5*c**2 = 0. Calculate c.
-102
Let b(y) = 2*y - 3. Let z(j) = j - 1. Let u(x) = 2*b(x) - 5*z(x). Let n(o) = -2*o**2 + 6*o - 16. Let s(l) = -n(l) + 6*u(l). Factor s(c).
2*(c - 5)*(c - 1)
Let k(w) = -w**3 - 14*w**2 + 3*w + 41. Let q be k(-14). Let t be 8/12*(q - (-8)/2). Solve 0 + 18/5*y**t + 2*y**4 - 24/5*y**3 - 4/5*y = 0 for y.
0, 2/5, 1
Let k(q) = -q**2 - 1. Let o(t) = t**3 + 5*t**2 + 4*t + 1. Let w(m) = -5*k(m) - 5*o(m). Suppose w(b) = 0. What is b?
-2, 0
Let j = 9661/12 + -805. Let s(c) be the first derivative of -7 + 0*c + j*c**4 + 0*c**2 + 0*c**3. Factor s(b).
b**3/3
Suppose 811 + h**4 + 4*h**3 - 815 + 3*h**2 - 8*h + 4*h = 0. What is h?
-2, -1, 1
Let t(j) = -3*j**2 + 31*j + 54. Let c(h) = -2*h**2 + 30*h + 52. Let z(b) = -5*c(b) + 4*t(b). Find i, given that z(i) = 0.
-11, -2
Let b(a) be the third derivative of -a**6/140 - 2*a**5/35 - a**4/28 + 6*a**3/7 - 21*a**2 - 7. Factor b(s).
-6*(s - 1)*(s + 2)*(s + 3)/7
Suppose -5*i = 4*g - 2, 0 = -21*g + 18*g + i + 11. Let r(h) be the second derivative of 1/10*h**4 - 8*h - 1/50*h**5 - 4/5*h**2 + 0 + 0*h**g. Solve r(p) = 0.
-1, 2
Find c such that 0 + 1/2*c**5 + 13/2*c**2 - 7/2*c**3 - 1/2*c**4 - 3*c = 0.
-3, 0, 1, 2
Let d(m) be the first derivative of 4*m**3/21 - 292*m**2/7 + 21316*m/7 + 241. What is u in d(u) = 0?
73
Let n = -240 - -153. Let d be (-1)/(5 + n/6). Suppose -6/19 + 8/19*o - d*o**2 = 0. Calculate o.
1, 3
Let b(a) be the second derivative of a**5/180 - 13*a**4/108 - 7*a**3/27 - 156*a. Factor b(w).
w*(w - 14)*(w + 1)/9
Let -24*t**4 - 60*t**2 + 48*t + 44*t**2 - 14*t**3 - 134*t**3 = 0. What is t?
-6, -2/3, 0, 1/2
Let q be (-6)/15 - 24/(-10). Factor -19*c**4 - c**q - c**2 - 4*c**3 + 4*c + 21*c**4.
2*c*(c - 2)*(c - 1)*(c + 1)
Let o(x) = -1004*x + 9039. Let f be o(9). Factor -2*n**2 - 1/3*n**f + 0 + 0*n.
-n**2*(n + 6)/3
Factor 90/11 - 8/11*p - 2/11*p**2.
-2*(p - 5)*(p + 9)/11
Find r, given that 2/9*r - 4/3 + 2/9*r**2 = 0.
-3, 2
Let g be ((-10)/(-15))/(2/33). Factor g*s**2 + 2*s - 4*s - 6*s**2 - 4*s**2.
s*(s - 2)
Suppose 0 = -n - 2*g - 12, -n + g = 4*g + 15. Let m(l) = 5*l**2 - 3*l - 2. Let a(o) = -o**2 + o. Let c(i) = n*a(i) - m(i). Factor c(d).
(d - 2)*(d - 1)
Factor -17/5*p + 3/5*p**3 + 4/5*p**2 - 6/5.
(p - 2)*(p + 3)*(3*p + 1)/5
Suppose -5*m + 3*a = -2*m - 12, 3*a = -5*m + 20. Let -2*k**2 + m*k**2 + 7*k + 2*k**3 - 12 - 15*k + 4 = 0. Calculate k.
-2, -1, 2
Let t(o) be the third derivative of o**5/15 + 7*o**4/2 + 160*o**3/3 + 56*o**2. Solve t(g) = 0.
-16, -5
Factor 206*n + 23 - 2*n**2 - 81*n + 49 - 2*n**2 - 97*n.
-4*(n - 9)*(n + 2)
Suppose -v - v = 0. Suppose 2*u + v*u = 0. Suppose 10*j - 2 - 2*j**4 + 6 + 6*j**2 - 2*j**3 + u*j**2 = 0. What is j?
-1, 2
Determine a, given that -2/9*a**2 + 0 - 70/3*a = 0.
