**5/15 - 5*h**4/18 + 14*h**3/9 + 8*h**2/3 - 2*h + 51. Determine c, given that q(c) = 0.
-4, -1/2, 2
Let 2*h**5 + 4/3*h**2 + 0 - 34/3*h**3 + 16/3*h - 16/3*h**4 = 0. Calculate h.
-1, 0, 2/3, 4
Determine b so that -9/8*b + 1/8*b**2 + 1 = 0.
1, 8
Suppose -22/9*l**2 - 8/3*l + 2/3*l**4 + 2/9*l**5 - 8/9 - 2/9*l**3 = 0. What is l?
-2, -1, 2
Let o(i) = -4*i**2 + 202*i + 195. Let b(t) = t**2 - 68*t - 65. Let y(m) = -11*b(m) - 4*o(m). Factor y(f).
5*(f - 13)*(f + 1)
Let -1/2*q**3 + 0*q + q**2 + 0 = 0. Calculate q.
0, 2
Let x = -269 + 274. Let o(q) be the second derivative of -1/33*q**3 + 1/55*q**6 + 0*q**2 - 7/110*q**5 + x*q + 5/66*q**4 + 0. Factor o(n).
2*n*(n - 1)**2*(3*n - 1)/11
Let n(d) = 21 - 4*d + 2*d + 2*d + d**2. Let t(f) = -4. Let u(m) = -2*n(m) - 11*t(m). Find z such that u(z) = 0.
-1, 1
Let i be (598/364)/23*56. Solve 16/5*g**i - 36/5 - 42/5*g + 4*g**2 + 8*g**3 + 2/5*g**5 = 0 for g.
-3, -2, -1, 1
Factor 10/3*z - 7/3*z**2 - 1.
-(z - 1)*(7*z - 3)/3
Let x(h) = -h**3 + h + 2. Let q be 3 + -1 + 2 + -2. Let s(a) = a**2 + 1. Let c be 0/(-7) - (2 - 0). Let i(o) = c*s(o) + q*x(o). Let i(u) = 0. Calculate u.
-1, 1
Let t be (36/126)/((-7)/((-686)/35)). Find u such that -1/5*u**2 + t - 3/5*u = 0.
-4, 1
Suppose -b = -4*a + 132, b + 3*a + 2*a = -177. Let n be (-10)/95 + (-130)/b. Suppose 3/4*p**2 - n + 0*p = 0. What is p?
-1, 1
Let o = -228/7 + 1154/35. Let k(b) be the second derivative of 0 + o*b**3 + 3/50*b**5 - 3/10*b**2 - 6*b - 1/4*b**4. Suppose k(n) = 0. What is n?
1/2, 1
Let u = 9 + -7. Suppose 0*a - a + u = 0. Factor -2*r**3 + 8*r**3 - 10*r + 8*r**a - 4 - r**3 + r**3.
2*(r - 1)*(r + 2)*(3*r + 1)
Factor -9*r**4 + 16*r**3 - 5*r**3 + 24 - 124*r + 85*r**2 - 15*r**2.
-(r - 2)**2*(r + 3)*(9*r - 2)
Let f(n) be the first derivative of 3*n**4/4 - 9*n**2/2 - 6*n + 51. Factor f(i).
3*(i - 2)*(i + 1)**2
Let v(o) = -o**2 + 26*o + 4. Let g be v(26). Suppose -4*p + 6 = -2, -j + g = p. Determine i so that 3/2*i**j + 9/2 + 15/2*i - 3/2*i**3 = 0.
-1, 3
Suppose -34*t + 77*t = 172. Factor 2*y + 3/2*y**2 + 1/2*y**t - 2*y**3 - 2.
(y - 2)**2*(y - 1)*(y + 1)/2
Let k(r) = -r**3 + r**2 - r + 1. Let h(i) = -i**3 - 4*i**2 + 3*i + 2. Let x(s) = 2*h(s) - 4*k(s). Factor x(d).
2*d*(d - 5)*(d - 1)
Suppose 0*p - 5*p - 48 = -2*q, 0 = -q - 3*p + 35. Let r = 59/2 - q. Suppose -1/2*c**2 + r + 0*c = 0. Calculate c.
-1, 1
Suppose 2*u + 5*f = 30, 4*u = -12*f + 13*f + 16. Let i(g) be the second derivative of 1/50*g**u - 2/5*g**2 + 0 - 1/5*g**3 + 0*g**4 + g. Factor i(y).
2*(y - 2)*(y + 1)**2/5
Let h(k) = 37*k + 187. Let x be h(-5). Factor 0 - 1/2*a**3 + 1/3*a**x + 0*a + 1/6*a**4.
a**2*(a - 2)*(a - 1)/6
Suppose 9 = -11*p + 18*p - 4*p. Find i, given that -1/3*i**4 - 11*i**2 - 10/3*i**p - 40/3*i - 16/3 = 0.
