5 - t*b**7. Let s(h) = 0. What is h?
-2, -1, 0, 1
Let o(x) = -x**2 - 9*x - 4. Let g(s) = -2. Let h(n) = 2*g(n) + o(n). Determine k so that h(k) = 0.
-8, -1
Let 423*s + 346 - 347*s - 10 + 4*s**2 = 0. What is s?
-12, -7
Let a(b) be the first derivative of -b**4/4 + 30*b**3 - 2025*b**2/2 + 6. Determine m, given that a(m) = 0.
0, 45
Let g(o) be the first derivative of -o**5/75 + o**4/20 + 2*o**3/15 + 5*o**2 + 28. Let i(r) be the second derivative of g(r). Let i(t) = 0. Calculate t.
-1/2, 2
Let r be 1 + 1 - (12/14)/((-273)/(-637)). Factor 0*p + r + 0*p**2 + 1/5*p**4 + p**3.
p**3*(p + 5)/5
Suppose -3*x - 6*g = -2*g - 24, 12 = 4*g. Let t = 27 + -77/3. Factor 0 + 2*d**2 - 2/3*d**x + 0*d + t*d**3.
-2*d**2*(d - 3)*(d + 1)/3
Let w = -60 - -64. Suppose -2*x = -6 - w, 5 = 5*p - x. Factor -3 - 15/4*z**p - 6*z - 3/4*z**3.
-3*(z + 1)*(z + 2)**2/4
Suppose 2*w = 3*x - 1583, w = -5*x - 0*w + 2621. Solve 125*b**5 - 650*b**4 + 32*b**2 + x*b + 1077*b**3 - 1212*b**2 - 90 - 516*b**3 + 709*b**3 = 0 for b.
3/5, 1, 2
Let h(z) be the second derivative of 3*z**5/5 - 169*z**4/3 - 76*z**3 - 3*z + 13. What is m in h(m) = 0?
-2/3, 0, 57
Suppose 0 = 5*m - 4*j - 6 - 12, 0 = m + 5*j + 8. Let p = 0 + m. Find f, given that -2/3 + 5/3*f - 2/3*f**p = 0.
1/2, 2
Let d(y) be the third derivative of 0 + 0*y + 1/25*y**5 - 1/5*y**3 - 7/40*y**4 - 33*y**2. Factor d(o).
3*(o - 2)*(4*o + 1)/5
Let o(a) = -a**3 - 50*a**2 + 109*a - 56. Let d(m) = -51*m**2 + 111*m - 57. Let j(h) = -2*d(h) + 3*o(h). Factor j(y).
-3*(y - 1)**2*(y + 18)
Suppose 25*v = 27*v + 2*u - 18, -v + 5*u = 33. Find p such that 9/2*p - 27 - 141*p**3 - 15/2*p**5 + 57*p**4 + 114*p**v = 0.
-2/5, 1, 3
Factor -9 + 11/4*v**2 + 11/8*v**3 + 1/8*v**4 - 15/2*v.
(v - 2)*(v + 1)*(v + 6)**2/8
Let d = 5 - 3. Let f be (20/75)/(48/40). Solve -f + 0*m + 2/9*m**d = 0.
-1, 1
Let n(f) be the third derivative of -f**8/1008 - 2*f**7/63 - f**6/10 + 230*f**2. Determine h so that n(h) = 0.
-18, -2, 0
Suppose j = 3*g - 6, 261 = 2*j + 2*g + 249. Factor -3/2*x**j + x**2 + 0 + 0*x.
-x**2*(3*x - 2)/2
Let w(j) be the first derivative of -j**5/70 + j**3/21 + 7*j - 13. Let f(k) be the first derivative of w(k). Factor f(o).
-2*o*(o - 1)*(o + 1)/7
Let r(w) = -27*w**2 - 38*w - 1. Suppose u = -3*f + 5*u + 1, 12 = -3*u. Let i(g) = -27*g**2 - 39*g. Let n(x) = f*i(x) + 6*r(x). Factor n(b).
-3*(b + 1)*(9*b + 2)
Let a(h) = 10*h**4 + 26*h**3 + 36*h**2 + 4*h. Let r(x) = -4*x + x + x**2 + x**4 + 4*x - 2*x. Let v(d) = -a(d) + 4*r(d). Let v(i) = 0. Calculate i.
-2, -1/3, 0
Let u(a) be the first derivative of 5*a**4/2 - 74*a**3/3 + 14*a**2 + 42. Factor u(k).
2*k*(k - 7)*(5*k - 2)
Suppose c - 7 + 3 = 0. Factor q**2 - 5*q**2 - 2*q**5 + 6*q + 4*q**c - 4*q + 0*q**2.
