 + 4*r**4 - 218*r + 64 - 43*r**3 = 0.
1, 2, 4
Determine c so that -6*c + 10*c**3 - 4*c**5 - 215/3*c**4 + 215/3*c**2 + 0 = 0.
-18, -1, 0, 1/12, 1
Suppose 0 = t - 0*t - 5. Suppose 0 = -3*l - 2*r + 14, 0*l + 2*r = t*l - 2. Determine u so that -2*u + 14*u**3 - 11*u**3 - 7*u - l*u**2 - 4*u**2 = 0.
-1, 0, 3
Suppose 3*f - 3608 + 521 = 0. Solve 186*w**2 + 43*w - 3*w**5 - 147 + 990*w**4 - f*w**4 - 102*w**3 - 2*w + 64*w = 0.
-7, -1, 1
Solve -215/4*v**3 + 161/2*v**4 - 165/2*v**2 + 171/4*v**5 + 11*v + 2 = 0.
-2, -1, -2/19, 2/9, 1
Let r be (-43098)/(-2046) - (-4)/(-62). Suppose 264*f + r = 271*f. Factor 0 + 0*y - 2/9*y**f - 4/9*y**2.
-2*y**2*(y + 2)/9
Solve 8*n**3 + 80*n - 2*n**4 + 85*n**2 - 49*n**2 + 34*n**2 - 200 + 44*n**2 = 0 for n.
-5, -2, 1, 10
Let r = 7 - -1. Find s, given that -6*s + 4 + r + 0*s**2 - 2*s**2 + 8 = 0.
-5, 2
Find z, given that 3305*z**3 - 3145*z**2 - 3300*z**3 + 1336440*z + 1160746 + 421995 - 241121 - 2030*z**2 = 0.
-1, 518
Let z(a) be the first derivative of -a**6/45 + 58*a**5/25 - 167*a**4/30 - 526*a**3/45 + 228*a**2/5 - 136*a/3 - 5564. Determine r so that z(r) = 0.
-2, 1, 2, 85
Let c(a) = a**2 - 14*a - 29. Let i = 63 + -47. Let t be c(i). Determine w so that 113*w**2 + 1 + 0 - 117*w**2 - 7 - 13*w + 3*w**t = 0.
-1, -2/3, 3
Find n such that -51/2*n**2 - 43/6*n**4 + 1/2*n**5 + 14 - 34/3*n + 59/2*n**3 = 0.
-2/3, 1, 6, 7
Let n be 5/(720/32) + 16/9. Factor 4186 + 2726 - 127*z - 1496 - 101*z + 1082 + 2*z**n.
2*(z - 57)**2
Let g be 0*(16 + -2 + -15). Let y(h) be the second derivative of 0*h**2 + 2/25*h**6 + 1/20*h**4 + g - 1/15*h**3 + 17/100*h**5 - 10*h. Let y(r) = 0. Calculate r.
-1, -2/3, 0, 1/4
Suppose 80 = 4*h - 80. Let p be (4/(-10))/((-2)/h). Solve 12*s**4 + 15*s**3 + 9*s**5 + 7*s - 39*s**3 + 6 - 18*s**2 + p*s + 0 = 0.
-2, -1, -1/3, 1
Let b be 6/(-4)*(50 + -52). Factor 36*y**2 + 18 + 61 + 96*y + 74*y**b + 1 - 70*y**3.
4*(y + 2)**2*(y + 5)
Let d(p) = -p**3 + 50*p**2 + 69*p + 40. Let h(j) = 10*j**2 + 14*j + 8. Let q = 210 + -212. Let r(t) = q*d(t) + 11*h(t). Factor r(n).
2*(n + 1)*(n + 2)**2
Let l(r) = -5*r**3 + 263*r**2 - 4080*r + 14398. Let v(i) = 15*i**3 - 788*i**2 + 12240*i - 43193. Let q(f) = 7*l(f) + 2*v(f). Factor q(c).
-5*(c - 24)**2*(c - 5)
Suppose 6*w + 17/4*w**2 - 1/4*w**3 - 27 = 0. Calculate w.
-3, 2, 18
Solve -33/4*a**4 - 267/4*a**2 - 105/2*a + 3/8*a**5 + 75 + 417/8*a**3 = 0 for a.
-1, 1, 2, 10
Let i(u) be the first derivative of u**3 + 27*u**2/2 + 54*u + 1657. Find v such that i(v) = 0.
-6, -3
Let j(w) be the second derivative of -13/18*w**3 - 3*w - 37 - 7/6*w**2 + 1/60*w**5 - 5/36*w**4. Factor j(c).
(c - 7)*(c + 1)**2/3
Let c(l) be the second derivative of l**4/12 - 236*l**3/3 + 27848*l**2 - 4054*l. Factor c(d).
