15 - o**3/2 + 109*o**2. What is l in w(l) = 0?
1, 15
Let r(u) = -u**3 + u**2. Let o(k) = -4*k**3 - 84*k**2 + 1350*k - 6750. Suppose -7*a = 1 - 8. Let n(z) = a*o(z) - 6*r(z). Find y such that n(y) = 0.
15
Let v(a) be the second derivative of -a**7/5880 + a**6/560 - a**5/140 + a**4/2 - 8*a. Let n(t) be the third derivative of v(t). Factor n(z).
-3*(z - 2)*(z - 1)/7
Let v(g) = 2*g**2 + 20*g + 21. Let p be v(-1). Let t(k) be the second derivative of 1/21*k**p + 9*k + 0*k**2 + 1/210*k**6 + 0*k**5 + 0 - 1/28*k**4. Factor t(i).
i*(i - 1)**2*(i + 2)/7
Suppose -2*i = 3*i - 15. Factor -5*v**4 - 6*v + 6*v**3 + 5*v**4 + 3*v**4 - i*v**2.
3*v*(v - 1)*(v + 1)*(v + 2)
Let p(a) be the third derivative of 1/30*a**5 + 0*a + 1/5*a**3 + 0 - 21*a**2 + 1/300*a**6 + 7/60*a**4. Factor p(v).
2*(v + 1)**2*(v + 3)/5
Let r(h) = -h**3 - 7*h**2 - 4*h + 14. Let x be r(-6). Solve -x*j + 15 - 3*j**2 - 17 + 25*j - 12 = 0.
2/3, 7
Let c be (-3)/24*-2 + 44/16. Find j, given that -40 + 29*j + 148 + c*j**2 + 7*j = 0.
-6
Let s(v) be the third derivative of -v**7/840 - v**6/120 + 2*v**4/3 + 18*v**2. Let y(w) be the second derivative of s(w). Factor y(r).
-3*r*(r + 2)
Let l be 6/(-60)*-22 + -2. Let u(d) be the first derivative of -2/3*d**3 + 0*d + 0*d**2 - 6 - l*d**5 - 3/4*d**4. Solve u(o) = 0.
-2, -1, 0
Let k(u) be the second derivative of 0 - 80/3*u**3 - 2*u**5 - 2/15*u**6 - 11*u**4 - 32*u**2 + 22*u. Find r, given that k(r) = 0.
-4, -1
Let u = 74 - 51. Let d = u - 24. Let w(a) = a**4 + a**3 + a - 1. Let b(s) = -7*s**4 - 2*s**3 - 3*s**2 - 10*s + 10. Let c(m) = d*b(m) - 6*w(m). Factor c(j).
(j - 2)**2*(j - 1)*(j + 1)
Let j(p) be the third derivative of p**8/7392 + p**7/4620 + 3*p**4/8 - p**3/6 + 8*p**2 - 1. Let s(q) be the second derivative of j(q). Factor s(x).
2*x**2*(5*x + 3)/11
Let d = -4538 - -4538. Factor d - 2/13*c**3 - 2/13*c**2 + 0*c.
-2*c**2*(c + 1)/13
Solve -4*s**3 + 184 - 232*s + 80*s**2 + 489*s + 11*s = 0 for s.
-2, -1, 23
Let u(s) = s**3 - 6*s**2 + 7*s - 8. Let q be u(5). Factor -20*a**q - 31*a**3 - 26*a**3 + 52*a**3 + 5*a**4 + 20*a.
5*a*(a - 2)*(a - 1)*(a + 2)
Let q(t) = -2*t**3 + 40*t**2 - 411*t + 1083. Let h(n) = -n**3 + 19*n**2 - 206*n + 542. Let y(k) = -5*h(k) + 3*q(k). What is l in y(l) = 0?
7, 11
Let c(v) = -48*v - 288. Let s be c(-6). Let w(r) be the third derivative of 0*r**5 + 8*r**2 + 0*r**4 + 1/10*r**7 + s*r + 0*r**3 + 0 - 1/20*r**6. Factor w(y).
3*y**3*(7*y - 2)
Solve 1/2*c**2 - 95/3*c + 21/2 = 0.
1/3, 63
Let -432*k - 7*k**2 + 600*k - 100 - 20*k**2 = 0. What is k?
2/3, 50/9
Let d be 106/(-4) - 1960/(-70). Suppose 9/2*s + 3/2*s**3 + d + 9/2*s**2 = 0. Calculate s.
-1
What is z in -5/2*z + 28/3 + 1/6*z**2 = 0?
7, 8
Let 5*n**2 - 96 + 58*n - 35*n**2 + 33*n + 5*n + 3*n**3 = 0. Calculate n.
