ose 11 = -7*v + 8*v. Suppose 0 = q + 4*c + 6, 0 = -3*q + 4*c + v + 3. Let -4/3 + 0*t**2 + q*t - 2/3*t**3 = 0. What is t?
-2, 1
Let p(w) be the third derivative of w**6/1080 + w**5/36 + 7*w**4/108 + 6*w**2 + 16. Factor p(v).
v*(v + 1)*(v + 14)/9
Let b = 303 - 181. Let l be b/28 + 15/10 + -3. Determine h, given that 0 + 4*h**5 - 36/7*h**3 + 8/7*h + l*h**2 - 20/7*h**4 = 0.
-1, -2/7, 0, 1
Let v = -302 - -315. Let g(j) be the first derivative of 21/2*j**2 + 6*j + v + 3*j**3. Determine w so that g(w) = 0.
-2, -1/3
Find p, given that 141*p**3 + 90*p**3 + 1548*p + 1118*p**2 + 3*p**5 - 46*p**3 - 32*p**4 + 648 - 2*p**5 = 0.
-2, -1, 18
Let b(v) be the first derivative of -v**6/3060 - v**5/102 - 25*v**4/204 + 10*v**3 + 32. Let u(l) be the third derivative of b(l). Solve u(j) = 0 for j.
-5
Let q(t) = -t**2 + 20*t + 9. Let m be q(14). Suppose j = -91 + m. Factor -4/5*v - 2/5 - 8/5*v**3 + 14/5*v**j.
-2*(v - 1)**2*(4*v + 1)/5
Let f(b) be the second derivative of b**5/70 + 20*b**4/21 - 43*b**3/21 - 82*b**2/7 + 285*b. Find w such that f(w) = 0.
-41, -1, 2
Let t(v) be the second derivative of v**6/120 + v**5/40 - v**4/4 + 8*v**3/3 + 17*v. Let b(z) be the second derivative of t(z). Suppose b(h) = 0. What is h?
-2, 1
Let g(k) = -90*k - 9 + 85*k - 10 - 4*k**2. Let l(x) be the first derivative of -x**3/3 + x**2/2 - x - 1. Let p(n) = g(n) - 3*l(n). Solve p(j) = 0.
-4
Let p(j) be the third derivative of -j**5/540 - j**4/9 + 18*j**2. Factor p(l).
-l*(l + 24)/9
Let k(n) be the third derivative of n**6/360 - n**5/20 + n**4/3 - 10*n**3/9 - 2*n**2 - 49. Factor k(d).
(d - 5)*(d - 2)**2/3
Let s(b) = -6*b**4 - 84*b**3 - 278*b**2 + 8*b. Let o(q) = -2*q**4 - 28*q**3 - 92*q**2 + 3*q. Let p(t) = -8*o(t) + 3*s(t). Let p(g) = 0. Calculate g.
-7, 0
Let v(x) be the first derivative of 4*x**3/3 + 34*x**2 + 288*x - 69. Solve v(z) = 0.
-9, -8
Let c(k) = 2*k**2 + 3*k**2 - 6 + 10*k - 7*k**2 + 10*k**2. Let x(d) = 15*d**2 + 20*d - 12. Let n(u) = 7*c(u) - 4*x(u). Find w, given that n(w) = 0.
-3, 1/2
Let q(b) = -26*b**2 + 40*b + 196. Let f(u) = u**3 + 27*u**2 - 39*u - 196. Let o(r) = 2*f(r) + 3*q(r). Factor o(j).
2*(j - 7)**2*(j + 2)
Let b(i) be the first derivative of 4*i**6/9 + 58*i**5/15 + 9*i**4/2 - 46*i**3/9 - 31*i**2/3 - 4*i + 53. Find w such that b(w) = 0.
-6, -1, -1/4, 1
Let b(y) be the first derivative of y**4/14 + 4*y**3/7 + 11*y**2/7 + 12*y/7 - 82. Factor b(q).
2*(q + 1)*(q + 2)*(q + 3)/7
Let v(r) = 2*r**3 - 290*r**2 - 621*r - 322. Let i(l) = l**3 - 97*l**2 - 207*l - 107. Let p(d) = 7*i(d) - 2*v(d). Let p(h) = 0. Calculate h.
-1, 35
Let g(m) = -25*m**3 - 2*m**2 + m. Let w be g(1). Let p be (4 - 11/2) + w/(-4). Find y such that -4/3*y**p - 52/3*y + 28/3*y**4 - 24*y**3 + 4 + 88/3*y**2 = 0.
1, 3
Let g = -189481/7 - -26907. Let r = g - -162. Suppose 8/7 - 8/7*s - 2/7*s**2 + r*s**3 = 0. Calculate s.
