23 + 29 + 64 + 0.
-5*(d - 1)*(d + 32)
Suppose -78 = -552*a + 1026. Suppose 3 - 5 = 2*w - 2*h, 4*w + 3*h - 24 = 0. Suppose -6/11 - 10/11*v**a + 14/11*v + 2/11*v**w = 0. What is v?
1, 3
Let r be (-598)/(-26) + (-84)/4. Find d such that 8/11 + 2/11*d**3 + 12/11*d**r + 18/11*d = 0.
-4, -1
Suppose -9*q = -8*q - 4. Suppose -4*s = x + 3*x, q*s + 3*x = 2. Solve -45*k**3 - 10 + 50*k**4 + 45*k - 25*k**2 + 6*k**2 - 21*k**s = 0.
-1, 2/5, 1/2, 1
Let p(x) = x**3 - 15*x**2 + 15*x - 17. Let h be p(14). Let m be ((-973)/(-3))/((-1)/h). Factor -m*n**4 + 14*n**2 + 978*n**4 + 30*n**3 + 31*n**2.
5*n**2*(n + 3)**2
Suppose 164/5*x**3 + 0*x - 2/5*x**4 - 64*x**2 + 0 = 0. Calculate x.
0, 2, 80
Suppose 13005*l + 2320 = 13237*l. Factor -5/3*z**2 - 40/3 + l*z.
-5*(z - 4)*(z - 2)/3
Let o(q) be the first derivative of -q**5/4 - 35*q**4/12 - 5*q**3 - 5*q + 33. Let k(l) be the first derivative of o(l). Let k(z) = 0. What is z?
-6, -1, 0
Suppose 3*t + p = -6, t = -3*p + p - 2. Let m be ((-1)/t)/((-1)/(-6)). What is a in 11*a + a**3 + 5*a - 2*a**m - 14*a + a**2 = 0?
-1, 0, 2
Determine w so that 37/4*w**2 - 1/4*w**5 - 9/4*w**3 - 13/4*w**4 + 5/2*w - 6 = 0.
-12, -2, -1, 1
Let t be (10 + 486/(-63))*(3 - (10 + -9)). Suppose 0 + 2/7*g**5 - 96/7*g**2 + 74/7*g**3 + t*g - 3*g**4 = 0. What is g?
0, 1/2, 2, 4
Let o(c) = -44*c - 1. Let d = -5 - -4. Let b be o(d). Solve 0*r**3 - 48*r**2 + b*r**2 + 5*r**4 + 3*r**3 + 7*r**3 - 10*r = 0.
-2, -1, 0, 1
Let r be (-13 - (-9)/(324/76)) + 4 + 7. Solve 1/9*a**4 - 17/9*a**2 + 5/3*a + r*a**3 + 0 = 0.
-5, 0, 1, 3
Let b(q) be the second derivative of -7*q**5/30 - 37*q**4/12 - 10*q**3/3 + 91*q**2/2 - 96*q. Let d(h) be the first derivative of b(h). Factor d(j).
-2*(j + 5)*(7*j + 2)
Factor -2/7*j**2 + 6*j - 76/7.
-2*(j - 19)*(j - 2)/7
Let y(z) be the first derivative of 1/10*z**5 + 242*z + 397/6*z**3 + 231*z**2 - 61 - 21/4*z**4. Find j such that y(j) = 0.
-1, 22
Let y(c) be the first derivative of c**4 + 52*c**3 + 960*c**2 + 7600*c + 12577. Determine z, given that y(z) = 0.
-19, -10
Let i(n) be the second derivative of -n**4/6 - 184*n**3/21 - 52*n**2/7 + 2*n - 549. Find b, given that i(b) = 0.
-26, -2/7
Let s(b) be the first derivative of b**3 - 77*b**2/10 + 2*b + 7393. Determine h, given that s(h) = 0.
2/15, 5
Suppose -55*p + 1/4*p**5 - 23/4*p**2 - 13/4*p**4 + 75 + 51/4*p**3 = 0. Calculate p.
-2, 2, 3, 5
Suppose -124 = -3*u + 62. Let n = 208 + u. Determine p so that 90*p**4 + 1275*p + n*p**2 - 498*p**3 + 202 + 281 - 108 + 33*p**4 - 9*p**5 = 0.
-1, -1/3, 5
Let v(f) be the first derivative of -27/16*f**2 + 25 - 1/8*f**3 + 15/4*f. Factor v(l).
-3*(l - 1)*(l + 10)/8
Let z(r) be the third derivative of -r**7/42 + 11*r**6/4 + 117*r**5/4 + 355*r**4/6 + 598*r**2. Factor z(y).
