+ 9/8 - 3/2*d**2 + 3/8*d**4.
3*(d - 1)**2*(d + 1)*(d + 3)/8
Suppose -5*n**3 + 8*n**3 - 6*n - 7*n**3 + 4*n**3 + 3*n**4 + 6*n**3 - 3*n**2 = 0. What is n?
-2, -1, 0, 1
Let b(p) be the third derivative of -p**8/336 - 2*p**7/35 - 19*p**6/60 - 4*p**5/15 + 13*p**4/8 + 14*p**3/3 - 1363*p**2 - 2*p - 1. Let b(q) = 0. Calculate q.
-7, -4, -1, 1
Let f be 6/(-51) + 5500/510. Let u = -479 + 1457/3. Factor -u*n**2 - f*n + 16/3.
-4*(n + 2)*(5*n - 2)/3
Let n = 29 + -25. Let l(v) = v**2 - v. Let o be 2*((-7)/(-2) - 4). Let s(b) = 12*b - 16. Let i(t) = n*l(t) + o*s(t). Let i(z) = 0. What is z?
2
Let c = -7356/7 + 1051. Let w = 28 + -191/7. Determine m so that -6/7*m + w + c*m**2 = 0.
1, 5
Factor 2/7*b**3 + 328/7 - 654/7*b + 324/7*b**2.
2*(b - 1)**2*(b + 164)/7
Factor -1510/13*m + 184/13*m**2 + 1328/13 - 2/13*m**3.
-2*(m - 83)*(m - 8)*(m - 1)/13
Factor -74/3 - 35/3*n + 1/3*n**2.
(n - 37)*(n + 2)/3
Determine p so that -2104 - 7805*p - 209*p**2 - 1238 - 4468 + 105*p**2 + 109*p**2 = 0.
-1, 1562
Let x(l) be the second derivative of -5*l**4/36 - 685*l**3/18 - 550*l**2 + 2720*l. What is f in x(f) = 0?
-132, -5
Let i(w) be the second derivative of -91 - 2*w - 15/2*w**2 - 5/12*w**4 - 10/3*w**3. Let i(u) = 0. What is u?
-3, -1
Find z, given that 0*z + 729*z**4 + 7/2*z**5 + 10816*z**2 + 0 + 38064*z**3 = 0.
-104, -2/7, 0
Let z = 7637/4245 - -4/4245. Let y(m) be the first derivative of 3*m**3 - 3*m**4 + 0*m**2 + 2*m**6 - z*m**5 + 0*m - 10. Solve y(u) = 0 for u.
-1, 0, 3/4, 1
Let g(r) be the second derivative of -r**5/140 - 25*r**4/28 + 38*r**3/21 + 4*r + 16. Factor g(s).
-s*(s - 1)*(s + 76)/7
Let b(q) be the third derivative of -q**7/75 + 1787*q**6/50 - 684038*q**5/25 - 293378*q**4/15 + 15*q**2 + 13*q. Let b(y) = 0. Calculate y.
-2/7, 0, 766
Let r be 2/(-4)*196/(-147)*36. Let k(n) be the third derivative of 1/480*n**6 + 0*n + 1/6*n**4 + 0 + r*n**2 - 1/30*n**5 + 0*n**3. Let k(x) = 0. What is x?
0, 4
Suppose -2*x - 208 = 4*g, -19 + 243 = -2*x + 4*g. Let r be 4*(-147)/x - 5. Factor -16/9 + r*m**2 - 8/9*m + 2/9*m**3.
2*(m - 2)*(m + 2)**2/9
Let t(f) = 10*f - 6. Let b be t(5). Let y = b + -41. What is g in 3 - 3*g**2 + 0*g**3 - 2*g**3 + 5*g**3 - y*g = 0?
-1, 1
Let j(z) = -7*z + 138. Let v be j(18). Let f be (-3)/v*10 - (0 + -4). Determine a so that -f*a - 2 + 5/2*a**2 + 3/2*a**3 - 1/2*a**4 = 0.
-1, 1, 4
Suppose 5*n + y = 20 - 5, 4*n + 3*y - 23 = 0. Suppose 9*h**2 - 7*h**n + 8*h**3 - 6*h**2 = 0. What is h?
0, 1/2
Factor -10/3*m**4 + 32/3*m**2 - 1/3*m**5 + 47/3*m + 6 - 2*m**3.
-(m - 2)*(m + 1)**3*(m + 9)/3
Factor 5/4*r**5 + 17/4*r**2 - 1 + 35/4*r**3 + 23/4*r**4 - r.
(r + 1)**3*(r + 2)*(5*r - 2)/4
Let w = 14239/35635 + 3/7127. Let n(i) be the first derivative of -1/15*i**3 - w*i**2 - 27 + 0*i. Suppose n(a) = 0. What is a?
