 -8*j + 3. Find i, given that -8 - 3*i - 16*i**2 + j + 15*i**2 = 0.
-2, -1
Suppose -4*s - 5*w = -10, -11*s - 2*w + 4 = -0*w. Find l such that -3*l + s + 3/2*l**2 = 0.
0, 2
Let f be (-3)/(-18)*-69 - -14. Find w such that -6*w**2 + f*w**4 - 3/2*w**3 - 2*w + 0 = 0.
-1, -2/5, 0, 2
Let i(c) be the first derivative of -12*c**3 + 3/5*c**5 - 22 + 3/2*c**4 + 21*c**2 - 15*c. Let i(a) = 0. Calculate a.
-5, 1
Let b be 14 - (-10 + 19) - 0. Let o(w) be the second derivative of 6*w - 64/3*w**3 - 8*w**2 - 77/3*w**4 - 49/5*w**b + 0. Let o(d) = 0. What is d?
-1, -2/7
Let j(u) = -u**3 - u + 2. Let y(k) = 50*k**2 + 285*k - 10. Let t(p) = -5*j(p) - y(p). Factor t(z).
5*z*(z - 14)*(z + 4)
Let a be -2*2/(-29 + 21). Factor -81/2 - a*h**2 - 9*h.
-(h + 9)**2/2
Let a(r) be the second derivative of r**5/180 + r**4/36 - r**3/54 - r**2/6 + 57*r. Solve a(w) = 0 for w.
-3, -1, 1
Let o be 2/(1 - 3) - (382 + -385). Let y(r) be the second derivative of r**3 - 2*r**o - 1/6*r**4 + 0 - 9*r. Suppose y(m) = 0. Calculate m.
1, 2
Solve 18*k**2 + 13*k**2 + 184 - 2*k**4 - 78*k**2 - 192*k + 48*k**3 + 9*k**2 = 0.
-2, 1, 2, 23
Let z(t) be the second derivative of 20*t**7/21 - 2*t**6 - 399*t**5/8 - 485*t**4/12 - 10*t**3 + t + 32. Let z(w) = 0. What is w?
-4, -1/4, 0, 6
Let i = 30518/34353 + 2/3817. Factor i + 50/9*r**2 - 40/9*r.
2*(5*r - 2)**2/9
Suppose 4*w - a = 20 - 5, 5*w + 2*a = 22. Let d = 1630/11 - 148. Factor -4/11*r**2 + 0*r + d*r**3 + 2/11*r**w + 0.
2*r**2*(r - 1)*(r + 2)/11
Let g(p) be the third derivative of p**8/5376 - p**7/2016 - p**6/144 + p**5/24 - 7*p**4/4 + 34*p**2. Let x(n) be the second derivative of g(n). Factor x(i).
5*(i - 2)*(i - 1)*(i + 2)/4
Suppose 0 = h - 5*u + 12, 2*h = -5*u - 0*u + 21. Let j(q) = -q + 5. Let y be j(h). Factor 1 + 3*v - 7/4*v**y.
-(v - 2)*(7*v + 2)/4
Suppose 0 = -5*n - 2*x - x + 191, -5*x = 15. Suppose 44*w - 8 = n*w. Factor 1/3*i**w - 1/3*i + 0.
i*(i - 1)/3
Let k = 23 + -16. Factor 28*h**3 - k*h**2 + 8*h - 23*h**2 - 6*h**2.
4*h*(h - 1)*(7*h - 2)
Let r(b) be the first derivative of b**3/3 + 3*b**2/2 - 4*b - 97. Let r(t) = 0. Calculate t.
-4, 1
Let n(m) = -m**3 - 5*m**2 - 3*m - 7. Let s be n(-5). Factor 2*j + j + j + 8*j - 6*j**2 - s + j**3.
(j - 2)**3
Let x(y) be the second derivative of y**5/135 + y**4/18 + 4*y**3/27 + 6*y**2 - 2*y. Let t(a) be the first derivative of x(a). What is g in t(g) = 0?
-2, -1
Let z = -1597 - -22349/14. Let h = z + 8/7. Factor 0*s + 0 + s**4 - h*s**3 - 1/2*s**2.
s**2*(s - 1)*(2*s + 1)/2
Suppose 4/7*w**3 - 8/7*w**2 + 0*w + 0 = 0. Calculate w.
0, 2
Suppose 4*c + 18 = -2*c. Let v(x) = x**2 + x - 1. Let g(b) = 4*b**2 + 7*b - 3. Let i(o) = c*v(o) + g(o). Determine j, given that i(j) = 0.
-4, 0
Let k be 7/5*(-24)/(-84). Solve 2/5 + 0*c - k*c**2 = 0 for c.
