t v(l) be the third derivative of 361*l**7/420 + 19*l**6/6 + 73*l**5/20 + 5*l**4/6 + l**3/12 - 375*l**2 - 1. Factor v(g).
(g + 1)**2*(19*g + 1)**2/2
What is i in 18 + i**2 + 122 - 48 + 27*i = 0?
-23, -4
Let j be -5 + -16*10/(-20). Let c be (-50)/(-225)*j/3. Determine x so that -2/3*x**3 + c*x**2 - 4/9 + 2/3*x + 2/9*x**4 = 0.
-1, 1, 2
Let i(w) be the second derivative of -w**7/630 + 11*w**6/180 - w**5/3 - 17*w**4/12 - 36*w. Let v(j) be the third derivative of i(j). What is d in v(d) = 0?
1, 10
Suppose 0 = -2*r + 8, -3*n = 2*r + 176 - 193. Let f(k) be the first derivative of 5/16*k**4 - 1 + 5/4*k**n + 0*k**2 - 5*k. What is z in f(z) = 0?
-2, 1
Let s = -120727 - -120731. Factor 1/2*c**s + c - 1/2*c**2 + 0 - c**3.
c*(c - 2)*(c - 1)*(c + 1)/2
Let d = 21 + -21. Suppose c - 1 = 2*n - d*c, n - 17 = -3*c. Find j such that 7*j**2 + j + 3*j - n*j**2 - j**2 = 0.
-1, 0
Find i such that 32*i - 120*i**2 + 15050336 - 144*i**3 - 38*i**4 - 15050336 = 0.
-2, 0, 4/19
Let n be (-77)/(-5775) + (-1314)/(-2700). Suppose -2/3*f + n*f**2 + 0 + 1/6*f**3 = 0. What is f?
-4, 0, 1
Find q, given that 746/17*q**3 + 0 - 8/17*q - 698/17*q**4 + 192/17*q**5 - 232/17*q**2 = 0.
-1/32, 0, 2/3, 1, 2
Solve -1979*y + 1101*y**3 + 259*y**4 - 709*y + 1186*y**2 + 938*y**2 - 247*y**4 - 1072 + 523*y**3 = 0.
-134, -2, -1/3, 1
Determine v, given that -33*v**4 - 388*v**2 + 38*v**4 - 1200*v + 1584 - v**4 = 0.
-6, 1, 11
Let b(t) be the second derivative of -5/12*t**4 + 0*t**3 + 0 + 0*t**2 + 61*t. Factor b(g).
-5*g**2
Let p(g) be the third derivative of -g**5/20 + 265*g**4/8 - 263*g**3 + 2*g**2 + 721. Factor p(k).
-3*(k - 263)*(k - 2)
Suppose -5*g + 199 = -2*a, -g - 2*g = 4*a + 463. Let x be 315/a*(-13)/((-195)/(-20)). Find h, given that -x*h**2 + 5/4*h**4 + 5/2 + 5/4*h**3 - 5/4*h = 0.
-2, -1, 1
Let c(m) be the third derivative of 221*m**6/960 + 11*m**5/12 + 217*m**4/192 - m**3/24 + 9*m**2 - 12*m. Suppose c(r) = 0. What is r?
-1, 2/221
Suppose -c + c**3 - 936536 + 936558 - 28*c**2 + 6*c**2 = 0. What is c?
-1, 1, 22
Let o = 4193/9 - 20749/45. Find d such that -d**2 - o - 62/5*d = 0.
-12, -2/5
Suppose 18*b = 25*b + 70. Let k be 1/b - ((-45)/(-10) - 5). Factor -8/5*s + k*s**2 + 8/5.
2*(s - 2)**2/5
Let c(t) = -10*t**4 - 340*t**3 + 25*t**2 + 1085*t + 740. Let s(a) = a**4 - 4*a**3 - 2*a**2 + a - 4. Let v(u) = -c(u) - 5*s(u). Let v(l) = 0. What is l?
-72, -1, 2
Let x(p) be the first derivative of -p**6/54 + 2*p**5/15 + 5*p**4/12 + 8*p**3/27 - 5251. Suppose x(n) = 0. Calculate n.
-1, 0, 8
Suppose -30 = -6*d - 0*d. Suppose -3*o - 2*l + 58 = o, -d*l = -2*o - 1. Factor -8 - 12*j**2 - 2*j + o*j - 21*j - 9*j + 4*j**3 + 4*j**4.
4*(j - 2)*(j + 1)**3
Let r(p) be the first derivative of p**3/5 - 51*p**2/5 - 456*p/5 - 611. Find d, given that r(d) = 0.