(d - 236)**2
Let n(t) = -21*t**4 - 187*t**3 + 259*t**2 + 55*t - 260. Let p(d) = -d**4 - 3*d**3 + d**2 - 3*d - 1. Let l(y) = -3*n(y) + 66*p(y). Solve l(j) = 0.
-1, 1, 2, 119
Let q(i) be the second derivative of i**7/4200 - i**6/300 + 7*i**4/12 + i**2 - 39*i. Let z(k) be the third derivative of q(k). Factor z(l).
3*l*(l - 4)/5
Determine u, given that -8/5 + 3/5*u**4 + 6*u - 3*u**2 - 2*u**3 = 0.
-2, 1/3, 1, 4
Let f(h) = 9*h**2 + 10*h - 12. Suppose 10*x - 27*x + 102 = 0. Let j(v) = -4*v**2 - 5*v + 6. Let n(t) = x*f(t) + 14*j(t). Let n(i) = 0. What is i?
-6, 1
Suppose 0 = -5*h + 25, -4*k - h + 11 + 2 = 0. Factor -d + 3*d - 8*d - 4*d - 5*d**k.
-5*d*(d + 2)
Suppose 2 = v - 0*v, 218 = 3*m - 5*v. Factor 4*g**2 - 33 + 18 + 15 - m*g.
4*g*(g - 19)
Determine p so that -1378700 + 3395*p - 511*p - 6*p**2 - 700664 + 5*p**2 = 0.
1442
Let b(o) be the first derivative of o**5/20 + 23*o**4/8 + 83*o**3/4 - 805*o**2 + 4900*o - 648. Factor b(u).
(u - 5)**2*(u + 28)**2/4
Factor -84*y**2 - 87*y + 67 + 53 + 77 - 27 + 128*y**3 - 127*y**3.
(y - 85)*(y - 1)*(y + 2)
Let l = 122313/4 + -30577. Factor -3/4*k**2 - l - 9/4*k + 1/4*k**3.
(k - 5)*(k + 1)**2/4
Let k(o) be the first derivative of o**6/18 + 4*o**5/15 - 11*o**4/12 - 62*o**3/9 - 40*o**2/3 - 32*o/3 - 4094. Determine g, given that k(g) = 0.
-4, -2, -1, 4
Let s(l) be the first derivative of 1/6*l**4 - 1/15*l**5 + 1/90*l**6 + 0*l - 13 + l**3 + 0*l**2. Let i(a) be the third derivative of s(a). Factor i(h).
4*(h - 1)**2
Solve 277*q**2 + 34*q**2 - 100*q**4 - 36*q**5 + 24*q**3 - 32*q - 76*q**2 - 91*q**2 = 0.
-2, 0, 2/9, 1
Let t be ((-2)/(-13 - -3))/(4/60). Factor -15*b + 5*b**t + 4*b**2 - 15553 + 15643 - 24*b**2.
5*(b - 3)**2*(b + 2)
Let v(g) be the second derivative of g**4/4 - 63*g**3 - 381*g**2/2 - 828*g. Factor v(z).
3*(z - 127)*(z + 1)
Let a = 11133/70 + -16682/105. Solve 55/3*b + a*b**2 + 3025/6 = 0.
-55
Suppose 9 = 8*z - 31. Find y, given that -5*y**3 + 1634*y**z + 2*y - 1633*y**5 + 2*y = 0.
-2, -1, 0, 1, 2
Let l(d) = 48*d**3 + 4490*d**2 + 10549*d + 5102. Let g(b) = 48*b**3 + 4492*b**2 + 10528*b + 5104. Let w(u) = -3*g(u) + 4*l(u). Factor w(f).
4*(f + 91)*(3*f + 2)*(4*f + 7)
Let s be (-1)/22*-11 - 95/(-2). Let v be s/9 - (1 + -1)*-1. Let -32/3*i - 1/3*i**4 - 8*i**2 - v - 8/3*i**3 = 0. What is i?
-2
Let r(a) be the second derivative of -a**4/28 + 99*a**3/7 - 84*a**2 - 9*a + 161. Factor r(u).
-3*(u - 196)*(u - 2)/7
Factor -670 + 3*i**2 - 1073 + 462 - 1278*i.
3*(i - 427)*(i + 1)
Let x(m) be the first derivative of 0*m**2 + 12 - 2/3*m**6 + m**4 + 12/5*m**5 + 0*m - 4*m**3. Determine o so that x(o) = 0.
-1, 0, 1, 3
Let w = 95/174 + 6121/1218. Determine z so that 1/7*z**2 - w*z - 40/7 = 0.
-1, 40
Let i(g) be the second derivative of g**7/147 + 29*g**6/105 + 163*g**5/70 - 673*g**4/42 + 736*g**3/21 - 256*g**2/7 + g - 486. Factor i(c).
