or 141*g + 57/2*g**2 + 180 + 3/2*g**3.
3*(g + 2)*(g + 5)*(g + 12)/2
Let a = 281788/42261 + -16/14087. Let -a - 2/9*x + 2/9*x**3 + 20/3*x**2 = 0. What is x?
-30, -1, 1
Let h(g) be the second derivative of -g**4/84 - 433*g**3/3 - 1312423*g**2/2 + 5738*g + 1. Factor h(b).
-(b + 3031)**2/7
Let m(i) = 17*i**2 + 7*i - 12. Let d be m(-8). Let c = d + -5099/5. Factor -c - 2/5*k**2 - 3/5*k.
-(k + 1)*(2*k + 1)/5
Find q such that 87/5*q + 288/5 - 3/5*q**2 = 0.
-3, 32
Let z be ((-267)/(-2))/(48/11264). Find x, given that -6*x**2 - z*x + 4 + 31326*x + 0 = 0.
-1, 2/3
Let r(m) be the third derivative of 2*m + 0 - 7/40*m**5 + 7*m**2 + 0*m**3 + 1/140*m**7 + 3/8*m**4 + 0*m**6. Determine i, given that r(i) = 0.
-3, 0, 1, 2
Suppose 1/4*a**3 + 62001 + 62250*a + 997/4*a**2 = 0. What is a?
-498, -1
Let a(i) be the second derivative of -8*i**6/15 + 638*i**5/5 - 33707*i**4/4 - 25520*i**3/3 - 3200*i**2 - i + 311. Factor a(d).
-(d - 80)**2*(4*d + 1)**2
Factor -3993*a + 1573/4*a**2 - 33/2*a**3 + 1/4*a**4 + 14641.
(a - 22)**2*(a - 11)**2/4
Solve 234 - 10 - 173*w**2 + w**5 - 8014233*w - 277*w**3 - 51*w**4 + 8014509*w = 0 for w.
-4, -1, 1, 56
Let t(s) be the first derivative of s**4/18 + 1942*s**3/9 + 942841*s**2/3 + 1830997222*s/9 + 1726. Factor t(n).
2*(n + 971)**3/9
Let n(y) be the third derivative of y**6/30 - 3*y**5/5 - 35*y**4/3 + 1268*y**2. Solve n(m) = 0.
-5, 0, 14
Let k be (1832 + 2/1)*45/(-150). Let j = k - -552. Factor -j*r**4 + 0*r + 3*r**5 + 0 + 0*r**2 - 6/5*r**3.
3*r**3*(r - 1)*(5*r + 2)/5
Let o(g) be the third derivative of -g**6/60 + 467*g**5/30 - 233*g**4/6 + 2541*g**2. Solve o(z) = 0 for z.
0, 1, 466
Let k = -3537 + 3969. Let f(j) be the first derivative of 108*j**2 - 60*j**3 - 5 + k*j + 17/2*j**4 - 2/5*j**5. Factor f(h).
-2*(h - 6)**3*(h + 1)
Let z(f) be the second derivative of -f**5/40 - 13*f**4/6 - 64*f**3 - 576*f**2 - 2164*f. Factor z(t).
-(t + 4)*(t + 24)**2/2
Let z(x) be the first derivative of -x**4/14 + 88*x**3/21 - 123*x**2/7 + 4254. Factor z(d).
-2*d*(d - 41)*(d - 3)/7
Let z be 13/21 + 3/(-63)*6. Let u(c) = 32*c - 30. Let w be u(1). Suppose 5/3*h**w + 2/3*h + 4/3*h**3 + z*h**4 + 0 = 0. What is h?
-2, -1, 0
Let x(p) be the third derivative of -p**5/120 + 21*p**4/16 - 61*p**3/6 - 1405*p**2. Factor x(n).
-(n - 61)*(n - 2)/2
Suppose 0 = -28*q - 46*q + 44*q + 120. Suppose -26 - 236/13*x**2 - 2/13*x**q - 48/13*x**3 + 48*x = 0. Calculate x.
-13, 1
Let z(s) be the third derivative of 1/3*s**6 + 0*s + 1 - 40/3*s**3 + 48*s**2 - 5/3*s**4 + 1/42*s**7 + 5/4*s**5. Find j, given that z(j) = 0.
-4, -1, 1
Suppose 96 + 189/2*t**2 - 174*t - 69/4*t**3 + 3/4*t**4 = 0. Calculate t.
1, 2, 4, 16
Let p be 4/((-28614)/3576 + 8). Let h = -2384 - p. Factor -1/6*q**3 - 1/6*q**4 + 1/6*q**2 + 1/6*q + h.