-4, -1
Let n(x) be the third derivative of 0 + 1/660*x**6 - 1/66*x**4 + 1/330*x**5 - 15*x**2 + 0*x**3 + 0*x. Factor n(m).
2*m*(m - 1)*(m + 2)/11
Suppose -6*v = 3*c - v + 28, 16 = -2*c - 4*v. Let h be (8 + -5)/((-6)/c). Determine z so that 36*z**4 + 72*z**3 - h*z - 12 - 14 + 32*z**2 + 22 = 0.
-1, -1/3, 1/3
Let v(y) = -2*y + 6. Let s be v(2). Suppose -35*x**s + 28*x**2 + 15*x - 1 - 8 + x**3 = 0. What is x?
1, 3
Suppose -4*n - 52 = -5*m, 3*m + 2*m - 3*n = 49. Let p = m - 6. Factor 0 + 2/9*y**3 - 4/9*y**p + 2/9*y.
2*y*(y - 1)**2/9
Let f = -80 - -82. Let j be (-2)/(-1) + (2 - f). Factor 1/5*y**j - 2/5 - 1/5*y.
(y - 2)*(y + 1)/5
Suppose 10 = -33*n + 28*n. Let g(a) = -a**2 - a + 1. Let d(b) = -55*b**2 - 11*b. Let k(w) = n*g(w) - d(w). Factor k(h).
(3*h + 1)*(19*h - 2)
Let n(b) be the first derivative of -1/3*b**4 - 8/3*b + 8/3*b**2 + 2/15*b**5 - 2/3*b**3 - 12. Factor n(l).
2*(l - 2)*(l - 1)**2*(l + 2)/3
Find q, given that -1/3*q**2 + 1/9*q**4 - 4/3*q**3 + 38/9*q - 8/3 = 0.
-2, 1, 12
Let v = -20 + 107. Let c = v - 84. Determine q so that 0 - 2/3*q**2 + 0*q + 0*q**c + 2/3*q**4 = 0.
-1, 0, 1
Let n = 2 + 0. Suppose 0 = 5*d - 2*v - 12, 6*d + 5*v = 2*d + 3. Find o such that 6*o**n - 4*o**3 + 16*o - 22*o**d + 8*o**3 = 0.
0, 2
Let a(d) be the second derivative of 4*d**5/25 + 106*d**4/15 - 43*d**3/6 + 27*d**2/10 - 763*d. Solve a(u) = 0.
-27, 1/4
Determine z, given that -51/4*z + 3*z**4 + 35/2*z**2 + 7/2 - 11*z**3 - 1/4*z**5 = 0.
1, 2, 7
Let h = 564 - 557. Let m(c) be the first derivative of 1/2*c**3 - h + 0*c + 0*c**2. Solve m(q) = 0.
0
Suppose -3*d - 2*w - 11 + 1 = 0, 2*d - 5*w - 25 = 0. Let o(h) be the second derivative of 1/4*h**4 - 4*h + d*h**2 + 0 + 3/20*h**5 - h**3. Solve o(r) = 0 for r.
-2, 0, 1
Let h(i) = -4*i + i**2 + 5*i + 4 - 3*i. Let a be h(2). Determine z, given that 40*z**3 + 11*z**3 + 48*z**5 + 6*z**2 + 181*z**a - 61*z**4 = 0.
-2, -1/4, 0
Let d(j) be the third derivative of j**5/180 + 11*j**4/72 - 2*j**3/3 + 373*j**2. Factor d(b).
(b - 1)*(b + 12)/3
Suppose 8 = -c + 5*c. Determine z, given that -3*z**2 + 25 - 30*z + 6*z**c + 50 = 0.
5
Suppose -17*f + 625 = -12*f. Let t = 125 - f. Find h such that t - 4/9*h**2 + 0*h = 0.
0
Let n = 14655/2 - 7326. Factor -1/2*q**2 - 3/4 + 5/4*q**4 + 1/4*q**5 + n*q**3 - 7/4*q.
(q - 1)*(q + 1)**3*(q + 3)/4
Let t(p) be the third derivative of p**5/20 - 23*p**4/2 + 1058*p**3 + 2*p**2 + 80. Solve t(a) = 0 for a.
46
Let l(u) be the third derivative of 0 + 2*u**2 - 1/120*u**5 - 1/6*u**3 + 0*u - 1/360*u**6 + 1/12*u**4. Let j(c) be the first derivative of l(c). Factor j(o).
-(o - 1)*(o + 2)
Let g = 1 - -7. Let s = -2441 - -7339/3. Let 2/3*m**3 - 4*m**2 - s + g*m = 0. What is m?
2
Factor -3/5*a**2 - 72/5 - 42/5*a.
