n) = j*p(n) - 6*i(n). Solve k(g) = 0 for g.
-1, -3/8
What is c in 4/7*c**3 - 6/7*c**2 - 8/7*c + 2/7*c**4 + 8/7 = 0?
-2, 1
Let s(c) be the third derivative of -c**7/1050 + 51*c**6/50 - 23409*c**5/50 + 1193859*c**4/10 - 182660427*c**3/10 + 94*c**2. Suppose s(r) = 0. Calculate r.
153
Let s be (0 + 2)*(-1 + 2). Factor -3*h**3 - 1521*h + 479 + 91*h**2 - 55*h**s + 6112 + 81*h**2.
-3*(h - 13)**3
Let y(d) be the first derivative of d**4/46 + 2*d**3/23 + 2*d**2/23 - 182. Determine i, given that y(i) = 0.
-2, -1, 0
Let j(v) be the first derivative of v**6/48 + 3*v**5/10 + 43*v**4/32 + 5*v**3/2 + 7*v**2/4 + 129. Factor j(x).
x*(x + 1)*(x + 2)**2*(x + 7)/8
Factor 4*h**4 - 4*h**4 + 3*h**2 + h**4 - 4*h**3 - 2*h**3 + 2*h**4.
3*h**2*(h - 1)**2
Let h(c) be the second derivative of -c**7/105 + 4*c**6/225 + c**5/150 - c**4/45 + 3*c + 9. Determine n, given that h(n) = 0.
-2/3, 0, 1
Find h, given that -15/7*h**3 - 156/7*h - 92/7*h**2 - 80/7 + 1/7*h**4 = 0.
-2, -1, 20
Let d(b) be the second derivative of 0 - 3/2*b**4 - 3/2*b**2 - b + 7/2*b**3. Factor d(s).
-3*(s - 1)*(6*s - 1)
Let f = 1003 + -1001. Factor -1/4*o**4 + 7/4*o - 1/2 + 5/4*o**3 - 9/4*o**f.
-(o - 2)*(o - 1)**3/4
Let y(g) = -g - 4. Let b be y(-4). Let f(h) be the third derivative of -6*h**2 - 25/24*h**4 - 1/24*h**6 + 5/3*h**3 + 0*h + 1/3*h**5 + b. Factor f(l).
-5*(l - 2)*(l - 1)**2
Let f(w) be the second derivative of -w**5/10 + w**4/6 + 10*w**3/3 + 8*w**2 - 8*w. Suppose f(a) = 0. What is a?
-2, -1, 4
Let r(x) = x**3 - x**2 + x + 2. Let u(n) = -5*n**3 + 3*n**2 - 10*n. Let a(g) = -6*r(g) - u(g). Factor a(t).
-(t - 3)*(t - 2)*(t + 2)
Suppose 4/3*g**3 + 0 - 4*g - 8/3*g**2 = 0. What is g?
-1, 0, 3
Suppose 0 = 5*u + 73 + 57. Let i = u + 28. Solve 7*a**i + 8 - 12*a - 13*a**2 - 2*a + 4 = 0 for a.
-3, 2/3
Let p(y) be the second derivative of y**6/180 + y**5/40 - y**4/8 + 5*y**3/36 - 17*y + 4. Determine v so that p(v) = 0.
-5, 0, 1
Let t(d) be the third derivative of 0*d + 0 + 1/3*d**4 + 15*d**2 + 0*d**3 + 1/5*d**5 + 2/15*d**7 - 2/5*d**6. Determine m, given that t(m) = 0.
-2/7, 0, 1
Let m(i) = 2*i**2 + 4*i + 3. Let t be -1 - (-3 + 1) - 3. Let o be m(t). Factor -9*g**3 + 3*g**2 + 0*g**2 - g + 9*g**4 + g - o*g**5.
-3*g**2*(g - 1)**3
Let s(l) be the third derivative of -l**4/24 + 3*l**3/2 - 10*l**2. Let k be s(7). Factor -6*m + 0 + 6 - 4*m**k + 3 + m**2.
-3*(m - 1)*(m + 3)
Let t(j) be the first derivative of 0*j - 1/22*j**4 + 2/55*j**5 - 2/33*j**3 + 1/11*j**2 + 42. Let t(f) = 0. What is f?
-1, 0, 1
Suppose -8*j - 26 = -21*j. Factor -23 + 48*k - 9 + 184*k**j + 676*k**3 + 28*k**4 - 544*k**3.
4*(k + 1)*(k + 2)**2*(7*k - 2)
Let t be (2/24)/(7/441). Let b be (4/24)/((-4)/(-42)). Determine j so that 0 + t*j**3 + 1/2*j**4 - 5*j**2 - b*j**5 + j = 0.