-1, 1
Let q(j) be the first derivative of j**4/14 + 4*j**3/21 - j**2/7 - 4*j/7 - 47. Let q(v) = 0. Calculate v.
-2, -1, 1
Let a(t) = -t + 1. Let b be a(-3). Suppose 2*f = -0 + b. Factor 10*z**f - 8*z**2 + 1 + 1 + 4*z.
2*(z + 1)**2
Let r(c) be the second derivative of c**5/80 - c**4/12 - c**3/8 + 9*c**2/4 + 270*c + 1. Suppose r(t) = 0. Calculate t.
-2, 3
Let p(m) be the first derivative of m**6/30 - m**5/5 + m**4/2 - 2*m**3/3 + m**2/2 - 10*m + 23. Let q(v) be the first derivative of p(v). What is k in q(k) = 0?
1
Suppose -92 + 11 = -3*m. Let f(y) = y**2 + 3 + m*y + 4 - 15*y. Let n(w) = w**2 + 24*w + 13. Let d(z) = -5*f(z) + 2*n(z). Factor d(g).
-3*(g + 1)*(g + 3)
Let z be 801/27 - 29 - ((-3)/2)/(-3). Determine g so that 1/6*g**5 - 1/6*g**4 + 0 + z*g**2 + 0*g - 1/6*g**3 = 0.
-1, 0, 1
Suppose -m - 2*m + 2*h = -45, m = h + 15. Let -22320 + m*y**4 + 22320 - 10*y**3 - 5*y**5 = 0. Calculate y.
0, 1, 2
Let x be (-55)/110 - (-2)/((-44)/(-19)). Solve -1134/11*t**4 + 0 - 74/11*t**2 + 466/11*t**3 + 882/11*t**5 + x*t = 0.
0, 1/7, 1/3, 2/3
Let f(a) = a**3 - 8*a**2 - 19*a + 15. Let y be f(10). Suppose y = -i + 30. Solve 32/3*c**3 + 2/3*c**i - 32/3*c - 16/3*c**2 - 14/3*c**4 + 32/3 = 0.
-1, 2
Suppose -22*l + 6359 = 6359. Factor 25/6*s**5 + 5/3*s**4 + 0*s + 0*s**3 + 0*s**2 + l.
5*s**4*(5*s + 2)/6
Let n(t) be the second derivative of -6*t**3 - 1/10*t**6 + 0 - 13/4*t**4 - 9/10*t**5 - 6*t**2 + t. Suppose n(k) = 0. What is k?
-2, -1
Suppose -6*b + 641 = 13*b + 603. Suppose 0 - 20/3*h + 5/3*h**4 + 40/3*h**b - 25/3*h**3 = 0. What is h?
0, 1, 2
Let b(r) = -r**3 - 4*r**2 + 4. Suppose 4 = -15*q + 14*q. Let a be b(q). Factor 0*z + 3/2*z**5 + 0*z**2 + 0 + 3*z**3 - 9/2*z**a.
3*z**3*(z - 2)*(z - 1)/2
Let o(t) be the first derivative of 1/4*t**3 - 5/16*t**4 + 1/24*t**6 - 3 + 0*t**2 + 0*t + 1/20*t**5. Factor o(x).
x**2*(x - 1)**2*(x + 3)/4
Let i(k) be the second derivative of -49*k**7/480 - 49*k**6/240 - 7*k**5/40 - k**4/12 + 5*k**3/2 - 13*k. Let y(b) be the second derivative of i(b). Factor y(c).
-(7*c + 2)**3/4
Let o(g) be the second derivative of g**7/112 - 7*g**6/40 + 99*g**5/160 + 7*g**4/2 + 4*g**3 - g - 69. Factor o(l).
3*l*(l - 8)**2*(l + 1)**2/8
Let v(k) = -14*k**3 + 7 + 0 - 13*k - 12*k**2 + k**2 + 2*k**3. Let g(i) = 8*i**3 + 7*i**2 + 9*i - 5. Let p(b) = -7*g(b) - 5*v(b). What is l in p(l) = 0?
-1, -1/2, 0
Suppose -4*l + 27 + 1 = 0. Let s(b) = -b + 5. Let h be s(5). Factor t + 2 + 21*t**2 + l*t + h - 6.
(3*t + 2)*(7*t - 2)
Factor -328/13*a - 3362/13*a**2 - 8/13.
-2*(41*a + 2)**2/13
Factor 2/5*b**2 + 88/5 - 48/5*b.
2*(b - 22)*(b - 2)/5
Let v(s) be the second derivative of 4*s + 1/2*s**3 - 1/66*s**4 + 1/220*s**5 + 0 + 0*s**2 - 1/1980*s**6. Let c(g) be the second derivative of v(g). Factor c(b).
