Factor 177*b + 3/2*b**2 + 10443/2.
3*(b + 59)**2/2
Let p be 18/(-72) - ((-1373)/84 + 2). Let c = p + -41/3. Factor -c*i**3 + 9/7*i**2 - 9/7*i + 3/7.
-3*(i - 1)**3/7
Let d(h) be the second derivative of -23*h + 1/90*h**6 + 0 + 1/60*h**5 - 1/12*h**4 - 5/18*h**3 - 1/3*h**2. Factor d(n).
(n - 2)*(n + 1)**3/3
Let j(f) be the second derivative of 65*f**4/12 - 1225*f**3/6 - 95*f**2 - 11*f + 6. Solve j(u) = 0 for u.
-2/13, 19
Let t be 2/22 - ((-1869)/132 + 14). Factor -t*g - 1/4*g**2 + 1/4*g**3 + 1/4.
(g - 1)**2*(g + 1)/4
Let r = -1600 - -1600. Factor r + 2/3*h + 2*h**3 - 8/3*h**2.
2*h*(h - 1)*(3*h - 1)/3
Let k(w) be the third derivative of 0 + 1/24*w**3 + 1/240*w**6 - 1/48*w**4 + 0*w**5 - 1/840*w**7 + 0*w - 34*w**2. Suppose k(r) = 0. Calculate r.
-1, 1
Let a(z) be the third derivative of 0*z**4 + 1/35*z**5 + 0*z + 0*z**3 - 1/70*z**6 + 1/490*z**7 + 0 + 14*z**2. Factor a(g).
3*g**2*(g - 2)**2/7
Suppose w - 12 = -4*q + 3*w, 4*q + 6 = -w. Factor 2/3*d**4 - 2/3*d**2 + q*d**3 + 0*d + 0.
2*d**2*(d - 1)*(d + 1)/3
Let t(o) be the third derivative of o**5/90 + 53*o**4/6 + 2809*o**3 - 29*o**2 - 2. What is w in t(w) = 0?
-159
Let k(f) be the second derivative of -1/6*f**4 - 6*f**2 - 28*f + 0 - 5/3*f**3. Let k(m) = 0. What is m?
-3, -2
Let t(g) be the third derivative of g**8/36960 - g**7/3465 + g**6/792 - g**5/330 - 7*g**4/24 - 6*g**2. Let l(i) be the second derivative of t(i). Factor l(p).
2*(p - 2)*(p - 1)**2/11
Let c = 72 + -69. Determine q so that 2*q - 27*q**2 - 9*q**4 + 0*q**4 - q - 7*q - 30*q**c = 0.
-2, -1, -1/3, 0
Factor -2*p**3 - 36 - 499*p**2 + 235*p**2 + 50*p + 252*p**2.
-2*(p - 2)*(p - 1)*(p + 9)
Let b(w) be the first derivative of -4*w**5/5 + 4*w**4 + 24*w**3 + 40*w**2 + 28*w + 454. Factor b(p).
-4*(p - 7)*(p + 1)**3
Let m(c) be the first derivative of -35*c**3/3 - 25*c**2 - 15*c - 188. What is y in m(y) = 0?
-1, -3/7
Factor 110/13 - 2/13*m - 110/13*m**2 + 2/13*m**3.
2*(m - 55)*(m - 1)*(m + 1)/13
Let u = 159 + -171. Let r be 9/21*u/(-18). Solve -r*h**4 + h**3 - 1/7*h + 2/7 - 6/7*h**2 = 0 for h.
-1/2, 1, 2
Let v(o) be the second derivative of -o**6/900 + o**5/75 - o**4/20 - 28*o**3/3 - 3*o + 4. Let q(p) be the second derivative of v(p). Solve q(f) = 0.
1, 3
Suppose 5*r = -4*b - 19 + 56, -2*r = -10. Factor -11*g**2 + 3*g**2 + 2*g**3 - 2*g**b + 2*g**3.
2*g**2*(g - 4)
Let q(o) be the second derivative of 13*o**6/300 - 67*o**5/200 - 53*o**4/40 - 13*o**3/12 + 7*o**2/10 + 2*o + 9. Find m, given that q(m) = 0.
-1, 2/13, 7
Let i(x) be the first derivative of 1/10*x**4 - 2/5*x**3 + 12 + 3/5*x**2 - 2/5*x. Factor i(b).
2*(b - 1)**3/5
Let x(a) be the third derivative of a**8/5040 + a**5/10 - 15*a**2. Let w(j) be the third derivative of x(j). Find y, given that w(y) = 0.
0
Suppose 4*k - 1 = -5*v, -3*k + 5*v + 1 + 26 = 0. Let a(w) = 10*w**2 - 80*w + 95. Let j(o) = -o**3 - 9*o**2 + 80*o - 96. Let b(u) = k*a(u) + 5*j(u). Factor b(y).
