1
Let p(r) be the third derivative of -r**6/40 - 11*r**5/20 + r**4/8 + 11*r**3/2 + 5626*r**2. What is n in p(n) = 0?
-11, -1, 1
Let j(h) be the second derivative of 0 - 1/42*h**4 - 4/7*h**3 + 0*h**2 + 84*h. Factor j(r).
-2*r*(r + 12)/7
Let m be 1007 + -992 - 2*(-22)/(-4). Suppose -4/9*b**5 - 64/9*b**3 - 40/9*b - 74/9*b**2 - 26/9*b**m - 8/9 = 0. Calculate b.
-2, -1, -1/2
Factor 27600*j + 190440*j**2 + 4000/3 + 438012*j**3.
4*(69*j + 10)**3/3
Suppose -60*q + 6 = -54*q. Let k be 420/50 - 7 - q. What is n in k*n**2 - 6/5*n - 4 = 0?
-2, 5
Factor 1670 - 3338*h - 2438*h**3 + 4844*h**3 - 2404*h**3 + 1666*h**2.
2*(h - 1)**2*(h + 835)
Let v(h) be the first derivative of -15*h**4/16 - 215*h**3/12 + 195*h**2/4 - 40*h - 3292. Solve v(k) = 0.
-16, 2/3, 1
Let v = -129 + 260. Factor -139*y - y**2 + v*y - y**2.
-2*y*(y + 4)
Let j(l) = 3*l - 91. Let b(d) = 7*d + 129. Let m be b(-14). Let q be j(m). Factor 2/5*h**q - 4/5 - 2/5*h.
2*(h - 2)*(h + 1)/5
Suppose -50 - 30 = -2*w + 4*n, 4*n = -w + 10. Suppose 0 = -2*g - 8*g + w. Solve 2/9*r**4 + 10/3*r - 14/9*r**2 - 2/3*r**g + 4 = 0.
-2, -1, 3
Factor -17976*u + 1275*u**2 - 2569*u**2 + 20196036 + 1298*u**2.
4*(u - 2247)**2
Suppose i**5 - 13/4*i**3 + 9/4*i - 1/2 - 1/4*i**2 + 3/4*i**4 = 0. What is i?
-2, -1, 1/4, 1
Let g(v) = -v**3 - 12*v**2 - 33*v - 16. Let i(d) = 3*d**3 + 24*d**2 + 69*d + 33. Suppose -11*z + 172 = 32*z. Let x(y) = z*i(y) + 10*g(y). Factor x(p).
2*(p - 14)*(p + 1)**2
Let p(h) = -47*h**4 + 4*h**3 + 4*h**2 + 4*h + 4. Let y(s) = 48*s**4 - 10*s**3 - 4*s**2 - 3*s - 3. Let f(t) = 3*p(t) + 4*y(t). Determine d so that f(d) = 0.
-2/17, 0, 2/3
Factor 2/3*k**2 + 38*k + 424/3.
2*(k + 4)*(k + 53)/3
Let j(a) = 40*a**3 + 6736*a**2 + 54568*a + 104296. Let w(m) = -3*m**3 - 499*m**2 - 4042*m - 7726. Let n(c) = 5*j(c) + 68*w(c). Find o such that n(o) = 0.
-54, -6, -3
Let i(p) be the second derivative of 73*p - 4/3*p**3 + 0 + 3/2*p**2 + 1/90*p**6 - 2/15*p**5 + 11/18*p**4. Find q, given that i(q) = 0.
1, 3
Let x**2 - 8*x + 48/7 + 1/7*x**3 = 0. Calculate x.
-12, 1, 4
Let a(z) be the third derivative of -z**6/60 + 2*z**5/15 + z**4/4 - 6*z**3 - 1049*z**2. Factor a(f).
-2*(f - 3)**2*(f + 2)
Let k be ((-140)/238)/(185/(-1887)). Solve -104/11*t - 10/11*t**2 + k = 0.
-11, 3/5
Suppose 0 = 3*m - 25*m + 77 - 33. Factor -4/3*u**3 + 12*u**m - 20*u - 100/3.
-4*(u - 5)**2*(u + 1)/3
Let o be -8 + 1952/228 - ((-36)/(-114))/(-3). Solve -16*t + 2*t**2 + 56/3 + o*t**3 = 0 for t.
-7, 2
Let k(t) = -8*t**2 - 512*t + 1819. Let b(o) = -3*o**2 - 171*o + 606. Let m(v) = -17*b(v) + 6*k(v). Let m(u) = 0. What is u?
4, 51
Let o = 61 - 25. Suppose 31*w = 13*w + o. Factor -3/4*q**3 + 0*q - 1/4*q**5 + 0 - 3/4*q**4 - 1/4*q**w.
