(d). Factor s(l).
2*l*(l - 4)*(l + 1)
Let x(r) be the second derivative of -5*r**7/462 - 59*r**6/110 - 383*r**5/44 - 2001*r**4/44 + 864*r**3/11 + 1458*r**2/11 - 3557*r. Determine z so that x(z) = 0.
-18, -9, -2/5, 1
Let a(h) be the second derivative of -15 - 3/80*h**5 + 0*h**2 - h - 9/16*h**4 - h**3. Let a(y) = 0. What is y?
-8, -1, 0
Let w(y) = y**2 + 1679*y - 16888. Let k be w(10). Solve 2/21 + 0*v**3 + 0*v + 2/21*v**4 - 4/21*v**k = 0 for v.
-1, 1
Let s(w) be the first derivative of 3*w**4/32 + 117*w**3/2 - 1413*w**2/4 + 708*w - 6061. Factor s(v).
3*(v - 2)**2*(v + 472)/8
Factor 254 - 3374 + 193*a**2 - 189*a**2 - 212*a.
4*(a - 65)*(a + 12)
What is b in -104*b**2 + 2*b**5 + 8*b**5 + 300*b + 26*b**4 - 252*b - 52*b**3 = 0?
-3, -2, 0, 2/5, 2
Let r(h) be the third derivative of 15*h**2 + 36*h**3 + 0 + 6*h**4 + 1/2*h**5 - h + 1/60*h**6. Suppose r(c) = 0. What is c?
-6, -3
Factor -701*u**4 - 726*u**4 + 344*u**2 + 1431*u**4 + 180*u**3.
4*u**2*(u + 2)*(u + 43)
Factor 432/7*b**2 + 2985984/7 - 1/7*b**3 - 62208/7*b.
-(b - 144)**3/7
Suppose 86*q - 255 = 261. Let z(u) be the third derivative of 1/270*u**q + 0 - 7*u**2 - 1/945*u**7 + 0*u**3 + 0*u**4 + 0*u**5 + 0*u. What is o in z(o) = 0?
0, 2
Suppose -16*x = 106 - 90. Let q be x/((-4)/10 + (-12)/(-80)). Determine b so that -6/7 + 0*b**3 + 2/7*b**q - 12/7*b**2 - 16/7*b = 0.
-1, 3
Let c(p) be the third derivative of 0 - 52*p**2 + 0*p + 1/75*p**6 + 1/525*p**7 + 0*p**3 - 11/150*p**5 + 1/10*p**4. Factor c(h).
2*h*(h - 1)**2*(h + 6)/5
Let r = -87929/6 - -64803/2. Factor 110*n**2 + 2420*n + r + 5/3*n**3.
5*(n + 22)**3/3
Suppose 446*o**5 - 1575*o**5 + 497*o**5 + 540*o**4 + 100*o - 540*o**2 