-q*(q - 1)*(q + 1)**2/6
Let q(n) = -5*n**2 + 21*n - 10. Let r = -217 - -220. Let l(x) = -10*x**2 + 40*x - 20. Let b(f) = r*l(f) - 5*q(f). Suppose b(s) = 0. What is s?
1, 2
Let n = 81 + -77. Suppose -n*g = -14*g + 40. Suppose -11 + g*v**2 - 7 + 32*v + 35 + 11 = 0. What is v?
-7, -1
Find h such that 6*h + 44 - 47*h**2 - 7/2*h**5 + 12*h**4 + 13/2*h**3 = 0.
-11/7, -1, 2
Let k(f) be the second derivative of -f**7/1008 - 5*f**6/288 - f**5/12 + f**4/3 - 2*f**3/3 + 12*f. Let d(x) be the third derivative of k(x). Factor d(w).
-5*(w + 1)*(w + 4)/2
Let q = 235/366 + -29/61. Let w(x) be the second derivative of -8*x + 1/80*x**5 - 1/48*x**4 + 0 - q*x**3 + 1/2*x**2. Factor w(b).
(b - 2)*(b - 1)*(b + 2)/4
Let n(r) be the first derivative of r**5/10 + 5*r**4/3 + 3*r**3 - 133*r + 17. Let v(i) be the first derivative of n(i). Factor v(y).
2*y*(y + 1)*(y + 9)
Let n = 4231 - 80387/19. Let c(p) be the second derivative of n*p**2 - 6*p + 1/190*p**5 + 0 - 1/57*p**4 - 1/57*p**3. Let c(g) = 0. Calculate g.
-1, 1, 2
Let y(z) be the second derivative of 2*z**7/21 + 12*z**6/5 - 43*z**5/5 - 56*z**4/3 + 56*z**3 + 160*z**2 + 3*z - 5. Solve y(k) = 0.
-20, -1, 2
Let r(n) be the second derivative of n**9/3780 - n**8/840 - 13*n**7/630 - n**6/18 + 25*n**4/4 - 4*n - 5. Let m(z) be the third derivative of r(z). Factor m(p).
4*p*(p - 5)*(p + 1)*(p + 2)
Suppose 35 = 13*z - 4. Suppose -g = 5*i - 15, -2*g - 3*g + 35 = 5*i. Solve -2*w**4 + 87*w**i - z*w**4 - 67*w**2 = 0.
-2, 0, 2
Let b(f) = -2*f**4 - 22*f**3 + 56*f**2 - 41*f - 3. Let x(s) = 2*s**4 + 24*s**3 - 54*s**2 + 40*s + 4. Let v(u) = -4*b(u) - 3*x(u). Suppose v(p) = 0. Calculate p.
-11, 0, 1, 2
Suppose 81/2*a**2 + 392 + 252*a = 0. Calculate a.
-28/9
Let x(j) = 5*j**3 - 140*j**2 - 1345*j - 1240. Let t(h) = h**3 - 24*h**2 - 224*h - 208. Let p(g) = 25*t(g) - 4*x(g). Suppose p(n) = 0. Calculate n.
-2, 12
Let t = 18 - 11. Determine m so that 5 - 4*m**2 + 28*m - 23 - 13 + t = 0.
1, 6
Factor -833/4*a + 418*a**2 + 26 - 4*a**3.
-(a - 104)*(4*a - 1)**2/4
Let l(k) be the first derivative of -2*k**3/3 + 39*k**2 - 148*k + 864. Factor l(c).
-2*(c - 37)*(c - 2)
Let f = 1589 + -779. Let h = 810 - f. Find v such that 0*v**3 - 8/19 - 2/19*v**4 + 10/19*v**2 + h*v = 0.
-2, -1, 1, 2
Let g be (-1)/(-3) - (-6 + (-44662)/306). Let k = -1342/9 + g. Let -4/17*q - 54/17*q**5 + 18/17*q**3 + 14/17*q**2 - k*q**4 + 0 = 0. What is q?
-1, -2/3, 0, 1/3
Let y = 451 - 449. Suppose 0 = -0*m + 3*m - 6. Suppose -m + 2 + d**2 - 3 - y*d = 0. Calculate d.
-1, 3
Suppose -37*j + 6*j + 1395 = 0. Let x be (10/4*-2)/(-1). Suppose -10*u**2 - 9*u**x - 41*u**5 + 11*u**3 + j*u**4 + 4*u**3 = 0. Calculate u.
-1/2, 0, 2/5, 1
Let l be ((-2)/(-25))/((-1331)/(-55)). Let n = 29284/605 - l. Suppose -88/5*b + 8/5 + n*b**2 = 0. Calculate b.
