. Determine h, given that t*h**4 - 4 - 6*h - h**2 + 3/2*h**3 = 0.
-2, -1, 2
Let g be (1 + (-1)/(-3))/(38/285). Suppose -4*v - 5*r = -65, -v + 0*v - g = -4*r. Factor 46*i**3 - v*i**4 + 14*i**2 - 60*i**2 - 2*i**3 + 12*i.
-2*i*(i - 3)*(i - 1)*(5*i - 2)
Factor 0 - 320/3*v + 4/3*v**3 + 44/3*v**2.
4*v*(v - 5)*(v + 16)/3
Suppose -2*g + 12 = -r, 0 = -3*g + 4*r + 18. Suppose -6*a + 4*a + g = 0. Factor 4*u**3 + 4*u**a - 6*u**3 + u**3.
3*u**3
Let z(c) = -c**3 + 22*c**2 - 22*c + 23. Let x be z(21). Find d such that -14*d**3 + 51*d**x - 3 - 64*d - 27 + 15*d**2 + 6 = 0.
-2/7, 2, 3
Factor 523*x**2 + 1719085 + 15256*x - 14110529 - 527*x**2 - 2155152.
-4*(x - 1907)**2
Let y(s) be the first derivative of 36/5*s**3 + 2/25*s**5 + 95 + 52/5*s**2 + 2*s**4 + 34/5*s. Factor y(a).
2*(a + 1)**3*(a + 17)/5
Let p(u) be the third derivative of -u**10/30240 - 5*u**9/12096 - u**8/1008 + 2*u**5/3 - 4*u**2. Let g(s) be the third derivative of p(s). Factor g(z).
-5*z**2*(z + 1)*(z + 4)
Let u(c) = -35*c + 2100. Let s be u(60). Let i(r) be the first derivative of 0*r**2 - 1/2*r**4 + 0*r**3 + 15 + s*r. Factor i(g).
-2*g**3
Let f(w) be the second derivative of w**4/30 + 81*w**3/5 - 248*w**2 + 101*w + 1. Find n, given that f(n) = 0.
-248, 5
Let m(h) be the first derivative of h**6/30 + 7*h**5/25 - 27*h**4/20 - 79*h**3/15 + 13*h**2/5 + 72*h/5 - 12517. Find p such that m(p) = 0.
-9, -2, -1, 1, 4
Let m(z) be the first derivative of -z**4 - 6012*z**3 - 13554054*z**2 - 13581162108*z + 5110. Factor m(q).
-4*(q + 1503)**3
Suppose 5*p = -5*i - 5, 5*i + 34 = 2*p + 8. Let b = 20 + p. Factor -16*s + 9*s**2 - 28*s**3 + 8*s**3 + b*s**2 + 4*s**4.
4*s*(s - 2)**2*(s - 1)
Let -861*v**2 + 2734*v**3 - 3431*v**2 - 800 - 17960*v - 2912*v**3 + 724*v**2 = 0. Calculate v.
-10, -4/89
Let o(z) = -z**2 - 130*z + 4803. Let v be o(30). Find a, given that 2/5*a + 0 - 6/5*a**v - 2/5*a**2 - 4/5*a**5 + 2*a**4 = 0.
-1/2, 0, 1
Let t(u) be the third derivative of 0 + 9*u**3 + 1/70*u**7 + 29/20*u**5 + 9/40*u**6 + 39/8*u**4 - 8*u**2 + 0*u. Solve t(h) = 0.
-3, -2, -1
Suppose 1548 = 35*b - 447. Suppose b*j = 54*j. Determine q so that j - 4/3*q**2 + 4/3*q = 0.
0, 1
Let r(v) be the second derivative of -v**4/108 + 257*v**3/27 + 517*v**2/6 - 1569*v. Factor r(p).
-(p - 517)*(p + 3)/9
Let k(p) be the third derivative of p**8/1344 - p**7/96 + 7*p**6/144 - p**5/12 - 37*p**3/6 + 7*p**2. Let l(i) be the first derivative of k(i). Factor l(u).
5*u*(u - 4)*(u - 2)*(u - 1)/4
Let l = 3/3814 - -3799/19070. Factor 1/5*c - l*c**3 - 3/5*c**2 + 1/5*c**4 + 2/5.
(c - 2)*(c - 1)*(c + 1)**2/5
Solve -3/4*q**4 + 0*q + 0 - 849/4*q**3 + 0*q**2 = 0 for q.
-283, 0
Let n(z) = -16*z**2 + z + 3. Let c(p) = -2868*p**2 - 1932*p + 63. Let h(i) = -c(i) + 15*n(i). Factor h(s).