-2*(b - 2)*(b - 1)/11
Let u(p) be the first derivative of p**4/54 + 5*p**3/27 + 4*p**2/9 - 12*p - 9. Let w(b) be the first derivative of u(b). Suppose w(h) = 0. What is h?
-4, -1
Let 0 + 0*g**2 + 1/2*g - g**3 + 0*g**4 + 1/2*g**5 = 0. What is g?
-1, 0, 1
Let h(r) be the second derivative of 2*r**7/525 + r**6/75 + r**5/75 - 7*r**2/2 + 3*r. Let m(b) be the first derivative of h(b). Solve m(i) = 0 for i.
-1, 0
Let x(p) be the first derivative of -3*p**4/4 - 11*p**3 - 57*p**2 - 120*p - 697. Factor x(b).
-3*(b + 2)*(b + 4)*(b + 5)
What is i in 11 + 21*i**2 - 4*i**3 + 16*i**3 - 42*i - 15*i**3 - 1 + 14 = 0?
1, 2, 4
Let j(n) = -6*n**3 + 11*n**2 + 5*n - 37. Let u(f) = -12*f**2 - 6*f + 41 + 167*f**3 - 3 - 160*f**3. Let x(h) = -6*j(h) - 5*u(h). Determine c so that x(c) = 0.
-2, 4
Let k(f) be the first derivative of -f**3/12 - 3*f**2/2 - 35*f/4 - 120. Solve k(i) = 0.
-7, -5
Let u(d) be the second derivative of 31*d + 0 - 1/12*d**4 + 1/90*d**6 + 1/63*d**7 + 0*d**3 - 1/15*d**5 + 0*d**2. Let u(t) = 0. What is t?
-1, 0, 3/2
Let t(l) = 18*l**3 - 12*l**2 - 39*l - 9. Let a(j) = -17*j**3 + 11*j**2 + 38*j + 10. Let b(s) = -3*a(s) - 2*t(s). Solve b(y) = 0.
-1, -2/5, 2
Let g(c) be the second derivative of 0*c**2 - 1/3*c**3 - 1/180*c**5 - c + 0 - 1/540*c**6 + 0*c**4. Let w(v) be the second derivative of g(v). Factor w(u).
-2*u*(u + 1)/3
Let d(s) be the third derivative of 0*s**3 - 7/40*s**6 + 0 - 37/20*s**5 + 0*s - 5/4*s**4 - 6*s**2. Factor d(t).
-3*t*(t + 5)*(7*t + 2)
Let y(m) be the second derivative of -m**4/42 - 2*m**3/7 - 8*m**2/7 + 161*m. Factor y(f).
-2*(f + 2)*(f + 4)/7
Let u(s) = -513*s - 10258. Let f be u(-20). Factor 1/4*z**4 + z**3 + 12 - 10*z - 13/4*z**f.
(z - 3)*(z - 1)*(z + 4)**2/4
Suppose 0 = 59*p + 57*p + 50 - 282. Solve 0 + 2/7*m**3 - 2/7*m**p + 0*m = 0.
0, 1
Let c(v) be the first derivative of v**5 - 5*v**4 - 70*v**3 + 550*v**2 - 875*v - 501. Let c(t) = 0. Calculate t.
-7, 1, 5
Let w be 48/(-12) + -3 + (-3571)/(-497). Let v = w + -3/71. Factor -6/7*d + 9/7 + v*d**2.
(d - 3)**2/7
Let a(u) be the second derivative of 8*u**5/35 + 13*u**4/7 + 86*u**3/21 - 12*u**2/7 - u + 13. Suppose a(o) = 0. What is o?
-3, -2, 1/8
Let q(l) be the first derivative of -15*l**4/28 + 9*l**3/7 + 3*l**2/7 - 68. Factor q(t).
-3*t*(t - 2)*(5*t + 1)/7
Factor -22/13*o**3 + 0*o + 20/13*o**2 + 2/13*o**4 + 0.
2*o**2*(o - 10)*(o - 1)/13
Let x(z) = 11*z**2 - 11. Let w(s) = -2*s - 8. Let f be w(-5). Let b(v) = 2 + 3 - 7*v**f + 2*v**2 + 0. Let r(y) = -13*b(y) - 6*x(y). Factor r(l).
-(l - 1)*(l + 1)
Let b(q) be the first derivative of -q**2 + 6 + 6*q - 2*q**3 + 1/2*q**4. Factor b(r).
2*(r - 3)*(r - 1)*(r + 1)
Let s(a) = -a**2 - 4*a - 2. Let q be s(-2). Determine n so that -2*n**3 + 7*n**3 - 3*n**2 - 7*n**q + 5*n = 0.
0, 1
Find h, given that 54*h - 4