-2, 1, 2
Let c(u) be the second derivative of -u**4/12 + 5*u**3/6 + 3*u**2 + 64*u. Solve c(q) = 0 for q.
-1, 6
Let g(p) be the third derivative of -p**6/1620 - p**5/108 - p**4/27 - p**3/3 + 13*p**2. Let s(q) be the first derivative of g(q). What is l in s(l) = 0?
-4, -1
Let j(x) be the second derivative of -x**6/75 - 3*x**5/25 + 9*x**4/10 + 36*x**3/5 - 324*x**2/5 + 15*x. Factor j(g).
-2*(g - 3)**2*(g + 6)**2/5
Let z = 9963 + -49808/5. Let -z*h**4 - 19/5*h**3 - 16/5*h - 5*h**2 - 1/5*h**5 - 4/5 = 0. What is h?
-2, -1
Let i(c) = -c**3 - c**2 + c - 13. Let n be i(-3). Factor 2*a + 35/2*a**n - 2.
(5*a + 2)*(7*a - 2)/2
Let i(m) be the second derivative of -m**4/42 + 18*m**3/7 - 729*m**2/7 + 39*m. Factor i(p).
-2*(p - 27)**2/7
Suppose -5*p + 29 = 3*x, 5*p = x + x + 14. Determine c so that -16 - 189*c**5 + 243*c**4 + 96*c - 132*c**3 + 36*c**4 - 128*c**2 + 72*c**p + 18*c**4 = 0.
-2/3, 2/7, 2/3, 1
Let s(z) be the third derivative of -z**5/150 - z**4/4 - 26*z**3/15 + 201*z**2 + z. Determine i, given that s(i) = 0.
-13, -2
Suppose -i + 5 = -2. Suppose 3*w = 2*o + i - 1, -o + w - 1 = 0. Factor n**o - 1/3*n**2 - 1/3*n**4 + 2/3 - n.
-(n - 2)*(n - 1)**2*(n + 1)/3
Suppose -3*a = -5*y + 1 + 9, 0 = 5*y + 2*a - 10. Find l, given that 15/4*l + 3/8*l**y + 75/8 = 0.
-5
Let q be (-1)/2 - (-1638)/(-180). Let m = q - -10. Factor 0*c + 2/5*c**2 + 0 + m*c**3.
2*c**2*(c + 1)/5
Let b(t) = -4*t**2 + 5*t - 1. Let k be (-4)/(-10) + 36/10. Let z(x) = -40*x**2 + 154*x + 44*x**2 - 158*x. Let q(s) = k*b(s) + 3*z(s). Factor q(m).
-4*(m - 1)**2
Let j(u) be the third derivative of u**8/336 - u**7/210 - u**6/15 + 2*u**5/15 + 2*u**4/3 - 8*u**3/3 + 142*u**2. Factor j(w).
(w - 2)**2*(w - 1)*(w + 2)**2
Let d be 4/16 + (-30)/(-8). Let c(p) = -p**2 + 5*p - 1. Let b be c(d). Factor 4*q**2 + q**4 + 5*q**b + 2*q**3 - 3*q**3.
q**2*(q + 2)**2
Let x(s) be the first derivative of 0*s**2 - 1/9*s**3 + 1/3*s + 10. Solve x(n) = 0 for n.
-1, 1
Let o(d) be the first derivative of -d**7/1890 + d**6/405 - d**3/3 - 16. Let f(s) be the third derivative of o(s). Factor f(w).
-4*w**2*(w - 2)/9
Let z(p) be the second derivative of 5*p**4/12 - 5*p**3/2 + 5*p**2 + 4*p + 6. Factor z(n).
5*(n - 2)*(n - 1)
Let x(a) be the second derivative of 1/15*a**4 + 0*a**3 + 0*a**2 + 0 + 2*a. Factor x(d).
4*d**2/5
Let u = 135 - 137. Let b be 5 + 6/(u + 8). Factor 0 - b*q**2 + 9/2*q + 3/2*q**3.
3*q*(q - 3)*(q - 1)/2
Let s(j) be the second derivative of j**5/140 - 5*j**4/28 + 9*j**3/14 - 45*j**2/2 - 45*j. Let g(z) be the first derivative of s(z). Find a such that g(a) = 0.
1, 9
Let s be (-5)/(70/(-21))*(-1 - -37). Let f = -50 + s. Let -2/7*p**3 - 2/7*p**5 + 20/7*p**2 - 16/7 - 8/7*p**f + 8/7*p = 0. What is p?
-2, 1
Let d(s) be the second derivative of -s**5/90 - 7*s**4/36 + 11*s**2 - 5*s. Let q(r) be the first derivative of d(r). Factor q(g).