3*(4*s + 3)*(219*s - 2)
Factor -225774*v + 1328*v**2 - 2*v**3 - 29191*v + 34517*v.
-2*v*(v - 332)**2
Let x(m) be the first derivative of -1178*m**3/3 + 587*m**2 + 4*m + 994. Let x(g) = 0. What is g?
-2/589, 1
Determine i so that -7/2*i**2 + 0*i - 4*i**3 + 0 - 1/2*i**4 = 0.
-7, -1, 0
Let v be (7/(-56))/(36/(-44) - (-42)/(-231)). Factor -3/4 + v*k**2 + 1/8*k.
(k - 2)*(k + 3)/8
Let n(x) = 2*x - 6. Let s be n(5). Suppose s*g = q - 0*q + 20, 3*q - 12 = 0. Let -2*z**3 - 15*z + 7*z**3 + 6*z - g*z - 10 = 0. Calculate z.
-1, 2
Let s(f) be the second derivative of -1/45*f**5 + 0*f**2 - 1 + 4/135*f**6 - 1/27*f**4 + 0*f**3 - 62*f. Factor s(m).
4*m**2*(m - 1)*(2*m + 1)/9
Let j(x) be the third derivative of 29*x**5/42 - x**4/42 - 1822*x**2 + x. Solve j(l) = 0.
0, 2/145
Let q(d) be the first derivative of 2*d**5/5 - 9*d**4 + 62*d**3/3 + 18*d**2 - 64*d - 3165. Find l, given that q(l) = 0.
-1, 1, 2, 16
Let l(f) = 10*f**2 + 5*f - 1415. Let s(q) = -5*q**2 - 3*q + 705. Let o(p) = -3*l(p) - 5*s(p). Let o(a) = 0. What is a?
-12, 12
Suppose 3*n - 2 = 13. Suppose h = 25 - n. Solve -30*k**2 + h + 26*k - 10 - 2*k**4 + 14*k**3 - 18 = 0.
1, 4
Let s(l) be the second derivative of -9*l**5/70 + 643*l**4/7 - 367*l**3/3 + 428*l**2/7 - 4419*l - 1. Suppose s(c) = 0. What is c?
1/3, 428
Let i = 4171 + -4168. Let c be (-1)/(-1*(-1)/(-2)). Factor 0 + 4/19*z**c + 2/19*z**i + 2/19*z.
2*z*(z + 1)**2/19
Let b(n) be the third derivative of n**6/600 + 113*n**5/150 - 91*n**4/24 + 38*n**3/5 + 1715*n**2 + n. Determine o, given that b(o) = 0.
-228, 1
Suppose -291 = -68*g - 19. Let j(d) be the first derivative of -3/2*d**2 - 31 - 18*d + 4*d**3 - 3/4*d**g. Suppose j(b) = 0. Calculate b.
-1, 2, 3
Suppose 17170*d = 16300*d + 1740. Suppose 4*l = z + 4, -4*z - 3*l = -3*z - 3. Solve -8/5*i**4 - 2/5*i**5 + 0*i - 6/5*i**3 + z*i**d + 0 = 0.
-3, -1, 0
Let s be 695/3*(-9)/45. Let u = 559/12 + s. Suppose 0 + 1/4*r**2 - 1/4*r**5 - 1/4*r**4 + u*r**3 + 0*r = 0. Calculate r.
-1, 0, 1
Let k(d) be the second derivative of -d**5/110 - 35*d**4/22 + 984*d**3/11 - 18576*d**2/11 - 30*d - 175. Factor k(n).
-2*(n - 12)**2*(n + 129)/11
Solve -2873 + 5592*i**2 + 4374 + 19796*i + 204*i**3 + 2*i**4 + 12905 = 0 for i.
-49, -3, -1
Suppose 17*k - 209*k = 128*k - 640. Factor -12/5*s**k + 12/5 - 3/5*s**3 + 3/5*s.
-3*(s - 1)*(s + 1)*(s + 4)/5
Suppose -12 = 554*v - 548*v. Let l(b) = -12*b**2 + 116*b + 2550. Let m(w) = -w**2 - 2*w - 3. Let p(o) = v*l(o) + 28*m(o). Factor p(a).
-4*(a + 36)**2
Let d(y) be the first derivative of -y**3/3 - 34*y**2 + 288*y - 9720. Determine b, given that d(b) = 0.
-72, 4
Let p(z) be the second derivative of -2*z**5/45 - 22*z**4 - 395*z**3/9 - 296*z**2/9 + 1116*z. Factor p(l).