-4, 38
Let n(v) = -2*v**2 + 22*v - 57. Let c be n(5). Let l(x) be the second derivative of 0 + 12*x - 1/60*x**4 - 1/6*x**c - 3/5*x**2. Factor l(w).
-(w + 2)*(w + 3)/5
Let x = 14 + 0. Suppose -2*g = 3*a - 16, 4*a + 2*g = 2*a + x. What is z in z + z**4 - 30*z**2 + 14*z**2 + 2 + 13*z**a - z**3 = 0?
-1, 1, 2
Let c be (4/72*15)/((-200)/(-32)*4). Let p(z) be the third derivative of 0*z - c*z**5 + 1/6*z**4 - 1/3*z**3 + 0 + 17*z**2. Let p(l) = 0. What is l?
1
Let i(n) be the second derivative of n**7/7560 + n**6/360 - 5*n**4 + 26*n - 1. Let x(g) be the third derivative of i(g). Find t such that x(t) = 0.
-6, 0
Let k(c) be the third derivative of c**6/240 - 21*c**5/20 + 80*c**4 + 2048*c**3/3 - 1962*c**2. Factor k(l).
(l - 64)**2*(l + 2)/2
Let f(g) be the first derivative of 5*g**4/12 + 25*g**3/6 + 15*g**2 - 65*g + 68. Let h(i) be the first derivative of f(i). Suppose h(y) = 0. Calculate y.
-3, -2
Let v be (1562/55)/(2611/1865). Factor -v*q + 2/7*q**3 - 68/7*q**2 - 72/7.
2*(q - 36)*(q + 1)**2/7
Suppose -k = 2*d - 7, -2*d + 6*k + 19 = 3*k. Factor 73*t**2 + 12*t**3 - 2250 + 10*t**5 - 18*t**4 - 12*t**d + 307*t**2 + 150*t.
-2*(t - 3)**2*(t + 5)**3
Let d(h) be the second derivative of 14/45*h**6 - 13*h + 0*h**2 + 8 + 14/3*h**4 - 61/30*h**5 - 4*h**3 - 1/63*h**7. Factor d(m).
-2*m*(m - 6)**2*(m - 1)**2/3
Let i be 1/((-12)/(-16)*(-4)/(-6)). Suppose -n + i*o + 10 + 6 = 0, 68 = 2*n + 5*o. Factor l**3 + 24*l - 7*l + 4*l**4 - 5*l**3 - 28*l**2 + 35*l - n.
4*(l - 2)*(l - 1)**2*(l + 3)
Factor -2730*n - 1/4*n**5 + 900 + 123/4*n**4 + 11161/4*n**2 - 3963/4*n**3.
-(n - 60)**2*(n - 1)**3/4
Let w(x) be the second derivative of x**4/4 - 4013*x**3 + 48312507*x**2/2 - 13953*x. Factor w(s).
3*(s - 4013)**2
Suppose 18*t + 24 = 8*s + 14*t, 0 = -4*s + 4*t + 16. Let l(c) be the first derivative of -1/8*c**4 + 1/4*c**2 + s*c - 2/3*c**3 + 21. What is r in l(r) = 0?
-4, -1, 1
Factor -3634/5*h - 728*h**2 - 908/5 - 8/5*h**3.
-2*(h + 454)*(2*h + 1)**2/5
Let f(h) = -45*h**3 - 7635*h**2 - 50*h + 25. Let p(i) = 11*i**3 + 1909*i**2 + 12*i - 6. Let q(j) = 6*f(j) + 25*p(j). Factor q(u).
5*u**2*(u + 383)
Let c(l) be the first derivative of l**7/63 + l**6/45 - 85*l + 73. Let u(r) be the first derivative of c(r). Factor u(y).
2*y**4*(y + 1)/3
Let s(q) be the first derivative of 3*q**4/4 - 232*q**3 + 20184*q**2 - 1657. Factor s(r).
3*r*(r - 116)**2
Find a, given that a**4 - 139*a**2 + 6700*a + 35*a**5 - 2155 - 1041*a**2 + 2859*a**4 - 6735*a**3 + 475 = 0.
-84, -1, 2/7, 1, 2
Let u be (-1)/8 - 1387/(-152). Suppose -24 = -u*y + 3. Factor 2*r + r**y + 2*r**4 + 2*r**2 + 2*r**3 + 4*r**2 + 3*r**3.
2*r*(r + 1)**3
Let d(w) be the first derivative of w**4/18 - 7*w**3/3 - 22*w**2/3 + 34*w + 2. Let t(s) be the first derivative of d(s). Factor t(b).