2, 4
Find v, given that -3/2*v**4 + 141/2*v**2 + 0 - 36*v - 33*v**3 = 0.
-24, 0, 1
Let y = -823 + 823. Let m(b) be the third derivative of -1/12*b**4 + 1/120*b**5 + 11*b**2 + 1/4*b**3 + 0 + y*b. Factor m(r).
(r - 3)*(r - 1)/2
Let i(r) be the first derivative of -r**6/72 + r**5/24 + 5*r**4/12 + 3*r**3 + 5. Let k(h) be the third derivative of i(h). Suppose k(m) = 0. What is m?
-1, 2
Let u be -38 + 47 + 138/(-16). Let n(w) be the second derivative of u*w**4 + 1/2*w**3 + 1/4*w**2 - 11*w + 0. Suppose n(b) = 0. What is b?
-1/3
Let w = -1836 + 1839. Factor 1/2*j**2 + 0 + 1/2*j**w - 1/2*j - 1/2*j**4.
-j*(j - 1)**2*(j + 1)/2
Let k be (-2 + 2)*10/(-20). Factor 0 + k*r**2 - 2/15*r**3 + 2/15*r.
-2*r*(r - 1)*(r + 1)/15
Suppose 4*y = -2*y + 24. Suppose 10 = y*z - 2. Let -19/5*m + 1/5*m**5 + 1/5*m**4 + 26/5*m**2 + 1 - 14/5*m**z = 0. What is m?
-5, 1
Let o(h) = 4*h. Let d be (-20)/6*42/(-35). Suppose 0 = 4*w - 5*m - 3 - 1, -d*m - 4 = -3*w. Let f(i) = -i**2 - 19*i. Let k(j) = w*f(j) - 22*o(j). Factor k(u).
4*u*(u - 3)
Let n(d) be the second derivative of 4*d**5/25 + 91*d**4/3 + 8588*d**3/5 - 6498*d**2/5 - 815*d. Factor n(a).
4*(a + 57)**2*(4*a - 1)/5
Let x(u) = -u**3 - 7*u**2 - 10*u. Let k(o) = 8*o - 21. Let b be k(2). Let y be x(b). Let -9/7*v**2 + y - 3/7*v - 6/7*v**3 = 0. What is v?
-1, -1/2, 0
Let v = -67 + 70. Let z(l) be the second derivative of 0 - 1/21*l**3 - v*l + 0*l**2 + 1/42*l**4. Factor z(d).
2*d*(d - 1)/7
Factor 1 - 3*s**4 + 29*s + 11 - 5*s + 9*s**2 + 0*s**4 - 6*s**3.
-3*(s - 2)*(s + 1)**2*(s + 2)
Suppose 1/4*s**2 - 3*s + 11/4 = 0. What is s?
1, 11
Let b(c) be the third derivative of -3*c**6/140 - 11*c**5/210 - c**4/42 - 295*c**2. Factor b(r).
-2*r*(r + 1)*(9*r + 2)/7
Let o = 2433/2 + -1244. Let s = o - -28. Suppose 0*r**3 + s*r - r**4 + r**2 + 0 - 1/2*r**5 = 0. Calculate r.
-1, 0, 1
Factor -4 + 6*s**3 - 66*s + 29*s**3 - 6*s**2 + 86*s**2 - 19*s - 26.
5*(s - 1)*(s + 3)*(7*s + 2)
Let i(r) be the third derivative of 5*r**7/6 - 97*r**6/8 + 139*r**5/6 + 125*r**4/2 + 140*r**3/3 + 96*r**2. What is k in i(k) = 0?
-2/5, -2/7, 2, 7
Let w(d) = d**2 + 9*d - 10. Let u(c) = 2*c**2 + 8*c - 10. Suppose -2*j = -2*a + 4, 0 = -j + 1 + 1. Let t(l) = a*u(l) - 3*w(l). What is b in t(b) = 0?
-2, 1
Let n(g) = -g**3 + 7*g**2 + 2*g - 14. Let h be n(7). Let i be -1 + (-1 - h) - 45/(-21). Suppose -4/7*q**2 + 0 - 3/7*q - i*q**3 = 0. Calculate q.
-3, -1, 0
Suppose 7*y - 9 = 12. Let i be y/(-42)*12*(-16)/6. Factor 12/7*n**2 + 24/7*n + 2/7*n**3 + i.
2*(n + 2)**3/7
Factor 27*l**4 + 29*l + 534*l**2 - 69*l**3 + 71*l + 120 + 294*l**3 + 344*l.
3*(l + 2)*(l + 5)*(3*l + 2)**2
Let r(i) = -26 - 7*i**3 + 111 + 33*i**3 + 175*i + 95*i**2 + 29*i**3. Let u(d) = 9*d**3 + 16*d**2 + 29*d + 14. Let x(t) = -4*r(t) + 25*u(t). Solve x(k) = 0.