-q**2*(q + 1)**3/4
Factor 7*i**2 - 541 - 513*i - 4*i**2 - 548 + 1089.
3*i*(i - 171)
Let t(j) be the second derivative of j**5/60 + 5*j**4/24 - 7*j**3/3 - 5*j**2 + 37*j. Let q(y) be the first derivative of t(y). Factor q(o).
(o - 2)*(o + 7)
Let c be (-210)/(-351) + (-84)/(-21)*(-1)/26. Let d(w) be the first derivative of -2 - c*w**3 + 2*w**2 - 8/3*w. Suppose d(t) = 0. Calculate t.
1, 2
Let l(j) be the first derivative of j**4/3 - 8*j**3/3 + 6*j**2 - 124*j + 151. Let z(d) be the first derivative of l(d). Solve z(t) = 0.
1, 3
Find t such that 346/5*t**2 - 18*t**3 + 12/5*t**5 - 206/5*t**4 + 78/5*t - 28 = 0.
-1, 2/3, 1, 35/2
Suppose 74 = -15*f + 404. Factor f*d**2 + 23*d + 112 - 71*d - 26*d**2.
-4*(d - 2)*(d + 14)
Let g(q) = -7*q**3 + 40*q**2 - 19*q - 38. Let d(x) = -36*x**3 + 207*x**2 - 94*x - 191. Let y(m) = 2*d(m) - 11*g(m). Factor y(b).
(b - 3)**2*(5*b + 4)
Suppose -243 = -w + 3*u - 253, -4*u = -16. Factor -3/2*b**3 - 2052*b + 225/2*b**w - 2166.
-3*(b - 38)**2*(b + 1)/2
Let z(h) be the second derivative of -h**6/360 - 7*h**5/60 - h**4 + 133*h**3/3 + h + 11. Let j(u) be the second derivative of z(u). Solve j(n) = 0.
-12, -2
Let s(k) be the third derivative of -5/156*k**4 + 1/390*k**5 + 97*k**2 + 0*k - 14/39*k**3 + 0. Factor s(x).
2*(x - 7)*(x + 2)/13
Let r(g) be the third derivative of 8/3*g**3 - 197*g**2 + 1/3*g**5 + 0*g + 0 - 4/3*g**4 - 1/30*g**6. Factor r(m).
-4*(m - 2)**2*(m - 1)
Let q(r) = r**2 + 17*r + 16. Let p be q(-12). Let o = p + 68. Determine w so that 4*w**2 - 3*w**2 + o*w + 36 + 3*w**2 + 0*w**2 = 0.
-3
What is i in -3/4*i**3 + 131/4*i**2 + 1/4*i**5 - 43/2*i + 0 - 43/4*i**4 = 0?
-2, 0, 1, 43
Let p be (488/30)/((-6)/(-15)). Let g = -562/15 + p. Factor 4/5*d**2 + 16/5 - g*d.
4*(d - 2)**2/5
Let q(y) be the second derivative of 13/4*y**4 - 97*y + 3*y**5 + 0*y**2 + 9/10*y**6 + 0 + y**3. Factor q(j).
3*j*(j + 1)**2*(9*j + 2)
Suppose -4*h - v + 5*v = 0, h + 4*v + 15 = 0. Let s be -12*(1/h + 13/(-39)). Let -20 + s*a - a**3 - 4*a + 20*a**2 - 3*a**3 = 0. What is a?
-1, 1, 5
Let b(u) be the third derivative of 5*u**4 - 1/20*u**5 - 85*u**2 + 0 + 0*u - 200*u**3. Determine d, given that b(d) = 0.
20
Let v(k) = k**2 + 132*k - 14963. Let b be v(73). Factor -556/17*g**b + 2/17*g**5 + 24/17*g**4 + 1656/17*g - 30/17*g**3 - 1296/17.
2*(g - 2)**3*(g + 9)**2/17
Suppose -40*i = -27*i - 65. Determine w so that -140*w - 30*w**4 - 180*w**2 + 4*w**5 + 111*w**3 + 4*w**5 + 248*w - i*w**5 = 0.
0, 2, 3
Let c(q) = 5*q - 35. Let k be c(10). Suppose -k*m + 18*m - 144 = 0. Determine x so that 148*x + 121*x**2 + m*x + 60*x**3 - 2*x**4 + 131*x**2 + 6*x**4 = 0.
-7, -1, 0
Let c be (-10071)/8952*104/(-6). Factor -21/4*f**3 - 45/4*f - 3*f**4 + 0 + c*f**2.
