2 - 21 + 9*g + 31*g + 100*g**2.
5*(g + 1)*(g + 2)*(7*g - 2)
Let o(x) be the third derivative of -1/210*x**5 + 0*x**3 + 0*x + 0 - 1/3*x**4 + 12*x**2. Factor o(m).
-2*m*(m + 28)/7
Solve -94523*z + 85829*z + 1168877 + 5129926 + 3*z**2 + 0*z**2 = 0 for z.
1449
Factor 0 - 9*y + 37/4*y**2 - 1/4*y**3.
-y*(y - 36)*(y - 1)/4
Let m(o) = 2*o**3 + o**2 - o. Let x(t) = -5202*t**4 - 11430*t**3 - 2093*t**2 - 97*t. Let a(b) = -6*m(b) - 2*x(b). Factor a(j).
4*j*(j + 2)*(51*j + 5)**2
Let q(a) = -a**3 - 22*a**2 - 17*a + 91. Let k be q(-21). Factor -77*h + 7*h**2 + k*h**2 - 25*h + 5*h**2 + 7*h**2 + 126 - 2*h**3.
-2*(h - 7)*(h - 3)**2
Let a(p) = -p**3 - 29*p**2 + 28*p - 58. Let j be a(-30). Factor -20*u**2 - 54*u**3 - 49*u**5 + 18*u**5 + 30*u**5 - 20*u**4 - 32*u**j - 17*u.
-u*(u + 1)**3*(u + 17)
Suppose 24 = -0*s + 3*s. Suppose -195 = -47*t + 82 - 89. Find n, given that 37*n**5 - 17*n**5 - 28*n**3 - 4*n**2 - 12*n**2 + 4*n**2 + s*n + 12*n**t = 0.
-1, 0, 2/5, 1
Let n(p) = p**2 + 27602*p + 38087994. Let g(m) = 2*m**2 - m + 3. Let x(z) = -2*g(z) - n(z). Suppose x(k) = 0. What is k?
-2760
Let x(w) be the second derivative of 2*w + 0*w**4 - 1/30*w**6 + 0*w**3 - 1 - 1/112*w**7 + 0*w**2 - 1/40*w**5. What is m in x(m) = 0?
-2, -2/3, 0
Suppose 7 = -5*r - b + 4343, -3*r + 4*b + 2597 = 0. Factor 430*l**2 - l**3 + 443*l**2 - r - 391*l - 910*l**2.
-(l + 3)*(l + 17)**2
Let o(u) = -2*u**3 + 239*u**2 + 616*u - 729. Let r be o(122). Find p such that 2/9*p**r + 2/9*p + 4/9*p**2 + 0 = 0.
-1, 0
Suppose 17*r + 117 - 32 = 0. Let i(m) = m**2 - 1. Let b(c) = c**2 - 12*c + 107. Let n(w) = r*i(w) + b(w). Factor n(u).
-4*(u - 4)*(u + 7)
Factor 2085*m + 5 - 8 - 1629*m + 226*m**2 + 11.
2*(m + 2)*(113*m + 2)
Let t(h) = h**3 + 7*h**2 + 7*h. Let u be t(-6). Let b be -3 - (348/(-36) - u). Find g such that -2 - 4/3*g + b*g**2 = 0.
-1, 3
Let k(n) be the third derivative of 5/12*n**5 - 4/105*n**7 + 122*n**2 - 1/672*n**8 + 0*n + 14/3*n**4 - 61/240*n**6 + 0 + 32/3*n**3. Find s, given that k(s) = 0.
-8, -1, 2
Let h(r) be the second derivative of -r**7/1470 - r**6/105 + r**5/210 + r**4/7 - 49*r**3/3 - 111*r. Let z(s) be the second derivative of h(s). Factor z(u).
-4*(u - 1)*(u + 1)*(u + 6)/7
Let i = -131576711764/5271 - -24962381. Let j = -1/753 - i. Factor 0 - j*f + 2/7*f**2.
2*f*(f - 1)/7
Factor 0*a**3 + 261803308 + 4*a**3 + 760*a**2 + 1153943*a + 4076*a**2 + 794965*a.
4*(a + 403)**3
Suppose -270 = -170*t + 482*t - 894. Factor 0*l - 4/15*l**t - 2/15*l**3 + 2/15*l**4 + 0.
2*l**2*(l - 2)*(l + 1)/15
Let r(g) = -5*g - 44. Let p be r(-16). Suppose 8*m = -4*m + p. Suppose -4*w**4 + 0*w**3 + 108*w - 108*w**2 + 45*w**m - 9*w**3 = 0. Calculate w.
0, 3
Suppose -2382*d - 20972 = -8543*d - 2489. Determine z, given that -2 + 14*z - z**d + 11/2*z**4 - 33/2*z**2 = 0.