-4, 0
Suppose 5*a + 2*n - 265 = 0, -3*a + n + 140 = 6*n. Suppose 2*z = -c + 5, 0 = -4*z - 2*c - 2*c + 8. Factor 37*h + a*h + 4*h**z - 104*h - 8.
4*(h - 2)*(h + 1)**2
Let 1/2*c**5 + 0 - 3*c + 5/2*c**2 - 5/2*c**4 + 5/2*c**3 = 0. What is c?
-1, 0, 1, 2, 3
Let r(y) be the first derivative of y**8/7560 + y**7/3780 - y**6/405 - y**5/135 - 17*y**3/3 - 34. Let k(b) be the third derivative of r(b). Factor k(x).
2*x*(x - 2)*(x + 1)*(x + 2)/9
Let d(s) be the second derivative of s**4/3 + 6*s**3 + 36*s**2 - s + 368. Determine h, given that d(h) = 0.
-6, -3
Let m(u) = -4*u**2 - u**3 + 20*u + 4*u**2 + 9*u**2 - 10 - 9*u. Let w be m(10). Solve -2*z**4 + w*z**3 + 12*z**3 + 20*z - 24*z**2 - 4*z = 0 for z.
0, 2
Let h(z) be the first derivative of -z**6/3 - 312*z**5/55 - 190*z**4/11 + 60*z**3/11 + 391*z**2/11 + 12*z + 1750. Determine o so that h(o) = 0.
-11, -3, -1, -2/11, 1
Let u(g) = -3*g + 66. Let a(x) = x**2 - 16*x + 15. Let p be a(16). Let j be u(p). Factor 3*l**2 + j + l + 10*l + 13*l.
3*(l + 1)*(l + 7)
Let q(n) be the second derivative of -13*n - 3/100*n**5 - 1/20*n**4 + 0 + 1/5*n**3 + 0*n**2. Factor q(f).
-3*f*(f - 1)*(f + 2)/5
Let t(j) = 32*j**2 - 62*j + 30. Let s(b) = -11*b**2 + 21*b - 10. Let a = 63 + 2. Let x = -59 + a. Let q(i) = x*t(i) + 17*s(i). Determine l so that q(l) = 0.
1, 2
Solve 1930*i**4 + 19893*i**3 - 10345*i**2 - 37 - 5925*i**4 - 1445*i**5 - 63 - 5888*i**3 + 1880*i = 0.
-5, 2/17, 1
Suppose 115*l + 10*l - 51*l = 148. Factor 4/15*k + 2/5*k**l - 2/15.
2*(k + 1)*(3*k - 1)/15
Let r(a) be the second derivative of -a**4/72 - 317*a**3/18 - 100489*a**2/12 - 44*a + 5. Find c such that r(c) = 0.
-317
Let w = -35 + 59. Factor 26*r**4 + w*r**2 - 80*r - 80 + 5*r**5 + 16*r**2 + 9*r**4 + 80*r**3.
5*(r - 1)*(r + 2)**4
Find j, given that -108 + 1/2*j**4 - 29/2*j**3 + 123/2*j**2 - 63/2*j = 0.
-1, 3, 24
Let j be (20/8 + -3)/((-4)/16). Let 148690*h + 12 - 3*h**3 - 9*h**j - 148690*h = 0. Calculate h.
-2, 1
Let f(i) be the first derivative of i**4/22 + 20*i**3/33 + 3*i**2/11 - 108*i/11 - 4414. Determine w, given that f(w) = 0.
-9, -3, 2
Let l(q) be the second derivative of -q**7/126 + 2*q**6/45 - q**5/15 - q**4/18 + 5*q**3/18 - q**2/3 - 143*q. Factor l(u).
-(u - 2)*(u - 1)**3*(u + 1)/3
Let y be (-4 + 160/35)*14. Let 0 - y - 171*c**3 + 28*c + 191*c**3 - 36*c**2 - 4*c**4 = 0. What is c?
1, 2
Let m(s) = 1572*s**2 + 117438*s + 2128983. Let b(x) = -143*x**2 - 10676*x - 193544. Let a(n) = 45*b(n) + 4*m(n). Factor a(u).
-3*(7*u + 254)**2
Let r(s) = -2*s**2 - 890*s + 97684. Let g(l) = 8*l**2 + 2673*l - 293053. Let i(p) = -2*g(p) - 7*r(p). What is u in i(u) = 0?
221
Let h(v) be the first derivative of v**3/9 + 1129*v**2/3 + 2894. Suppose h(d) = 0. Calculate d.