-2, -1
Let s(n) be the second derivative of -n**7/126 + 37*n**6/90 - 197*n**5/30 + 485*n**4/18 - 901*n**3/18 + 289*n**2/6 - 58*n - 7. Factor s(f).
-(f - 17)**2*(f - 1)**3/3
Let l = 130993/7 + -18852. Let x = 139 + l. Let x*g**3 + 2/7 + 6/7*g**2 + 6/7*g = 0. Calculate g.
-1
Let n(j) be the first derivative of -j**8/420 - j**7/210 + j**6/45 - 5*j**3/3 + 14. Let q(c) be the third derivative of n(c). Find g such that q(g) = 0.
-2, 0, 1
Let l(v) be the third derivative of -v**6/600 + v**5/30 + 13*v**4/120 - 11*v**3/15 + 243*v**2. Factor l(n).
-(n - 11)*(n - 1)*(n + 2)/5
Let h = 17/3 - 53/12. Let q(k) be the first derivative of -1/5*k**5 + h*k**4 + 7/2*k**2 - 2*k - 10 - 3*k**3. Determine z so that q(z) = 0.
1, 2
Let t(b) be the first derivative of -b**5/40 - b**4/6 - b**3/3 + 6*b - 5. Let y(k) be the first derivative of t(k). Factor y(p).
-p*(p + 2)**2/2
Let u = -7 - -10. Find h, given that 512*h - 527*h + 8 - h**3 + 6*h**2 + 2*h**u = 0.
-8, 1
Let c be (0 - -128) + 1 + -7 + 2. Let -c*r**3 + 8*r**2 + 25 + 129*r**3 - 45*r + 7*r**2 = 0. What is r?
-5, 1
Suppose -3*d + 4 = -2. Suppose d*s = 5 + 1. Factor -4*b**3 - 3*b**2 + 4*b - 9 - 2*b**4 + 11 + s*b**2.
-2*(b - 1)*(b + 1)**3
Suppose 0 = 3*y + z - 3, 0 = 3*y + 5*z + 8 + 1. Let a be -4*((-9)/(-6) - y). Factor p**a + 4*p**3 + 0*p**2 - p**3.
p**2*(3*p + 1)
Let p(a) be the first derivative of 2/9*a**4 + 40/27*a**3 - 36 + 11/3*a**2 + 4*a. Determine d so that p(d) = 0.
-2, -3/2
Suppose 6*k - 3*k - 21 = 0, 5*j + 12*k - 99 = 0. Solve -12/7 - 81/7*u**4 - 237/7*u**2 - 234/7*u**j - 96/7*u = 0.
-1, -2/3, -2/9
Factor -52*j + 80/3 + 24*j**2 + 4/3*j**3.
4*(j - 1)**2*(j + 20)/3
Let t = 146/21 + -44/7. Let i = 656/3 + -218. Solve 2/3*n**4 + 0 - i*n**2 - t*n - 4/3*n**5 + 2*n**3 = 0 for n.
-1, -1/2, 0, 1
Suppose -64*c + 5*a = -65*c + 3, -3*c = -a - 9. Let y(w) be the first derivative of 2*w - 3*w**c - w**5 - 3 + 1/2*w**2 - 13/4*w**4. Find k, given that y(k) = 0.
-1, 2/5
Suppose 114 = 3*d + 108. Factor 4*k**3 - 3 - k**3 + 7*k - 5*k**2 - d*k**3.
(k - 3)*(k - 1)**2
Let o(t) be the second derivative of -t**7/42 + t**5/5 - t**4/6 - t**3/2 + t**2 - 171*t. Determine x so that o(x) = 0.
-2, -1, 1
Let x(n) = -n**2 - n + 1. Suppose -2 - 6 = -4*w. Let p(z) = -30*z**2 + 5*z + 17*z**2 + 15*z**w - 5. Let b(s) = -p(s) - 5*x(s). Factor b(u).
3*u**2
Let l(u) be the second derivative of -5*u**7/42 - 2*u**6/3 + 15*u**5/4 + 35*u**4/6 - 70*u**3/3 - 60*u**2 - 2*u + 3. Suppose l(x) = 0. What is x?
-6, -1, 2
Let w(t) be the second derivative of -24*t + 0*t**2 + 5/14*t**7 - 1/3*t**6 - t**5 + 5/6*t**4 + 0 + 5/6*t**3. What is v in w(v) = 0?
-1, -1/3, 0, 1
Let d(a) = -10*a**2 - 59*a - 363. Let o(g) be the third derivative of -g**5/20 - 5*g**4/6 - 121*g**3/6 + 26*g**2. Let j(p) = -2*d(p) + 7*o(p). 