2*(b - 22)*(b + 1)/3
Let d be 2*3 + 11/((-44)/12). Factor -2*t**5 + 152*t**d - 12*t**2 - 40*t**4 - 190*t**3 - 12*t**5.
-2*t**2*(t + 1)**2*(7*t + 6)
Let i(z) be the third derivative of z**6/240 + z**5/40 - z**4/12 - 388*z**2. Factor i(y).
y*(y - 1)*(y + 4)/2
Let k(y) = -16*y**2 + 239*y - 861. Let u(r) = 18*r**2 - 238*r + 872. Let v(c) = -20*k(c) - 18*u(c). What is m in v(m) = 0?
-127, 3
Suppose -y - 8*v - 14 = -4*y, -5*v = 5*y - 5. Factor 6*u - 1/3*u**y - 27.
-(u - 9)**2/3
Let o(p) be the second derivative of p**7/945 + p**6/540 - 8*p**5/135 + 5*p**4/27 + 103*p**2 - 220*p. Let l(j) be the first derivative of o(j). Factor l(d).
2*d*(d - 2)**2*(d + 5)/9
Let c = 93008 + -651052/7. Factor -c*t**3 - 16/7*t**2 - 20/7*t - 8/7.
-4*(t + 1)**2*(t + 2)/7
Let b(o) be the second derivative of 64*o**5/5 - 271*o**4/6 + 158*o**3/3 - 15*o**2 + 3*o + 3060. Factor b(y).
2*(y - 1)**2*(128*y - 15)
Let w = -10046 - -10046. Let f(i) be the second derivative of 0 + 11/40*i**5 + w*i**2 + 11*i + 1/3*i**3 + 7/12*i**4 + 1/24*i**6. Factor f(u).
u*(u + 2)**2*(5*u + 2)/4
Let y(n) be the third derivative of 5*n + 2*n**2 - 1/15*n**5 - 1/3*n**4 + 0 + 10*n**3. Find l such that y(l) = 0.
-5, 3
Find h such that 136/11 - 8/11*h**2 + 2/11*h = 0.
-4, 17/4
Let y = -2906 - -29063/10. Let g(v) be the third derivative of -7*v**2 - y*v**5 + 0 - 1/10*v**6 - 1/2*v**4 - 1/2*v**3 + 0*v - 1/70*v**7. Factor g(b).
-3*(b + 1)**4
What is o in -1/6*o**2 - 244 - 191/6*o = 0?
-183, -8
Let q(v) = 2*v**2 + 198*v - 200. Let n(w) be the third derivative of w**5/12 + 595*w**4/24 - 100*w**3 - 12*w**2 - 8*w. Let m(z) = 6*n(z) - 17*q(z). Factor m(g).
-4*(g - 50)*(g - 1)
Let h(z) be the third derivative of z**5/300 + 241*z**4/60 + 108*z**2 - 7. Factor h(j).
j*(j + 482)/5
Let h(i) be the first derivative of -5*i**9/1728 + 3*i**8/448 - i**7/336 + i**3/3 - 25*i**2 - 167. Let n(p) be the third derivative of h(p). Factor n(s).
-5*s**3*(s - 1)*(7*s - 2)/4
Let k(g) = -g**3 - 3*g**2 + 2. Let o(p) = p**4 + 102*p**3 + 2310*p**2 + 22385*p + 77176. Let w(x) = 44*k(x) + 4*o(x). Determine h, given that w(h) = 0.
-58, -11
Let s(v) be the first derivative of -4*v + 2 + 0*v**4 + 1/4*v**3 - 3/40*v**5 + 1/40*v**6 - 3/8*v**2. Let i(y) be the first derivative of s(y). Factor i(t).
3*(t - 1)**3*(t + 1)/4
Suppose -123 = -27*q + 66. Suppose 0 = -5*u + q*u - 4. Determine x so that -1/7*x**u + 0*x + 0 + 1/7*x**3 = 0.
0, 1
Let a(t) = -6*t**4 - 166*t**3 + 997*t**2 - 2123*t + 1429. Let r(i) = -2*i**4 - 56*i**3 + 332*i**2 - 708*i + 476. Let d(y) = 8*a(y) - 22*r(y). Factor d(s).
-4*(s - 2)**3*(s + 30)
Suppose -4*u - 4*w = -24, 0 = -4*u - 3*w + 17 + 4. Suppose 4*m - 29 = u*q - 8*q, 0 = -2*m - 8. Factor -4*v - v**2 - 5 + 10 - q.
-(v + 2)**2
Let l = -518 + 518. Suppose l = -30*w + 34