-2, 2/11, 1
Let o(t) be the third derivative of -t**8/2016 + t**7/630 + 17*t**6/720 + t**5/180 - 13*t**4/36 - 10*t**3/9 + 92*t**2 + 6*t. Let o(x) = 0. Calculate x.
-2, -1, 2, 5
Factor -1836*m - 199*m - 37062*m**2 - 1350 + 37047*m**2.
-5*(m + 135)*(3*m + 2)
Let u(g) be the third derivative of 20/27*g**3 - 1/540*g**6 + 0 - 11/108*g**4 + 0*g - 4/135*g**5 + 168*g**2. Factor u(r).
-2*(r - 1)*(r + 4)*(r + 5)/9
Let m = -816919/20 + 40846. Let i(c) be the second derivative of 0 + 0*c**3 - 1/40*c**5 + 17*c + 1/84*c**7 - 1/8*c**4 + 0*c**2 + m*c**6. Factor i(y).
y**2*(y - 1)*(y + 1)*(y + 3)/2
Let r(k) be the second derivative of 0*k**3 - 146*k + 1/70*k**5 + 4/7*k**4 + 0*k**2 + 0. What is b in r(b) = 0?
-24, 0
Let a(p) be the third derivative of -p**6/180 + p**5/15 + 5*p**4/12 + 41*p**3/3 + 2*p**2 + 98. Let k(n) be the first derivative of a(n). Factor k(b).
-2*(b - 5)*(b + 1)
Let d = 1460522/5 + -292093. Factor -24/5*b**2 + 3/5*b**3 - d*b - 6.
3*(b - 10)*(b + 1)**2/5
Solve 0 + 16*g - 7/2*g**2 = 0.
0, 32/7
Find o such that 376/7*o**3 - 152/7*o**2 + 542/7*o**4 + 0 + 0*o + 2*o**5 = 0.
-38, -1, 0, 2/7
Let f(j) be the first derivative of 0*j - 145 + 4/5*j**5 + 0*j**2 - 53/3*j**3 - 211/4*j**4. Suppose f(y) = 0. Calculate y.
-1/4, 0, 53
Let q(v) = -46*v**2 - 906*v + 5660. Let h(g) = 29*g**2 + 604*g - 3773. Let j(b) = -8*h(b) - 5*q(b). Factor j(r).
-2*(r - 6)*(r + 157)
Factor 324 + 240*x - 578*x + 18*x - 4*x**2.
-4*(x - 1)*(x + 81)
Let g be (8 + -7)/(((-10)/(-4))/5). Determine q, given that 64*q - 88*q**3 - 4*q**3 - 3*q**4 - 23*q**4 - 2*q**g + 6*q**4 + 6*q**2 + 16 + 28*q**5 = 0.
-1, -2/7, 1, 2
Let n be ((-1)/14)/(9 + 1898/(-208)). Factor -4/7*j**3 + 12/7*j**2 - 12/7*j + n.
-4*(j - 1)**3/7
Let j(i) = -15*i**3 + 2*i**2 - 8*i - 9. Let h be j(-1). Solve 0*v - 2*v + 4*v + 15*v**3 - v**2 - h*v**3 = 0 for v.
-2, 0, 1
Suppose -v = 6*z - 2*z - 256, 5*v = 0. Let s be z/28 - 10/35. Factor 481*t + 20*t**s + t**3 + 4*t**3 - 20*t**4 - 486*t.
-5*t*(t - 1)*(t + 1)*(4*t - 1)
Let j(w) = 6 + 15*w**3 + 64*w**2 - w + 11*w - 4*w. Let r(q) = -11 - 11*q**3 - 129*q**2 - 20*q**3 + q**3 - 11*q. Let y(m) = -11*j(m) - 6*r(m). Factor y(v).
5*v**2*(3*v + 14)
Let a(l) be the first derivative of -4*l**3/15 - 524*l**2/5 + 1389. Factor a(n).
-4*n*(n + 262)/5
Let z(o) be the first derivative of -134689*o**4/2 - 45141*o**3 - 735*o**2/4 - o/4 + 1088. Determine a so that z(a) = 0.
-1/2, -1/734
Let f(w) = w**3 + 9*w**2 + 14*w + 4. Suppose -4 = -t, s + 4*t - 1 = 2*t. Let b be f(s). Factor -2*c**2 + b + 12*c - c**2 + 4*c**3 + c**2 + 14*c**2.
4*(c + 1)**3
Let r be 124/8*1*-2. Let s = r - -35. Solve -9*t + s*t**2 + 13*t - 12*t = 0.
0, 2
Let z(b) be the second derivative of 2 + 46*b + 1/24*b**4 + 19*b**2 - 77/12*b**3. Suppose z(s) = 0. What is s?