-5*(y - 2)**2*(y + 5)
Let i = 34 - 30. Let k(s) be the second derivative of -1/24*s**3 + 0 - 1/12*s**i - 3/40*s**5 - 1/30*s**6 - 1/168*s**7 + 3*s + 0*s**2. Factor k(u).
-u*(u + 1)**4/4
Let k(s) = 4*s**3 + 2*s**2 + 26*s - 28. Let x be k(1). Factor 2/3*j**x + 0*j**2 - 1/3*j**5 + j**3 + 0 + 0*j.
-j**3*(j - 3)*(j + 1)/3
Let y(v) be the first derivative of 5*v**3/3 - 575*v**2/2 + 547. Determine m, given that y(m) = 0.
0, 115
Let b be 9/2*4/3. Let k(f) = -f**2 + 14*f - 11. Let c be k(13). Factor 0*n**2 - c*n**2 - 2*n**4 - 2*n**4 + b*n**4.
2*n**2*(n - 1)*(n + 1)
Let v be 30/12 - (-1 - (2 - -1)). Factor 1/2 + 2*u**4 + 6*u**3 + 3*u + v*u**2.
(u + 1)**2*(2*u + 1)**2/2
Let r be 64 - 63 - (155/(-20) - -2). Factor 0*t + r - 3/4*t**2.
-3*(t - 3)*(t + 3)/4
Suppose -3*n - d + 7 = -n, -3*d - 1 = -5*n. Let z(s) be the second derivative of -3*s + 5/16*s**4 - 9/8*s**n + 0 - 1/4*s**3. Factor z(m).
3*(m - 1)*(5*m + 3)/4
Find k such that 44 + 3*k**2 + 21*k**3 - 44 = 0.
-1/7, 0
Suppose -2*d + 3996 = 3*c + 3999, -c - 5*d - 40 = 0. Factor c*l**2 + 0 + 7/5*l**3 + 12/5*l.
l*(l + 3)*(7*l + 4)/5
Suppose -2*h - 8 = -5*h + q, 0 = -2*h + 4*q + 2. Determine k so that 3 - 3 + 5*k + k**4 - k**2 + k**5 - h*k**3 - 3*k = 0.
-2, -1, 0, 1
Let t(y) be the first derivative of 0*y**2 + 1/210*y**7 + 0*y - 2 + 0*y**5 + 3*y**3 - 1/30*y**6 + 0*y**4. Let h(f) be the third derivative of t(f). Factor h(c).
4*c**2*(c - 3)
Let u(t) be the first derivative of -2/21*t**3 - 4/7*t**2 + 8/7*t + 1/14*t**4 + 49. Factor u(m).
2*(m - 2)*(m - 1)*(m + 2)/7
Let n be (((-60)/16)/5)/(9/(-1)). Let q(j) be the second derivative of 0 + 0*j**2 + 2*j - 1/80*j**5 + 1/16*j**4 - n*j**3. Factor q(x).
-x*(x - 2)*(x - 1)/4
Let m = 30 - 18. Let j be ((-2)/m)/(10/(-45)). Factor 3/4*g**2 - 3/2*g + j.
3*(g - 1)**2/4
Let f(y) be the third derivative of 7*y**6/480 + y**5/240 - 7*y**4/96 - y**3/24 + 18*y**2. Suppose f(x) = 0. What is x?
-1, -1/7, 1
Let n be 0 + 19/(-3) + (-450)/(-675) + 7. What is t in -8/9 + 40/9*t**3 + 2/9*t**4 - 16/9*t - n*t**5 + 2*t**2 = 0?
-1, -1/2, 2/3, 2
Suppose 0*h + 4*h = 5*y + 26, 2*y + 5 = h. Suppose 0 = 3*z - 0*z - h. Determine m, given that m**5 + m**2 + 0*m**3 + 3*m**z - 80*m**4 + 83*m**4 = 0.
-1, 0
Let r = -70 - -73. Suppose 126 - 134 + 5*b**r - b**3 - 12*b = 0. Calculate b.
-1, 2
Let n(w) = 2*w**2 - 3*w + 2. Let x be n(2). Let l be ((-18)/(-24))/(1/x). Find v, given that 2*v**3 - 3*v + v**3 + 3*v**3 - l*v**5 = 0.
-1, 0, 1
What is j in j + 98*j**3 - 213*j**3 + 114*j**3 = 0?
-1, 0, 1
Let r(s) be the third derivative of 13*s**2 + 5/3*s**4 + 10/3*s**3 + 1/24*s**6 + 0 + 5/12*s**5 + 0*s. Determine w, given that r(w) = 0.