-3*(a + 2)*(a + 12)/5
Let s = 6 - 6. Suppose 3*n = -s*n + 6. Let -19*q**3 - 5*q**5 + 22*q**2 + 4*q**5 + 7*q**4 - 16*q - 5*q**n + 8*q**2 + 4 = 0. What is q?
1, 2
Let y(h) = 6*h**2 - 30*h - 16. Let g(r) = 3 + r + 0 - 4 + 0. Let f(o) = -4*g(o) - y(o). Suppose f(n) = 0. Calculate n.
-2/3, 5
Let v(w) be the first derivative of 0*w + 7/40*w**5 + 3/8*w**4 + 0*w**2 + 1/60*w**6 - 6 - 2*w**3. Let u(q) be the third derivative of v(q). Factor u(d).
3*(d + 3)*(2*d + 1)
Let q(o) be the first derivative of -8*o**5/5 - 3*o**4 + 16*o**3/3 + 6*o**2 - 8*o + 35. Find x such that q(x) = 0.
-2, -1, 1/2, 1
Let y be (1 + 0)/(8/24). Suppose -3*k + y + 42 = 0. What is s in -65 + 15 + k*s + 5*s - 2*s**2 = 0?
5
Let l = 4533/4 + -1133. Solve 5/4*z**2 - 2*z + 1 - l*z**3 = 0 for z.
1, 2
Let x be ((-4)/(-10))/((-7)/(-1540)). Let w = 133 - x. Find g, given that w*g**2 + 12 + 6*g**3 - 8*g**4 - 9*g**4 + 2*g**4 - 48*g = 0.
-2, 2/5, 1
Let c(k) = 3*k - 3. Let x be c(2). Suppose 3*g = -3, 16 + 0 = x*d - g. Factor -3*l**5 - 3*l**2 - 58*l**4 + d*l**3 + 61*l**4 - 2*l**3.
-3*l**2*(l - 1)**2*(l + 1)
Factor -4*h + 31428*h**2 + 52 - 4*h**3 + 8*h - 31480*h**2.
-4*(h - 1)*(h + 1)*(h + 13)
Let v be (12*(-10)/700)/((-1)/7). Let d(l) be the first derivative of -2/5*l**2 + v*l - 6 + 2/45*l**3. What is f in d(f) = 0?
3
Let f(t) be the first derivative of t**6/180 + 2*t**5/15 - 3*t**4/4 + 9*t**3 - 39. Let v(h) be the third derivative of f(h). Factor v(w).
2*(w - 1)*(w + 9)
Suppose 0 = -8*z + 5*z + 9. Let x(h) be the second derivative of 0*h**2 + 1/15*h**4 + 1/50*h**5 + 1/15*h**z + 0 + 3*h. Factor x(r).
2*r*(r + 1)**2/5
Let -38/7*l + 0 + 78/7*l**2 - 6*l**3 + 2/7*l**4 = 0. What is l?
0, 1, 19
Let c(s) be the third derivative of 5*s**8/336 + s**7/14 - 5*s**6/12 + s**5/6 + 15*s**4/8 - 25*s**3/6 - 4*s**2. What is d in c(d) = 0?
-5, -1, 1
Let x = -524 - -527. Let u(c) be the second derivative of 0 + 5*c + 8/7*c**2 + 10/7*c**x + 1/6*c**4. Factor u(q).
2*(q + 4)*(7*q + 2)/7
Let w = 6 + -6. Suppose w = -3*a - 5*l + 14, a - 4*l = -a + 2. Solve 15*r**3 + a*r**3 + 8*r**4 - 4*r**2 + 8*r**2 = 0 for r.
-2, -1/4, 0
Suppose -26*v + 180 = 34*v. Determine u so that -1/3*u**5 - 8/3*u**v - 4/3*u**2 + 0*u + 0 - 5/3*u**4 = 0.
-2, -1, 0
Let m be (-646)/20 - (-1)/(-2). Let h = -32 - m. Factor h + g**2 - 12/5*g.
(g - 2)*(5*g - 2)/5
Let a(u) be the third derivative of -u**5/30 - 13*u**4/6 + 9*u**2 + 9*u. Determine w, given that a(w) = 0.
-26, 0
Let g(y) be the first derivative of 80/3*y - 220/3*y**2 - 4 + 605/9*y**3. Factor g(f).
5*(11*f - 4)**2/3
Let b(p) be the second derivative of 5*p**5/18 + 365*p**4/54 - 149*p**3/27 + 5*p**2/3 - 636*p. Suppose b(l) = 0. What is l?
-15, 1/5
Let a be -1*3/3 - -4. Factor y**4 - 6*y**a - y + y**4 + y + 4*y**2.
2*y**2*(y - 2)*(y - 1)
Let c(y) be the second derivative of y**2 + 10*y - 1/30*y**6 + 1/6*y**