-2*(l + 296)*(2*l + 1)**2/9
Let d(m) be the second derivative of 5 + 1/63*m**7 + 0*m**3 - 8/15*m**5 + 3*m + 0*m**2 - 4/45*m**6 + 32/9*m**4. Factor d(a).
2*a**2*(a - 4)**2*(a + 4)/3
Let m(d) be the third derivative of -d**7/315 + 19*d**6/180 + d**5/90 - 19*d**4/36 - 2*d**2 + 178*d. Determine q, given that m(q) = 0.
-1, 0, 1, 19
Let z(n) be the second derivative of -n**5/10 - n**4 + 3*n**3 + 14*n**2 + 4*n + 182. Let z(s) = 0. What is s?
-7, -1, 2
Let i(j) be the second derivative of -j**6/10 - 21*j**5/20 + j**4 + 14*j**3 - 482*j + 1. Factor i(t).
-3*t*(t - 2)*(t + 2)*(t + 7)
Let f(r) be the first derivative of -227 + 2/65*r**5 - 6/13*r**4 + 92/39*r**3 - 60/13*r**2 + 50/13*r. Determine i so that f(i) = 0.
1, 5
Let n(b) be the first derivative of 22/13*b - 2/39*b**3 + 22 - 10/13*b**2. Factor n(p).
-2*(p - 1)*(p + 11)/13
Let p(j) = 5*j + 2*j - 4*j - j + 47. Let i be p(-6). What is k in 14*k + 29*k - i*k**5 - 180*k**2 + 130*k**3 + 26*k + 45*k**4 - 29*k = 0?
-2, 0, 2/7, 1, 2
Let z be 6/((-40)/5 - 1183/(-182))*(-1)/10. Factor -24 + z*w**4 - 6/5*w**2 + 12/5*w**3 - 104/5*w.
2*(w - 3)*(w + 2)**2*(w + 5)/5
Suppose -3132 = -34*f + 5*f. Factor -f*t - 340 + 5*t**2 - 48*t + 61*t - 65*t.
5*(t - 34)*(t + 2)
Let b(x) be the second derivative of -x**7/21 + 16*x**6/105 + 26*x**5/35 - 8*x**4/21 + 4*x - 17. Find f, given that b(f) = 0.
-2, 0, 2/7, 4
Suppose 6*n = -7*n + 1781. Suppose 0 = 3*d - 149 + n. Factor -2/19*q**3 + 2/19*q**2 + 0 + 2/19*q - 2/19*q**d.
-2*q*(q - 1)*(q + 1)**2/19
Suppose 251 - 1211 = -16*k. Factor 240*x**3 + 19*x - 74*x - 15*x**2 - k - 475*x**3 - 25*x + 240*x**3.
5*(x - 6)*(x + 1)*(x + 2)
Let a be 5/(-4) - (-4)/((-64)/(-52)). Solve -k**3 - 16*k + 1098*k**2 + 0*k**3 - 3*k**3 - 1114*k**a = 0.
-2, 0
Let r(x) be the first derivative of -x**6/420 - x**5/10 - 6*x**4/7 + x**3 - 4*x - 270. Let c(v) be the third derivative of r(v). Factor c(p).
-6*(p + 2)*(p + 12)/7
Let a = 420 - 395. Factor 2*u**4 - 8*u**3 - 11*u**3 - 12*u**3 + a*u**3 + u**2 + 3*u**2.
2*u**2*(u - 2)*(u - 1)
Let q(u) be the second derivative of u**6/15 + 61*u**5/10 + 233*u**4/6 + 287*u**3/3 + 114*u**2 - 13*u - 70. Factor q(k).
2*(k + 1)**2*(k + 2)*(k + 57)
Suppose 23*f + 39*f = 124. Let c(n) be the third derivative of 1/36*n**4 + 0 + 2/9*n**3 + 0*n + 6*n**f - 1/90*n**5. What is h in c(h) = 0?
-1, 2
Let m = -1042 + 1049. Let z(v) be the first derivative of -4/3*v + m + 2/9*v**3 - 7/6*v**2. Suppose z(s) = 0. What is s?
-1/2, 4
Let p(q) be the third derivative of 0 + 3/4*q**5 - 125/8*q**3 + 7/80*q**6 + 1/280*q**7 - 191*q**2 + 0*q + 25/16*q**4. Factor p(f).
3*(f - 1)*(f + 5)**3/4
Let i(l) be the third derivative of l**5/270 - 53*l**4/9 + 11236*l**3/3 - 338*l**2. What is s in i(s) = 0?
318
Let a(j) = 405*j**3 + 3459*j**2 + 4661*j + 1697. Let s(m) = -4455*m**3 - 38050*m**2 - 51270*m - 18670. Let x(t) = -65*a(t) -