-2, -1
Let j(a) be the second derivative of -a**6/80 + a**5/20 - a**4/16 + 5*a**2/2 + 7*a. Let o(q) be the first derivative of j(q). Let o(m) = 0. Calculate m.
0, 1
Let q(s) = s**5 - 35*s**4 - 18*s**3 + 169*s**2 + 12*s - 144. Let z(n) = -18*n**4 - 9*n**3 + 84*n**2 + 6*n - 72. Let k(f) = -3*q(f) + 5*z(f). Solve k(o) = 0.
-2, -1, 1, 3, 4
Let q(i) = 2*i**2 - 3. Let w(h) = -72*h**2 + 460*h - 1025. Let c(o) = 22*q(o) + 2*w(o). Factor c(j).
-4*(5*j - 23)**2
Let h be 0 - 5*(-3)/9. Let t = -482 + 485. Factor 1/3*w**5 + h*w**2 - 1/3*w**4 - w**t + 0 - 2/3*w.
w*(w - 1)**3*(w + 2)/3
Let s = -13 + 16. Suppose 0 = 2*f - 5*l + 8, 2*f + 3*l - 24 = -0*l. Factor -16 - w**3 - 14*w + f*w + 7*w**3 + 4*w**2 - 4*w**s.
2*(w - 2)*(w + 2)**2
Let g = 82786/4071 + -3/1357. Factor -14/3*c**4 - 12*c + 0 - 1/3*c**5 - 28*c**2 - g*c**3.
-c*(c + 1)**2*(c + 6)**2/3
Factor -3 + 3*u**2 + 15 - 19*u + 7*u.
3*(u - 2)**2
Let h(o) be the second derivative of 5*o**7/378 - 43*o**6/270 + 107*o**5/180 - 85*o**4/108 - 2*o**3/27 + 10*o**2/9 + 63*o. Find f such that h(f) = 0.
-2/5, 1, 2, 5
Let g(x) = 4*x + 1. Let u(s) = 16*s + 4. Let k(o) = -9*g(o) + 2*u(o). Let f be k(-3). Factor -f*r - 32 - 5*r - 4*r**2 + 2*r**2.
-2*(r + 4)**2
Let f = -193 + 204. Suppose -4*x - a + 13 = 0, -3*x + 5 = 2*a - f. Suppose -4/7 - x*i + 8/7*i**2 = 0. Calculate i.
-1/4, 2
Let 10*p + 35*p**3 - 40/3*p**4 - 5/6 - 185/6*p**2 = 0. What is p?
1/8, 1/2, 1
Let p(j) be the first derivative of j**4/4 + 8*j**3/3 + 4*j**2 + 10*j + 5. Let t be p(-7). Solve -5*z**4 + 1 - 2*z**3 + 4*z**4 + 0*z**t - z + 3*z = 0 for z.
-1, 1
Suppose -2/3*z**2 + 0 + 1/6*z**3 + 2/3*z = 0. What is z?
0, 2
Let j(u) be the third derivative of -1/360*u**5 + 0*u + 1/6*u**3 - 7*u**2 + 0 + 1/144*u**4. Factor j(c).
-(c - 3)*(c + 2)/6
Let c(h) = h**5 - h**2 + h. Let v(f) = -4*f**4 - 18*f + 0*f**3 - 6*f**5 + 30*f**2 + 0*f**2 - 12*f**3. Let m(i) = -10*c(i) - v(i). Factor m(j).
-4*j*(j - 1)**3*(j + 2)
Let g = 54 - 54. Let p(r) be the third derivative of g*r + r**2 - 1/40*r**6 + 0*r**4 + 0*r**5 - 1/112*r**8 + 0*r**3 + 1/35*r**7 + 0. Let p(m) = 0. What is m?
0, 1
Let b(q) be the second derivative of q**6/60 + q**5/6 + q**4/4 - 3*q**3 - 17*q**2 + 25*q. Let m(l) be the first derivative of b(l). Factor m(h).
2*(h - 1)*(h + 3)**2
Let x be (9/(-3) - -2) + 5. Suppose -9*i**x - 8*i - 3*i**4 - i**4 - 3*i**4 + 36*i**2 - 12*i**3 = 0. What is i?
-2, 0, 1/4, 1
Let p = -31 + 27. Let r(q) = 2*q**3 + 27*q**2 + 34*q + 5. Let v(g) be the first derivative of -g**4/4 + g**2/2 - g - 2. Let m(i) = p*v(i) + r(i). Factor m(h).
3*(h + 1)*(h + 3)*(2*h + 1)
Let l(x) = 60*x - 185. Let f(z) = z**2 + 60*z - 186. Suppose -4*g + 6 = -3*g. Let v(r) = g*l(r) - 5*f(r). Factor v(q).
-5*(q - 6)**2
Let x(n) be the second deriv