-2*q*(q - 1)**3*(q + 1)
Let z(n) be the third derivative of n**6/80 - n**5/5 + 13*n**4/16 - 3*n**3/2 - 17*n**2 - 4*n. Let z(k) = 0. Calculate k.
1, 6
Suppose -3*q + 9 = 0, -2 = -4*m - q + 1. Suppose -w + 6 + 1 = m. Factor -4*h**3 + 0*h**3 + w*h**3.
3*h**3
Let h(u) be the second derivative of -u**9/5292 + u**8/1176 - u**6/252 + u**5/210 + 11*u**3/6 + 15*u. Let g(v) be the second derivative of h(v). Solve g(b) = 0.
-1, 0, 1/2, 1, 2
Let i = 15 - -33. Let m = -9 + 11. Let m*t**3 - 2*t + i - 27 - 23 + 2*t**2 = 0. What is t?
-1, 1
Let s = -5923 - -23695/4. Solve -1/2 + s*j - 1/4*j**2 = 0.
1, 2
Let p be (-16)/(-5 - -3) + -2. Let y be p + -5 - 22/(-5). Suppose -6/5 - 3*r**3 - y*r - 36/5*r**2 = 0. Calculate r.
-1, -2/5
Suppose 2/9*j**2 + 0 - 2/9*j**3 + 4/3*j = 0. What is j?
-2, 0, 3
Suppose 56*u = 191 + 145. Let k(b) be the second derivative of b**2 + 0 + 0*b**4 - 1/5*b**5 + 2/3*b**3 + 3*b - 1/15*b**u. Factor k(r).
-2*(r - 1)*(r + 1)**3
Suppose 222 = 4*b + 2*b. Factor -5*n**2 - b*n + 24*n - 15 + 33*n.
-5*(n - 3)*(n - 1)
Let m(j) = 30*j**2 - 25*j. Suppose c - 10 = -3*f + f, -5*f = 2*c - 26. Let y(h) = 5*h**2 - 4*h. Let q(t) = f*m(t) - 35*y(t). What is p in q(p) = 0?
0, 2
Determine k, given that 1/6*k**3 - 4/3 + 1/2*k**2 - k = 0.
-4, -1, 2
Let g(c) be the third derivative of -c**7/70 + c**5/4 - 2*c**3 - 39*c**2 + c. Suppose g(h) = 0. What is h?
-2, -1, 1, 2
Let b(a) be the second derivative of a**9/45360 - a**7/7560 - a**4/6 - 5*a. Let d(g) be the third derivative of b(g). Find y, given that d(y) = 0.
-1, 0, 1
Let t(w) be the third derivative of w**8/56 - 188*w**7/1365 + 24*w**6/65 - 24*w**5/65 + 4*w**4/39 + 237*w**2. Suppose t(m) = 0. Calculate m.
0, 2/13, 2/3, 2
Let r = -8232 + 8234. Factor 6 - 3/2*w**r + 9/2*w.
-3*(w - 4)*(w + 1)/2
Suppose 5*n - 10 = -5*u, u - 4*u = -4*n + 15. Determine m so that 5*m + m - 8*m**3 + 4*m**2 + 11*m**n + 5*m**2 = 0.
-2, -1, 0
Suppose 2*z - 2*p - 36 = 0, -6*z = -p - 160 + 82. Factor z*y + 0 - 4/3*y**2.
-4*y*(y - 9)/3
Suppose -78*r + 98*r = 80. Let o(v) be the third derivative of 0*v**3 + 0 - 1/30*v**r + 8*v**2 - 1/150*v**5 + 0*v. Factor o(n).
-2*n*(n + 2)/5
Let o(b) be the third derivative of 0*b**3 + 0*b + 1/160*b**6 - 1 - 1/80*b**5 + 3*b**2 + 1/96*b**4 - 1/840*b**7. Factor o(m).
-m*(m - 1)**3/4
Let z(s) = -3*s**2 - 7*s - 6. Let f be z(-1). Let a be (-1)/(-7)*-2 - f/7. Factor a - 2/3*u + 2/3*u**2.
2*u*(u - 1)/3
Let a(d) be the second derivative of -5*d**9/3024 - d**8/84 - d**7/56 + 11*d**3/3 + 5*d. Let b(i) be the second derivative of a(i). Factor b(c).
-5*c**3*(c + 1)*(c + 3)
Let l(s) be the second derivative of 0*s**2 - 2/5*s**5 + 0*s**3 - 2*s - 1/15*s**6 - 1/2*s**4 - 17. Factor l(t).
-2*t**2*(t + 1)*(t + 3)
Let t(o) = 2*o + 40. Let g be t(-19). Let y(l) = -20*l**2 - 10*l - 4. Let u(k) = -k**2 - k - 1. Let s(v) = g*y(v) - 44*u(v). Factor s(d).