2*(c - 1)**3*(c + 16)**2/7
Let w(h) be the first derivative of 98*h**5/65 - 63*h**4/26 + 10*h**3/13 - h**2/13 - 1692. Factor w(p).
2*p*(p - 1)*(7*p - 1)**2/13
Let p be (1 - (-3)/3)*35. Factor 87*j**4 - 184*j**4 - p + 94*j**4 - 177*j - 51*j**2 - 36*j - 56 + 33*j**3.
-3*(j - 7)*(j - 6)*(j + 1)**2
Factor 3/5*v**3 + 4/5 + 13/5*v**2 + 16/5*v.
(v + 2)**2*(3*v + 1)/5
Let o(c) be the second derivative of c**7/147 - 13*c**6/210 + 29*c**5/140 - 11*c**4/42 - 2*c**3/21 + 4*c**2/7 - 56*c - 3. Find u such that o(u) = 0.
-1/2, 1, 2
Let w = 81016/3 - 27002. Factor 72 - 54*j - 2/3*j**4 + 6*j**2 + w*j**3.
-2*(j - 3)**3*(j + 4)/3
Let c = -111 - -129. Suppose c*w - 30*w + 60 = 0. Let -64/11*l**2 + 0 - 16/11*l**4 - 48/11*l**3 - 32/11*l - 2/11*l**w = 0. What is l?
-2, 0
Let b(w) be the first derivative of 52*w**2 - 89 + 17/6*w**3 - 338/3*w + 1/24*w**4. Determine x so that b(x) = 0.
-26, 1
Suppose 93*u = 95*u, 4*d - 1620 = -4*u. Let l = 815/2 - d. Factor 0 + 0*z**2 - l*z**4 + 10*z**3 + 0*z.
-5*z**3*(z - 4)/2
Let z(a) be the second derivative of a**4/10 + 338*a**3/15 + 224*a**2/5 - 5*a - 117. Factor z(f).
2*(f + 112)*(3*f + 2)/5
Let m be (7860/(-8253))/((-10)/24). Factor 120/7 + 68*o - m*o**2.
-4*(o - 30)*(4*o + 1)/7
Let u(i) be the second derivative of -i**5/20 + 5*i**4/12 + 25*i**3 - 18*i - 45. Factor u(g).
-g*(g - 15)*(g + 10)
Let l = -27978/7 + 3997. Factor l*q**4 + q**3 + 0 + 15/7*q**2 + 9/7*q.
q*(q + 1)*(q + 3)**2/7
Let p(t) be the second derivative of t**5/110 + 2*t**4/33 - t**3/11 - 18*t**2/11 - 15*t + 25. Factor p(l).
2*(l - 2)*(l + 3)**2/11
Let f = 4 + 0. Suppose 0 = -3*v - 3*c + 2*c + 14, v + 17 = f*c. Suppose -135*p - 90*p**2 + 13*p**5 + 35*p**4 - 8*p**5 + 17 + 118 + 50*p**v = 0. Calculate p.
-3, 1
Let t = -150/119 - -16463/1071. Let g = t - 115/9. Factor -4/3*r**4 + 4/3*r**2 + g*r - 4/3*r**3 + 0.
-4*r*(r - 1)*(r + 1)**2/3
Let q(h) be the first derivative of -h**5/12 + 5*h**4/24 + h**2 - 37*h - 46. Let z(g) be the second derivative of q(g). Suppose z(b) = 0. What is b?
0, 1
Factor -468*q**2 - 8050*q + 3653*q + 2972*q - 954 + 3*q**3.
3*(q - 159)*(q + 1)*(q + 2)
Let a(g) be the first derivative of g**4/14 - 370*g**3/21 + 366*g**2/7 - 9252. Factor a(m).
2*m*(m - 183)*(m - 2)/7
Let r = 121 + -843/7. Let s = 5188 + -5188. Find w such that 4/7*w**2 + r*w + s = 0.
-1, 0
Let t(s) = 2*s**2 - 83*s + 977. Let k(h) = h - 9. Let i(w) = -18*k(w) + 2*t(w). Let i(z) = 0. Calculate z.
23
Let v be ((-25 + 25)/22)/(-1). Factor 0*f - 2/13*f**5 + v + 4/13*f**2 + 0*f**4 + 6/13*f**3.
-2*f**2*(f - 2)*(f + 1)**2/13
Factor 148/9*y + 1/3*y**2 + 64/3.
(y + 48)*(3*y + 4)/9
Suppose -53 = 3*o - 227. Let c = 61 - o. Determine p, given that -317*p**3 - 6*p**4 + 3*p**4 + 311*p**c = 0.
-2, 0
Suppose 36*w + 1