-2258, 0
Let a(s) be the second derivative of -11*s**5/40 + 8*s**4 + 9*s**3 - 1388*s. Let a(o) = 0. Calculate o.
-6/11, 0, 18
Let r = -13958 - -13973. Let o(f) be the third derivative of -1/72*f**4 + 0 + 2/45*f**5 + 0*f - 4/9*f**3 + 1/360*f**6 - r*f**2. What is v in o(v) = 0?
-8, -1, 1
Let h(u) be the first derivative of -2*u**5/5 - 135*u**4/2 + 2*u**3/3 + 135*u**2 - 1293. Find x such that h(x) = 0.
-135, -1, 0, 1
Let w(c) = 28*c**3 - 29*c**2 + 10*c + 3. Let t(d) = -55*d**3 + 60*d**2 - 20*d - 5. Let n be (-2)/(-11) + 5*(-14)/22. Let l(f) = n*t(f) - 5*w(f). Factor l(j).
5*j*(j - 1)*(5*j - 2)
What is u in 132*u**2 - 3*u**3 + 9*u**3 - 5*u**3 + 0*u**3 - 3*u**3 + 136 + 270*u = 0?
-1, 68
Let b(v) = v**3 - 4*v**2 - 48*v + 3. Let r(p) = -48*p + 2*p**3 - 21*p**2 + 37*p**2 + 2 - 20*p**2. Let l(x) = -2*b(x) + 3*r(x). Factor l(n).
4*n*(n - 4)*(n + 3)
Let j(i) be the third derivative of -i**5/20 - 453*i**4/4 - 2*i**2 + 48*i. Suppose j(w) = 0. What is w?
-906, 0
Let o(a) be the second derivative of -115/2*a**2 - 35/4*a**4 + 0 + 1/4*a**5 - 75/2*a**3 - 143*a. Let o(r) = 0. What is r?
-1, 23
Let m(g) = -14737*g**4 - 2599*g**3 - 153*g**2 + 121*g. Let k(z) = -191580*z**4 - 33786*z**3 - 1989*z**2 + 1635*z. Let i(s) = 2*k(s) - 27*m(s). Factor i(j).
3*j*(17*j + 1)**3
Suppose -237 = -2*a - 4*b - 231, 0 = 4*a - b - 12. Let j(w) be the first derivative of 8/15*w + 0*w**2 - 2/45*w**a + 9. Let j(r) = 0. What is r?
-2, 2
Let -63/2*n**3 - 3/2*n**4 - 207/2*n**2 - 33/2*n + 153 = 0. What is n?
-17, -3, -2, 1
Let p(l) be the second derivative of -l**6/1440 - 2*l**5/15 - 32*l**4/3 + 77*l**3/2 - 8*l - 2. Let z(k) be the second derivative of p(k). Factor z(j).
-(j + 32)**2/4
Let m be (99360/(-384))/(-69)*62/10. Let m*x**3 + 3/8*x**5 - 33*x**2 - 27/4*x**4 - 21/4 + 171/8*x = 0. What is x?
1, 14
Let c(a) be the first derivative of 1/4*a**4 + 7/6*a**3 - 67 + 5/2*a - 7/2*a**2. Solve c(i) = 0.
-5, 1/2, 1
Let i = 2411 + -12053/5. Let j(v) be the first derivative of -2/5*v**4 - 4/5*v**3 - i*v - 4/5*v**2 - 2/25*v**5 - 21. Let j(r) = 0. Calculate r.
-1
Solve -3 + r**4 - 29/4*r**3 + 11*r + 23/4*r**2 = 0.
-1, 1/4, 2, 6
Let w(j) be the first derivative of j**5/15 - 5*j**4/3 - 16*j**3/3 + 40*j**2/3 + 176*j/3 - 3256. What is b in w(b) = 0?
-2, 2, 22
Suppose 0 = -13*k + 73 - 21. Factor -350*q**3 + 41*q**4 + 47*q**4 + 176*q**2 - 30*q**4 - 24*q + 40*q**k.
2*q*(q - 3)*(7*q - 2)**2
Let b be -493 - ((-70)/(-21))/(2/3). Let p = -5476/11 - b. Factor 8/11*q**2 + 0 + 0*q + 10/11*q**3 + p*q**4.
2*q**2*(q + 1)*(q + 4)/11
Let o(m) be the first derivative of -m**6/12 + m**5/6 + 7*m**4/6 - 16*m**3/9 - 16*m**2/3 + 8*m + 293. Find v, given that o(v) = 0.
-2, 2/3, 2, 3
Let 3*o**3 - 9*o**3 + 23*o**2 - 4*o**4 + 2*o**3 - 23*o**2 = 0. What is o?
-1, 0
Let m(i) be the first derivative of 3*i**5/20 + i**4