-3*f*(f - 1)**2*(4*f + 15)/4
Let r(g) be the first derivative of -g**7/1260 - g**6/135 + g**5/180 + g**4/9 - 76*g**3/3 - 203. Let y(t) be the third derivative of r(t). Factor y(o).
-2*(o - 1)*(o + 1)*(o + 4)/3
Let z be (16 - 1)*((-3126)/108 + 29)*6/20. Solve 1/4*d**4 + 7/4*d**3 - z*d**5 + 0 - 13/4*d**2 + 3/2*d = 0.
-3, 0, 1, 2
Let i be 851/(-74)*220/(-70) - (-5)/1. Find w, given that -2/7*w**2 + 48/7*w - i = 0.
12
Let r be ((360/(-180))/(-1 + -1 + 3))/(-9). Solve -r*y**2 - 16/9 + 4/3*y = 0.
2, 4
Solve -34012224 - 1/4*b**4 - 1259712*b - 108*b**3 - 17496*b**2 = 0 for b.
-108
Factor -176/15 - 2/15*h**2 - 178/15*h.
-2*(h + 1)*(h + 88)/15
Let u(f) be the first derivative of -2*f**5/15 + 2*f**4/3 + 154*f**3/9 + 748. Determine x so that u(x) = 0.
-7, 0, 11
Let r = 6827 + -6823. Let c(n) be the first derivative of 7 - 1/22*n**r + 0*n - 10/33*n**3 + 6/11*n**2. Find o, given that c(o) = 0.
-6, 0, 1
Let j(g) be the third derivative of -1/40*g**4 + 0 + 44*g**2 - 1/15*g**3 + 0*g - 1/300*g**5. Determine w so that j(w) = 0.
-2, -1
Let q(t) be the first derivative of -t**4/12 - t**3/3 - 4*t - 78. Let u(h) be the first derivative of q(h). Determine l so that u(l) = 0.
-2, 0
Let g(o) be the second derivative of o**6/300 + 17*o**5/150 - 3*o**4/10 - 17*o**2 + 80*o. Let h(l) be the first derivative of g(l). Factor h(v).
2*v*(v - 1)*(v + 18)/5
Let v(w) be the first derivative of 3/4*w**2 - 37 - 3/8*w**4 + 0*w - 3/20*w**5 + 1/4*w**3. Factor v(a).
-3*a*(a - 1)*(a + 1)*(a + 2)/4
Let k(j) = 12*j - 70. Let w be k(8). Let m = 62 + -26. Let -m*q**2 - 14*q**2 - 16*q**3 - 4 - 12*q**3 - w*q = 0. Calculate q.
-1, -1/2, -2/7
What is z in 180*z**4 + 3*z**5 - 9420*z + 138152*z**3 - 68816*z**3 - 68397*z**3 + 16200 - 1962*z**2 = 0?
-54, -5, 2
Let y = 1289744/3 - 429913. Let u = -79/3 + 27. Solve 0 - y*w**2 + 1/3*w**4 + u*w - 1/3*w**5 + w**3 = 0 for w.
-2, 0, 1
Let b = -715 + 722. Let w(p) be the third derivative of 28*p**2 + 1/16*p**4 - 1/420*p**b + 0*p + 0*p**3 + 1/24*p**5 + 0 + 1/240*p**6. Solve w(n) = 0 for n.
-1, 0, 3
Solve 196/5*l**3 - 12/5*l**4 - 1028/5*l - 360 + 2644/5*l**2 = 0.
-9, -2/3, 1, 25
Let g(f) be the second derivative of -5*f**7/42 - 13*f**6/3 + 55*f**5/4 - 35*f**4/3 + 2*f + 99. Factor g(w).
-5*w**2*(w - 1)**2*(w + 28)
Let n(f) be the first derivative of 625*f**4/38 + 3200*f**3/19 + 9216*f**2/19 - 6091. Find p, given that n(p) = 0.
-96/25, 0
Let 276/19*i**2 - 16/19*i + 0 + 70/19*i**3 = 0. Calculate i.
-4, 0, 2/35
Let a(p) = p**3 - 7*p**2 + p + 24. Let c be a(8). Find y, given that -10 + 10 + 109*y**2 - 17*y**2 - 24*y - c*y**3 + 28*y**4 = 0.
0, 3/7, 1, 2
Let a(m) = -m**4 + 53*m**3 - 128*m**2 - 12*m + 168. Let j(h) = 3*h**4 - 213*h**3 + 513*h**2 + 48*h - 672. Let y(r) = -9*a(r) - 2*j(r). Factor y(o).
3*(o - 14)*(o - 2)**2*(o + 1)
Let s(j) be the third derivative of -j**8/40320 + 7*j**6/4320 - j**5/120 - 5*j**4/24 + 67*j**2. Let v(