-5*y*(y - 71)*(y + 1)*(y + 4)
Let x(n) = 7*n**2 - 18502 + 8*n**2 + 18*n**2 - 550*n - 49*n**2. Let r(g) = -30*g**2 - 1099*g - 37003. Let d(i) = 6*r(i) - 11*x(i). Find k, given that d(k) = 0.
-68
Let c(b) = -b**3 + 11*b**2 - 2*b + 26. Let w = 20 + -9. Let y be c(w). Factor -9*k - 10 + 2 + 3*k**2 - y.
3*(k - 4)*(k + 1)
Let a(w) = -23*w**3 - 6*w**2 + 1104*w + 1107. Let s be a(-1). Factor -s*n**2 + 65/2*n + 5/2*n**3 - 15.
5*(n - 6)*(n - 1)**2/2
Let d(s) be the first derivative of 0*s - 71 + 1/3*s**2 - 2/15*s**5 - 2/3*s**3 + 1/2*s**4. Factor d(l).
-2*l*(l - 1)**3/3
Let z(l) be the first derivative of -1/18*l**4 - 20/9*l + 20 + 19/9*l**2 - 16/27*l**3. Determine d, given that z(d) = 0.
-10, 1
Let z = 116689 - 350063/3. Factor -z*j**2 + 8 + 20/3*j.
-4*(j - 6)*(j + 1)/3
Let a(p) = -p**5 - 6*p**4 - 13*p**3 - 12*p**2 - 7*p. Let x = -182 - -179. Let l(z) = -z. Let n(m) = x*l(m) + a(m). Solve n(w) = 0 for w.
-2, -1, 0
Let y(s) be the first derivative of -169*s**5/30 - 1313*s**4/12 + 413*s**3/6 - 12*s**2 - 10768. Let y(p) = 0. Calculate p.
-16, 0, 3/13
Let n(i) be the first derivative of i**5/450 - i**4/180 - 2*i**3/45 + 5*i**2 - 65. Let a(m) be the second derivative of n(m). Let a(k) = 0. What is k?
-1, 2
Let v(g) be the second derivative of -g**4/3 + 280*g**3/3 - 822*g**2 - 5*g + 357. Factor v(y).
-4*(y - 137)*(y - 3)
Let s(c) be the third derivative of -c**8/20160 - 13*c**7/7560 + 37*c**4/24 - 2*c**2 - 32. Let n(m) be the second derivative of s(m). What is f in n(f) = 0?
-13, 0
Let l(k) = 8*k**3 - 1213*k**2 + 45600*k - 22482. Let s(z) = -2*z**3 + 303*z**2 - 11400*z + 5621. Let n(c) = -2*l(c) - 9*s(c). Factor n(t).
(t - 75)**2*(2*t - 1)
Let u be (-3 - 135/(-40)) + 39*14/336. Solve -15/2*b**u + 0 - 9*b = 0 for b.
-6/5, 0
Let y(s) be the first derivative of s**6/66 - 2*s**5/55 - s**4/11 + 2*s**3/33 + 3*s**2/22 - 306. Find i, given that y(i) = 0.
-1, 0, 1, 3
Let n(a) be the first derivative of -20 - 1/39*a**3 + 1/39*a**4 - 2/13*a**2 - 28*a + 1/130*a**5. Let x(k) be the first derivative of n(k). Solve x(f) = 0.
-2, -1, 1
Let k = 4021 - 4021. Let u(z) be the first derivative of -7 + 5/4*z**4 + k*z - z**5 + 0*z**2 + 0*z**3. Find a such that u(a) = 0.
0, 1
Factor 1653/7*b - 1/7*b**2 + 0.
-b*(b - 1653)/7
Let a = 24/247 - 329/5928. Let k(u) be the first derivative of 0*u**3 + 1/8*u**4 - 45 - 1/20*u**5 + 0*u - a*u**6 + 0*u**2. Determine b so that k(b) = 0.
-2, 0, 1
Solve 40*r + 95804*r**5 + 1035*r**4 + 1411*r**3 + 95826*r**5 + 441*r**2 - 191605*r**5 = 0 for r.
-40, -1, -1/5, 0
Let o be (2*-4)/(2646/(-189)). Suppose -o - 18/7*f - 8/7*f**2 = 0. What is f?
-2, -1/4
Let l(j) = -12*j**4 - 8*j**3 - 700*j**2 - 3128*j - 24. Let w(i) = -2*i**4 + i - 3. Let m(t) = l(t) - 8*w(t). Solve m(p) = 0 for p.