-105, 0
Let m be 15/105*(-1155)/(-30). Solve -5/2 - m*h - 1/2*h**3 - 7/2*h**2 = 0.
-5, -1
Find w such that 0*w**2 - 18/13*w**3 + 0*w + 12/13*w**4 - 2/13*w**5 + 0 = 0.
0, 3
Let i = -312 + 315. Let l(y) be the first derivative of 0*y - 3/4*y**4 - 3/5*y**5 + y**i + 1/2*y**6 + 0*y**2 + 4. Factor l(z).
3*z**2*(z - 1)**2*(z + 1)
Let p = -89 + 92. Factor 13 - 27 - 2*w**2 - 6*w**p + 14.
-2*w**2*(3*w + 1)
Suppose 27*n = 24*n + 6. Factor -40*h**2 - 22*h - 75 + 54*h + 3*h**3 + 73*h + 7*h**n.
3*(h - 5)**2*(h - 1)
Let j(n) be the second derivative of 0*n**3 + 1/12*n**2 - 1/36*n**4 + 0*n**5 + 0 + 13*n + 1/180*n**6. Determine r so that j(r) = 0.
-1, 1
Let j(c) be the second derivative of c**6/1080 - c**5/180 + c**4/72 - 11*c**3/6 - 2*c. Let t(s) be the second derivative of j(s). Factor t(o).
(o - 1)**2/3
Let s(m) = 80*m**4 - 440*m**3 + 865*m**2 - 575*m - 35. Let a(o) = -9*o**4 + 49*o**3 - 96*o**2 + 64*o + 4. Let f(x) = -35*a(x) - 4*s(x). Factor f(g).
-5*g*(g - 6)*(g - 2)*(g - 1)
Let n(d) = -10*d**2 + 78*d + 18. Let q be n(8). Factor -1/11*u**q + 1/11*u**4 + 1/11*u**5 + 0*u + 0 - 1/11*u**3.
u**2*(u - 1)*(u + 1)**2/11
Let y(h) be the second derivative of -4/3*h**3 + 0 + 1/6*h**4 + 4*h**2 + 11*h. Factor y(a).
2*(a - 2)**2
Let k be (-89)/(-360) - 3/27*2. Let f(p) be the third derivative of -1/15*p**5 + k*p**6 + 1/3*p**3 - 1/24*p**4 + 0*p + 0 - 4*p**2. Solve f(q) = 0 for q.
-2/3, 1
Let h = -54 + 45. Let y = h + 21/2. Factor 3/2*m**2 + y*m - 3.
3*(m - 1)*(m + 2)/2
Let l(s) = -2*s**2 - 133*s - 90. Let j(c) = c**2 + 133*c + 90. Let k(q) = 5*j(q) + 4*l(q). Solve k(x) = 0 for x.
-2/3, 45
Factor 9/5 + 9/5*m - 1/5*m**3 - 1/5*m**2.
-(m - 3)*(m + 1)*(m + 3)/5
Let z be (17 - 23)*(4/10 + 357/(-855)). Factor -z*w**2 + 16/19*w - 24/19.
-2*(w - 6)*(w - 2)/19
Let l(z) = -2*z**3 + 10*z**2 - 4*z + 4. Let j(v) = 3*v**3 - 19*v**2 + 7*v - 7. Suppose 2 + 18 = -5*q. Let x(c) = q*j(c) - 7*l(c). Let x(g) = 0. What is g?
-3, 0
Let m be 4/(-14) - 2346/14. Let f = 169 + m. Factor 2/7 + 2/7*t**4 + 8/7*t**3 + f*t + 12/7*t**2.
2*(t + 1)**4/7
Let j(p) be the first derivative of 2*p**3/39 + 9*p**2/13 + 28*p/13 - 150. Factor j(c).
2*(c + 2)*(c + 7)/13
Let g(h) be the second derivative of -h**4/120 - h**3/10 - h**2/4 + h - 73. Suppose g(o) = 0. Calculate o.
-5, -1
Factor -1/5*p**5 - p**4 + 2/5*p**2 + 3/5 + 7/5*p - 6/5*p**3.
-(p - 1)*(p + 1)**3*(p + 3)/5
Let h(b) be the second derivative of 0 + b**2 - 5/3*b**3 + 3/8*b**4 - 6*b. Factor h(x).
(x - 2)*(9*x - 2)/2
Factor 13*q**2 + 0 - 1/4*q**3 - 169*q.
-q*(q - 26)**2/4
Let v = 566 - 561. Let c(y) be the second derivative of -125/42*y**7 + 0 - 2/3*y**4 + 0*y**3 - 3*y**5 - v*y**6 - 3*y + 0*y**2. Factor c(s).
-s**2*(5*s + 2)**3
Factor 12*l - 8*l - 40*l + 5 - 4*l**2 - 5.