4*(d + 3)**2
Let q = -22 - -21. Let n(f) = 4*f**2 + 3*f + 3. Let h(t) = -t**2 - t - 1. Let p(k) = q*n(k) - 3*h(k). Factor p(c).
-c**2
Factor -785 + 832 - b**2 + 36*b + 10*b.
-(b - 47)*(b + 1)
Let c(x) be the second derivative of 9*x - 1/30*x**3 + 0 + 1/60*x**4 + 0*x**2. Factor c(s).
s*(s - 1)/5
Let h(p) = -32*p**2 + 8*p. Let i(v) = 13*v**2 - 3*v. Let r = -15 + 15. Suppose m + r*m - 12 = 0. Let d(j) = m*i(j) + 5*h(j). Find a, given that d(a) = 0.
0, 1
Suppose -13 = -4*d - 1. Let i(h) = -h**4 - h**3 + h**2 - h + 1. Let u(k) = 5*k**4 - 15*k**3 - 5*k**2 + 9*k + 3. Let o(r) = d*i(r) - u(r). What is c in o(c) = 0?
-1, 0, 1, 3/2
Let v(l) = 5*l**4 - 24*l**3 - 20*l**2 + 76*l - 12. Let a(r) = 10*r**4 - 47*r**3 - 40*r**2 + 153*r - 21. Let x(j) = 4*a(j) - 7*v(j). Solve x(h) = 0.
-2, 0, 2, 4
What is w in 2*w - 4 - 2*w**4 - 126*w**2 + 0*w**3 - 2*w**3 + 0*w**3 + 132*w**2 = 0?
-2, -1, 1
Let f = -34019/70 + 486. Let w(o) be the second derivative of 3/14*o**4 + 16/7*o**2 - 8/7*o**3 + o + 0 - f*o**5. Suppose w(j) = 0. What is j?
1, 4
Determine o so that 2/9*o**2 - 4/9*o - 16/9 = 0.
-2, 4
Let a(k) = 6*k**4 - 108*k**3 + 697*k**2 - 1939*k + 1944. Let v(n) = -3*n**4 + 54*n**3 - 349*n**2 + 970*n - 972. Let x(h) = -2*a(h) - 5*v(h). Factor x(q).
3*(q - 6)**2*(q - 3)**2
Let c(h) be the first derivative of -1/3*h**3 + 12 + 0*h + 0*h**2 + 3/4*h**4. Factor c(w).
w**2*(3*w - 1)
Factor -7*o - 3*o - 4*o**2 - 4*o + 10*o.
-4*o*(o + 1)
Let w be 8/14*14*(-1)/(-4). Find j such that -j + 6*j**2 - j - 4*j**w = 0.
0, 1
Let u = 4760 - 33316/7. Factor 0 + u*c**2 + 8/7*c.
4*c*(c + 2)/7
Suppose -369*c = -342*c - 162. Factor 9*i + c - 9/4*i**3 - 3/2*i**2.
-3*(i - 2)*(i + 2)*(3*i + 2)/4
Factor 2101 + 15*r**2 + 2*r**4 + r**4 + 18*r**3 - 2101.
3*r**2*(r + 1)*(r + 5)
Let o(b) = -2*b + 1. Let t be o(-2). Let s be 4 + (2 - 1)/((-9)/36). Factor s*j**5 - j**4 - 5*j + t*j**5 + 10*j**2 + 0*j**4 - 9*j**4.
5*j*(j - 1)**3*(j + 1)
Let z(u) be the second derivative of 37*u + 0*u**3 + 0*u**6 + 0 - 1/10*u**5 + 0*u**4 + 1/21*u**7 + 0*u**2. Solve z(t) = 0 for t.
-1, 0, 1
Let r(i) be the first derivative of 35*i**3/9 - 23*i**2/4 - i/6 + 206. Let r(b) = 0. Calculate b.
-1/70, 1
Let k = 20082 + -20082. Suppose 1/9*b**4 + 4/9*b**3 - 4/9*b**2 + k + 0*b - 1/9*b**5 = 0. Calculate b.
-2, 0, 1, 2
Let z(s) be the first derivative of -2*s**3/15 - 18*s**2/5 + 16*s - 169. Factor z(h).
-2*(h - 2)*(h + 20)/5
Let x(k) be the first derivative of k**3/6 + 11*k**2/4 - 89. Factor x(m).
m*(m + 11)/2
Let t(u) = -u**3 + u**2 + u - 1. Let k(l) = -l**4 + 30*l**3 - 198*l**2 - 2*l + 2. Let m(g) = k(g) + 2*t(g). Solve m(h) = 0 for h.
0, 14
Let l(s) be the second derivative of -1 + 1/90*s**6 + 0*s**3 + 17*s + 4/15*s**5 + 0*s**2 + 16/9*s**4. 