-2, 0, 2/7, 1
Suppose 2*i + 5*f - 32 = f, -3*i + 5*f = 7. Let q be 24/(i - 0) + 0 + -1. Factor 2/9*z**5 + 0 + 2/9*z**2 + 2/3*z**q + 0*z + 2/3*z**4.
2*z**2*(z + 1)**3/9
Let d = -237 + 169. Let c = 113 + d. Solve 2*u**5 - 6*u**4 + 15*u**2 - 63*u**3 + 19*u**5 - 13*u + c*u**2 + u = 0 for u.
-2, 0, 2/7, 1
Let f(p) be the third derivative of -p**6/10 + 4*p**5/3 + 23*p**4/2 - 36*p**3 - 79*p**2 - p. Let f(o) = 0. Calculate o.
-3, 2/3, 9
Let j = -2 + 4. Let i be (-1 + j)*-15*2/(-24). Factor 1/2*c + i*c**2 + 1/4*c**4 + c**3 + 0.
c*(c + 1)**2*(c + 2)/4
Let q(p) be the second derivative of -p**6/20 + 3*p**5/20 + 3*p**4/8 + p - 82. Factor q(v).
-3*v**2*(v - 3)*(v + 1)/2
Let p(j) = j**2 - 7*j + 3. Let i be p(7). Suppose 2*m - i*m + 2 = 0. Factor -m*s**2 - 4*s**2 - 4*s**2 + 24*s - 8.
-2*(s - 2)*(5*s - 2)
Let s(h) be the third derivative of h**6/300 + 11*h**5/150 + 7*h**4/12 + 5*h**3/3 - 35*h**2. Factor s(b).
2*(b + 1)*(b + 5)**2/5
Let p(s) be the third derivative of -s**6/270 - s**5/27 - s**4/9 - 22*s**2 + s. What is k in p(k) = 0?
-3, -2, 0
Let i = -1254040 - -21331094/17. Let r = -730 + i. Let 0 - 2/17*x + r*x**2 = 0. Calculate x.
0, 1/2
Let k(g) be the first derivative of -g**8/8400 - g**7/4200 + 7*g**3/3 + 6. Let a(s) be the third derivative of k(s). Let a(v) = 0. Calculate v.
-1, 0
Suppose 28*r + 35*r = 53*r + 40. Solve 1/6*b**r + 1/3*b - 1/6*b**2 - 1/3*b**3 + 0 = 0.
-1, 0, 1, 2
Let d = -536 - -1612/3. Determine q so that 4/3*q + d + 1/3*q**2 = 0.
-2
Solve 22/7*u + 2/7*u**2 + 20/7 = 0.
-10, -1
Let b(a) be the third derivative of 25/144*a**4 + 0*a**3 + 1/36*a**5 + 12*a**2 + 1/720*a**6 + 0*a + 0. Factor b(m).
m*(m + 5)**2/6
Suppose 2*b + n + 3 = -0*n, -4*b - 9 = 5*n. Let i be (-5)/7 - b - (-2)/42. Factor 0 - 1/3*h**3 + 1/3*h - i*h**2 + 1/3*h**4.
h*(h - 1)**2*(h + 1)/3
Let s(g) be the third derivative of g**6/540 - g**5/54 + 7*g**4/108 - g**3/9 + 14*g**2. Factor s(v).
2*(v - 3)*(v - 1)**2/9
Factor -28*a**2 + 43*a**2 - 23*a**2 + 7*a - 5*a.
-2*a*(4*a - 1)
Let l be 18/8*(-6)/(-9). Let f = -4041/2 + 2022. Let 0 - l*i**2 + f*i = 0. Calculate i.
0, 1
Let q = 4/1653 - -2747/3306. Let z(x) be the second derivative of x + 1/4*x**5 + 5/6*x**3 + 0*x**2 - q*x**4 + 0. Factor z(i).
5*i*(i - 1)**2
Suppose -j - 36 = -3*k - 3*j, -3*k - 4*j + 42 = 0. Let f = -26/3 + k. Find w such that 11/2*w**2 - 14/3*w**3 - f + 5/6*w**4 - 1/3*w = 0.
-2/5, 1, 4
Let f(y) be the first derivative of 9*y**5/35 + 4*y**4/7 + 13*y**3/42 + y**2/14 - 27*y - 17. Let v(l) be the first derivative of f(l). Factor v(b).
(b + 1)*(6*b + 1)**2/7
Suppose 6*u - 2*u = -4. Let f(z) = z. Let n(q) = -q**2 + 4*q. Let w(a) = u*n(a) + 2*f(a). What is t in w(t) = 0?
0, 2
Let w(x) be the first derivative of -x**5 - 5/6*x**6 + 0*x + 6 + 0*x**2 + 0*x**3 + 0*x**4. Factor w(m).