-2*g*(g + 7)/3
Let z(f) = 4*f - 12. Let w = -99 + 103. Let v be z(w). Factor 7/3*a**2 - 3*a**3 - 2/3*a - 1/3*a**5 + 0 + 5/3*a**v.
-a*(a - 2)*(a - 1)**3/3
Let t(a) be the third derivative of -7*a**6/180 + a**5/15 + 56*a**2 + 2*a. Find i, given that t(i) = 0.
0, 6/7
Let h be 0 + ((-36)/(-81))/(4/18). Let g(k) be the first derivative of 5 - 1/5*k**3 + 0*k - 1/10*k**h. Factor g(y).
-y*(3*y + 1)/5
Suppose 21/5*i - 3/5*i**2 - 18/5 = 0. Calculate i.
1, 6
Let t(n) be the second derivative of 0*n**2 - 14*n + 1 + 1/24*n**4 - 1/12*n**3. Factor t(y).
y*(y - 1)/2
Let c(r) be the second derivative of 7/90*r**5 + 5/54*r**4 - 16/27*r**3 + 4/9*r**2 - 9*r + 0. What is n in c(n) = 0?
-2, 2/7, 1
Determine q so that 14 - 9 + 10*q**3 + 15*q - 10*q**4 - 5*q**5 + 20*q**2 - 20*q - 15 = 0.
-2, -1, 1
Determine x so that -94*x**4 - x**2 + 0*x + 14*x**3 + 100*x**4 + 2*x + 11*x**2 = 0.
-1, -1/3, 0
Suppose 5*g = -0*g + 10, -3*z - 5*g + 4 = 0. Let f = 2 - z. Factor 21*o**f + 6*o**5 + 15*o + 22*o**2 + 27*o**3 - 12*o - 7*o**2.
3*o*(o + 1)**3*(2*o + 1)
Let u be (-3)/(12/(-6) + 2 - 1). Let m(l) be the second derivative of -8/5*l**5 + 0 + 0*l**2 - l - 4/3*l**4 - 1/3*l**u. Factor m(h).
-2*h*(4*h + 1)**2
Let j(w) = 17*w + 51. Let f = -123 - -120. Let m be j(f). What is p in 0*p + 1/2*p**4 - p**3 + m + 1/2*p**5 + 0*p**2 = 0?
-2, 0, 1
Let j be 357/441 + (-8)/12. Factor j*t + 1/7*t**2 - 2/7.
(t - 1)*(t + 2)/7
Suppose 3*x + w - 11 = 0, 4*x - 5*w + 3 = 6*x. Suppose z - 2*o = 6, x*z - 8 = z + o. Solve -v**4 - 2*v**2 - 2*v**2 + 5*v**z = 0.
-1, 0, 1
Let p(i) be the second derivative of -i**4/24 - 5*i**3/2 + 16*i**2 + 256*i. What is v in p(v) = 0?
-32, 2
Let g(r) be the third derivative of 0*r**4 + 0*r**5 + 0*r**3 + 1/15*r**6 + 17*r**2 + 2/105*r**7 + 0*r + 0. Determine f so that g(f) = 0.
-2, 0
Let y be (3*1)/(-1 + 2). Let x be 0/4*3*(-2)/18. Suppose x - 2*r**2 + 3*r + r**y - 2*r + 0 = 0. What is r?
0, 1
Suppose -v = -3*v + 8. Suppose -v = -s, 6*s - 14 = q + 2*s. Factor 2*g + 0*g - 3*g**3 + 2*g**3 - g**2 + 2*g**q.
-g*(g - 2)*(g + 1)
Suppose -3*l - 31 = -5*d, -3*d - 5*l = -5 - 0. Let p(t) be the second derivative of 0*t**2 + 0 - 4/3*t**3 + 1/15*t**6 - 2*t + 4/3*t**4 - 1/2*t**d. Factor p(f).
2*f*(f - 2)**2*(f - 1)
Let c(p) = -p - 2. Let v(t) = -15*t - 45. Let r(o) = 36*c(o) - 3*v(o). Let g be r(-7). Suppose -2/11*m**2 - 4/11*m + g = 0. What is m?
-2, 0
Let r(q) = -8 - 51*q**2 + 49*q**3 - 75*q**2 - 21*q + 87*q. Let s(n) = 49*n**3 - 126*n**2 + 67*n - 8. Let u(a) = -7*r(a) + 6*s(a). Factor u(y).
-(y - 2)*(7*y - 2)**2
Suppose 3 = -2*r - 17. Let d be (-4)/r - 16/(-10). Let -4/3*l**d + 0 