1, 76
Let m(v) be the second derivative of -6*v**6/35 - 93*v**5/35 - 319*v**4/21 - 242*v**3/7 - 788*v. Factor m(p).
-4*p*(p + 3)*(3*p + 11)**2/7
Let h = 405 - 403. Suppose 0*v + 5*o + 33 = h*v, -1 = v + o. Find q such that -10/9*q + 8/9*q**3 + 8/9*q**v - 4/9*q**2 + 2/9*q**5 - 4/9 = 0.
-2, -1, 1
Suppose 3*u = -5*t + 76, -u + 5*t - 271 = -203. Solve 0 - 2/3*j**3 - 16/3*j**u - 8*j = 0 for j.
-6, -2, 0
Suppose 45*a - 43*a - 4*c = 4, 4*c + 2 = a. Let y(n) be the third derivative of -1/12*n**5 + 0 + 0*n + 25/24*n**4 + 18*n**a - 5*n**3. Factor y(x).
-5*(x - 3)*(x - 2)
Let d(j) be the first derivative of 27/4*j**4 + 83/3*j**3 - 49*j + 2/5*j**5 - 63/2*j**2 + 112. Find s, given that d(s) = 0.
-7, -1/2, 1
Factor 38031*a**2 - 76054*a**2 + 38028*a**2 - 60*a - 2465.
5*(a - 29)*(a + 17)
Let d(o) = -63*o**4 + 140*o**3 + 240*o**2 - 476*o - 20. Let s(k) = 253*k**4 - 566*k**3 - 960*k**2 + 1907*k + 81. Let y(l) = -17*d(l) - 4*s(l). Factor y(a).
(a - 2)**2*(a + 2)*(59*a + 2)
Factor -72/11*r + 14/11*r**2 + 10/11.
2*(r - 5)*(7*r - 1)/11
Suppose l + 3*l + 328 = 0. Let o = 126 + l. Factor -15 - 12*q**2 - 37*q**4 + 22*q**4 + 19*q**4 - 9 - 12*q**3 + o*q.
4*(q - 3)*(q - 1)**2*(q + 2)
Let l(o) be the second derivative of 193/14*o**4 - 25/98*o**7 - 36*o + 36/7*o**2 + 1053/140*o**5 + 0 + 8/7*o**6 + 82/7*o**3. Let l(b) = 0. What is b?
-1, -2/5, 6
Solve -152*y**2 - 25*y**3 + 5*y**4 - 13*y**2 + 40 - 40 - 135*y = 0 for y.
-3, -1, 0, 9
Let 172*i**2 + 7*i + 189*i - 60*i**4 + 4*i**5 + 128 - 76*i**3 + 116*i = 0. What is i?
-1, 2, 16
Let g(o) be the second derivative of o**5/35 + 20*o**4/21 - 46*o**3/7 - 40*o - 1. Factor g(s).
4*s*(s - 3)*(s + 23)/7
Suppose -5*i - b = -3*b - 12, 5*b = -5. Let t be 9/i*(-7)/336*-8. Suppose 0*n - 3/4*n**4 + t*n**2 + 0 - 3/4*n**5 + 3/4*n**3 = 0. Calculate n.
-1, 0, 1
Suppose -c = -2*c + 4. Let p be ((-6)/(-9))/((-1)/6 + 5/10). Find w such that 12*w**p + 20*w**3 - 34*w**4 - 9*w**5 + c*w**5 - 10*w**4 + 17*w**5 = 0.
-1/3, 0, 1, 3
Let g = 6335/2 - 3166. Let s(l) be the first derivative of -15/4*l + 1/4*l**3 + g*l**2 - 20. Find z, given that s(z) = 0.
-5, 1
Let o(b) = b + 11. Let g be o(10). Let d = g - 9. Suppose d - 3 + f + 5*f - 3*f**2 = 0. Calculate f.
-1, 3
Let d = 496 - 493. Solve -48*w**d - 45*w**2 + 0*w**2 - 33*w**4 + 22*w**4 + 8*w**4 = 0 for w.
-15, -1, 0
Let k = 179 + -177. Find d such that -1 - 3 - 11 - 15*d - 3 - 3*d**k = 0.
-3, -2
Let n(v) be the third derivative of -v**6/72 - 23*v**5/24 + 167*v**3/6 + 10*v**2 + 2*v. Let r(m) be the first derivative of n(m). Let r(y) = 0. What is y?
-23, 0
Let c be ((-7)/9)/(1/(13881/(-4046))). Let i = -1/578 + c. What is t in -i*t - 8/9*t**3 - 10/3*t**2 + 8/9 = 0?
-2, 1/4
Let h(f) = -7*f**3 - 69*f**2 + 78*f + 148. Let c(n) = -12*n**3 - 1