2/11
Let z = 726 + -723. Suppose 4*l + 5*y + 8 = 15, l + z*y = 0. Let 6*j**3 - 3/2*j**5 + 0 - 3*j**4 - 9/2*j + l*j**2 = 0. What is j?
-3, -1, 0, 1
Let p(v) = -2*v**2 + 74*v + 5. Let a be p(37). Determine t so that -12*t**4 - 26*t**2 - t**2 - 9*t**2 - 3*t**a - 24*t**2 + 21*t + 54*t**3 = 0.
-7, 0, 1
Let l(b) be the third derivative of b**5/90 - 11*b**4/216 - 205*b**3/54 - 3*b**2 - 157*b + 3. Determine m so that l(m) = 0.
-5, 41/6
Let c(q) be the third derivative of -8/25*q**5 + 0*q**3 + 0*q + 1/200*q**6 + 0 - 87*q**2 - 1/10*q**4 + 4/175*q**7. Suppose c(m) = 0. Calculate m.
-2, -1/8, 0, 2
Let y(m) be the second derivative of -m**5/15 - 152*m**4/9 - 200*m**3/3 + 268*m. Suppose y(j) = 0. What is j?
-150, -2, 0
Let q = 349 + -346. Suppose 3*z**5 - 20*z**3 - 147*z**2 - 60*z - 24*z**4 + 48 + 123*z**2 + 77*z**q = 0. Calculate z.
-1, 1, 2, 4
Let b(t) be the third derivative of -t**5/360 - 11*t**4/144 - 5*t**3/18 + 716*t**2. Factor b(f).
-(f + 1)*(f + 10)/6
Suppose 72883*y - 3*r = 72880*y - 42, 3*y - r = -8. Suppose 2/5*j**y - 14/5 - 2*j**2 - 26/5*j = 0. What is j?
-1, 7
Let l(h) = -h + 10. Let c be l(6). Factor 10*d**2 - 8*d**3 + 6*d**2 + 8 - 7*d**4 + 8*d**c - 8.
d**2*(d - 4)**2
Suppose 3*c + 90 = 5*u, -4*u = -3*u - 2*c - 11. Let m be 7*1 + u/(-7). Factor 3 + 0*j**4 + j + 2*j**m + 3*j**2 - 5*j**3 + 0 - 4.
(j - 1)**3*(2*j + 1)
Let v(m) = -m**3 + 26*m**2 - 63*m - 40. Let t be v(24). Let h = -400 - t. Factor h*z - z**2 + 5/2*z**4 + 3/2*z**3 + 0.
z**2*(z + 1)*(5*z - 2)/2
Suppose 271*y - 4790 + 4248 = 0. Suppose 7/4*f**3 - 10*f - 3 + 9/4*f**y = 0. Calculate f.
-3, -2/7, 2
Solve 50/7*b**2 - 86/7*b - 138/7 - 2/7*b**3 = 0.
-1, 3, 23
Suppose -2*k - 3*j = -80, 18 = -k - 3*j + 64. Find z, given that 19*z**2 + z + 7 + 14 - k*z + z**3 - 4*z - 4*z = 0.
-21, 1
Let h(q) be the third derivative of 5*q**8/84 + 25*q**7/42 + 11*q**6/12 - 5*q**5/3 - 65*q**4/12 - 25*q**3/6 - 3*q**2 + 165. Suppose h(f) = 0. Calculate f.
-5, -1, -1/4, 1
Let p be (1*4/(-610))/(5/100). Let h = p - -772/305. Factor 14/5 - 2/5*v**2 + h*v.
-2*(v - 7)*(v + 1)/5
Let i(z) be the second derivative of -z**5/180 - 7*z**4/72 - 2*z**3/3 + 57*z**2 - 113*z. Let r(d) be the first derivative of i(d). Find b such that r(b) = 0.
-4, -3
Let y(q) be the first derivative of q**5/20 + q**4/8 - q**3/3 - q**2/4 + 3*q/4 + 969. What is w in y(w) = 0?
-3, -1, 1
Let l(n) be the first derivative of -n**8/336 - n**7/210 + n**6/120 + n**5/60 + 43*n**2 + 82. Let y(f) be the second derivative of l(f). What is i in y(i) = 0?
-1, 0, 1
Let y(c) be the second derivative of -c**4/6 + 37*c**3 + 460*c**2 - 2991*c. Factor y(n).
-2*(n - 115)*(n + 4)
Let r(l) be the second derivative of -l**4/4 + 185*l**3/2 - 110*l - 1. Factor r(q).
-3*q*(q - 185)
Find x, given that 320*x**2