-7, 0, 16
Let t(a) be the second derivative of -4/9*a**4 + 7/30*a**5 + 2*a - 1/15*a**6 + 1/126*a**7 + 1/2*a**3 - 1/3*a**2 - 28. Suppose t(x) = 0. Calculate x.
1, 2
Let t(v) be the first derivative of v**3/3 - 73*v**2/2 + 276*v - 119. Factor t(r).
(r - 69)*(r - 4)
Suppose 0 = 74*b - 73*b. Let x = 22906/5 + -4581. Factor b*f - 8/5*f**3 + 0 - x*f**4 - 16/5*f**2.
-f**2*(f + 4)**2/5
Solve 54/5*g - 3/5*g**2 + 57/5 = 0 for g.
-1, 19
Suppose -2*x + 12 + 20 = 0. Let y = 761 + -734. Let -12*c**2 - 4*c**3 - y + x*c - 26 + 53 = 0. Calculate c.
-4, 0, 1
Let m(n) be the first derivative of n**5/20 - n**4/4 - 11*n**3/12 - 3*n**2/4 + 648. Determine x so that m(x) = 0.
-1, 0, 6
Let z(g) be the first derivative of -g**6/240 + g**4/16 + g**3/6 + 3*g**2/2 - 13*g + 22. Let i(s) be the second derivative of z(s). Let i(m) = 0. Calculate m.
-1, 2
Let j(a) be the first derivative of -a**4/20 - 158*a**3/15 - 157*a**2/10 - 10266. Let j(r) = 0. What is r?
-157, -1, 0
Suppose 514*q + 70 + 81 + 114 - 480*q**3 - 197 + 848*q**2 = 0. Calculate q.
-1/4, 34/15
Let f(r) = -22*r**4 - 316*r**3 - 1725*r**2 - 9. Let t(z) = -10*z**4 - 158*z**3 - 864*z**2 - 4. Let b(w) = -4*f(w) + 9*t(w). Factor b(p).
-2*p**2*(p + 6)*(p + 73)
Let z(f) = 2*f**2 + 15*f + 27. Let r be z(-15). Let i = 2210 - r. Solve 3*n - 3*n**2 + i - 1958 = 0 for n.
0, 1
Let u(v) be the second derivative of 4*v + 5/12*v**4 - 95/3*v**3 + 1805/2*v**2 - 2. Solve u(i) = 0.
19
Let g be 61311/41730 + (-2)/(-65). What is s in 99*s**2 + 3267/2*s + 0 + g*s**3 = 0?
-33, 0
Let g = -157 + 173. Suppose -132 - g*q**2 + 123*q - 329*q - 326*q = 0. Calculate q.
-33, -1/4
Let j(y) = 2*y**2 + y. Let v(g) = 7*g**2 - 1240*g - 14 - 10 + 1227*g. Let c(d) = 5*j(d) - v(d). Factor c(u).
3*(u + 2)*(u + 4)
Suppose 5*i = -3*k + 33, -3*k + 45 = 42. Let y(n) be the third derivative of -3/8*n**3 + 0 + i*n**2 + 1/80*n**5 + 0*n - 1/16*n**4. Factor y(z).
3*(z - 3)*(z + 1)/4
Let t(z) = -z**5 - 11*z**4 - 24*z**3 + 34*z**2 + 23*z - 27. Let r(p) = p**5 + 2*p**4 + p**3 - p. Let d(s) = 2*r(s) + t(s). Solve d(u) = 0 for u.
-3, -1, 1, 9
Let x(s) = 21*s + 6. Let j be x(0). What is r in 18*r**2 - 86 - 5*r**2 + 104*r - j*r**2 - 3*r**2 - 22 = 0?
-27, 1
Determine x, given that 20/3 + 1/3*x**4 + 1/3*x - 1/3*x**3 - 7*x**2 = 0.
-4, -1, 1, 5
Suppose -84 = -110*r + 89*r. Let h(i) be the third derivative of 0*i**3 + 6*i**2 + 0 + 0*i**5 + 1/144*i**6 + 0*i - 5/144*i**r. Factor h(l).
5*l*(l - 1)*(l + 1)/6
Let b(g) = 7*g**2 + 16*g. Let m(q) = -32*q + 1836 - 12*q**2 - 1836. Let n(w) = 5*b(w) + 3*m(w). Determine s so that n(s) = 0.
-16, 0
Let g(p) = -p**3 - p. Let f(q) = -q**3 - 6*q. Suppose 3*u + 4 = 1. Let h(r) = 6*r**2 - 2*r - 2. Let l be h(-1). Let s(a) = l*g(a) + u*f(a). Factor s(c).
-5*c**3
Suppose 18 = 5*n - n + 2*d, -3*d = -2*n + 13. Suppose 2*l - 5*i 