-4*l*(l + 9)
Factor 30579*m**2 - 8192 - 4596*m - 30331*m**2 - 4*m**3 + 1012*m.
-4*(m - 32)**2*(m + 2)
Let a(j) be the second derivative of -j**8/2240 - j**7/140 - 3*j**6/80 + j**4/2 + 22*j. Let d(l) be the third derivative of a(l). Determine p so that d(p) = 0.
-3, 0
Suppose 5*s + 0*p - 35 = 5*p, -2*p + 10 = 0. What is x in -5*x + 3537*x**2 - s*x - 8*x - 3532*x**2 + 20 = 0?
1, 4
Let u(w) be the third derivative of w**6/24 + 3*w**5/40 - w**4/4 + w**3/6 + 6*w**2. Let a(b) be the first derivative of u(b). Let a(m) = 0. What is m?
-1, 2/5
Let i(h) = -h**3 - 10*h**2 + 14. Let b be i(-10). Let p(f) = f**3 - 15*f**2 + 13*f + 16. Let d be p(b). Solve -2*k**2 + 4 + 4*k + d*k + 3*k**2 - 2*k = 0.
-2
Let 7*o - 16*o**2 + 17*o**2 + o + 1020 - 1040 = 0. What is o?
-10, 2
Let a(h) be the first derivative of -4*h**5/5 - 21*h**4/4 - 11*h**3 - 19*h**2/2 - 3*h - 212. Factor a(j).
-(j + 1)**2*(j + 3)*(4*j + 1)
Let f(j) = j**3 + j**2 - j + 1. Let x = 0 - 2. Let r(l) = -5 - 13*l**3 - 17*l**2 + l - 18*l**3 + 33*l**3. Let a(b) = x*r(b) - 10*f(b). What is i in a(i) = 0?
-2/7, 0, 2
Suppose 4*q - 7 = 1. Let u(k) be the first derivative of -2*k**2 + 0*k**q - 7*k**2 - 27*k + 4 - k**3. Find s such that u(s) = 0.
-3
Suppose -5*j + 3*i - 1 = 3, 4*j = 3*i - 5. Let g be j/1*(-6 - -11). Solve -2*x**4 + 3*x**4 + 8*x - 36*x**3 + 28*x**g - 20*x**2 + 19*x**4 = 0.
-1, 0, 2/7, 1
Let u be 11/(33/2 - 11). Let w = 274/1751 + -4/103. Find h, given that -w*h + 4/17*h**u - 2/17*h**3 + 0 = 0.
0, 1
Determine o, given that -1/5*o**5 + 1/5*o**3 + 4/5*o**2 + 0*o - 4/5*o**4 + 0 = 0.
-4, -1, 0, 1
Suppose -8*k = -12*k + 24. Let u be (k/(-9))/((-5)/30). Factor 0*g**3 - 3/5 + 6/5*g**2 + 0*g - 3/5*g**u.
-3*(g - 1)**2*(g + 1)**2/5
Let i(b) be the first derivative of -b**3/12 + 9*b/4 + 37. Solve i(p) = 0.
-3, 3
Determine m, given that 18/5*m + 0 + 2/5*m**4 + 22/5*m**3 + 38/5*m**2 = 0.
-9, -1, 0
Let c(y) be the second derivative of -6/7*y**2 + 1 + 3/35*y**5 - 13/14*y**3 - 2*y + 13/28*y**4. Determine j so that c(j) = 0.
-4, -1/4, 1
Suppose 7 - 7 = 15*t. Let b(p) be the third derivative of -5*p**2 + 0*p**3 + 1/120*p**6 - 1/20*p**5 + t + 0*p + 1/12*p**4. Factor b(u).
u*(u - 2)*(u - 1)
Let s(i) be the first derivative of -i**4 - 28*i**3/3 + 16*i**2 + 158. Factor s(w).
-4*w*(w - 1)*(w + 8)
Let n(a) be the third derivative of 0*a**3 - 1/12*a**5 - 5/4*a**4 + 0 + 0*a - 4*a**2. Factor n(q).
-5*q*(q + 6)
Let l = 1121960/9 - 124804. Let k = l - -142. Factor -8/3*a - 4/3*a**2 - 16/9 - k*a**3.
-2*(a + 2)**3/9
Let b(q) be the second derivative of 5*q**7/21 + 7*q**6/15 - 67*q**5/40 - 55*q**4/12 - 13*q**3/3 - 2*q**2 + 56*q - 1. Suppose b(l) = 0. Calculate l.
-2, -1/2, -2/5, 2
Let t(k) = -k**3 + 4*k**2 + 6*k - 1. Let h be 2/(8/2)*5*2. Let d be t(h). Find g, given that 0 - 9/4*g**3 - 3/4*g**d + 0*g**2 + 3*g = 0.
-2, 