-5*m**4*(m + 1)
Factor 240*h - 400*h**2 + 1220*h**5 + 240*h**3 - 2*h**4 - 58*h**4 - 1215*h**5.
5*h*(h - 6)*(h - 2)**3
Let u(n) = -23*n - 989. Let l be u(-43). Let 96/7*d**3 + l + 0*d - 12/7*d**2 + 21*d**5 - 33*d**4 = 0. What is d?
0, 2/7, 1
Suppose -5*v - 43*n = -45*n - 35, 2*v + 5 = -3*n. Factor 1/3*q**v + 1/3*q + 0 + 4/3*q**4 + 4/3*q**2 + 2*q**3.
q*(q + 1)**4/3
Let d be (-2 - -5)*(2 - 0). Let p be (d/10)/((-4)/(-20)). Solve -1 - 24*i**4 + 8*i**p + 18*i**5 + 1 = 0 for i.
0, 2/3
Suppose -8*y + 41 = -47. Suppose -4*r = -5*o + 4 + 10, -3*o + 5*r = -y. Factor -1/3*v**o + 4/3*v - 4/3.
-(v - 2)**2/3
Let q = 385 - 380. Let y(n) be the second derivative of 0 + n + 1/12*n**4 + 1/40*n**q + 1/12*n**3 + 0*n**2. Let y(a) = 0. Calculate a.
-1, 0
Let i(k) be the second derivative of -k**7/105 + k**6/25 + 16*k**5/25 + 2*k**4 + 32*k**3/15 - 279*k. Let i(s) = 0. Calculate s.
-2, -1, 0, 8
Let w(o) be the second derivative of o**6/135 + o**5/10 + 7*o**4/27 + 300*o. Find m, given that w(m) = 0.
-7, -2, 0
Find u, given that 5*u**3 - 10*u**3 + u**3 - 8 + 12*u = 0.
-2, 1
Suppose 65 - 68 = -k. Let t(b) be the third derivative of 7/540*b**6 - 5*b**2 + 0 + 0*b**k + 1/54*b**4 + 0*b + 1/30*b**5. Factor t(m).
2*m*(m + 1)*(7*m + 2)/9
Let p(y) = -3*y**2 + 69*y - 124. Let z(x) = -3*x**2 + 69*x - 123. Let h(u) = -3*p(u) + 2*z(u). Factor h(w).
3*(w - 21)*(w - 2)
Let r be (-615)/(-82)*6*(-1)/(-60). Factor t - 2*t**2 + r*t**3 + 0.
t*(t - 2)*(3*t - 2)/4
Let z(w) be the second derivative of -w**4 - 3*w + 0 - 2/5*w**5 - 1/15*w**6 - w**2 - 4/3*w**3. Factor z(v).
-2*(v + 1)**4
Suppose 0*v = 3*v - 6. Suppose 0 = 3*z + 4*s + 5, -v*z - 2*s = -3*z + 15. Solve 2*u**4 - 16*u**2 - u**z + 0*u**5 + u + 14*u**2 = 0 for u.
-1, 0, 1
Let r(w) be the first derivative of -3*w**3 - 87*w**2 + 120*w + 175. What is v in r(v) = 0?
-20, 2/3
Let s(v) be the first derivative of -6*v**3 + 0 - 3*v + 5*v**3 + 34 - 12*v + 9*v**2. Factor s(q).
-3*(q - 5)*(q - 1)
What is v in 8*v**2 - 512/3 + 0*v - 2/3*v**3 = 0?
-4, 8
Suppose -5*j = 70 - 100. Let b(p) = -29*p**3 + 66*p**2 + 25*p - 48. Let z(a) = 15*a**3 - 33*a**2 - 12*a + 24. Let l(c) = j*b(c) + 11*z(c). Factor l(f).
-3*(f - 4)*(f + 1)*(3*f - 2)
Let i(u) be the second derivative of -u**6/165 + u**5/22 + 8*u**4/33 - 68*u**3/33 + 48*u**2/11 - 2*u - 12. Solve i(x) = 0 for x.
-4, 1, 2, 6
Let w(d) = -d**3 + 6*d**2 + d + 14. Let c be w(6). Let o = c - 18. Determine z, given that -8/9*z**2 - 8/3*z - o = 0.
-3/2
Let l be (8/12)/((-84)/(-420)). Factor l + 8/3*p - 2/3*p**2.
-2*(p - 5)*(p + 1)/3
Let w(r) be the first derivative of 1/5*r**3 + 9 + 1/20*r**4 + 0*r + 1/5*r**2. Factor w(t).
t*(t + 1)*(t + 2)/5
Let t(q) = 4*q - 1 + 0*q - 3*q. Let c(j) = -j**3 + j**2 + 2*j - 2. Suppose 0 = -130*n + 132*n + 4. Let h