, -1, 0
Let n be (-3826)/(-30) - (6 + (-203)/35). Let a = n - 126. Determine x, given that -5/3*x**4 + a*x**2 + 1/3 - 3/2*x + 3/2*x**3 = 0.
-1, 2/5, 1/2, 1
Let f(p) be the second derivative of 18*p**2 + 1/5*p**5 + 0 - 8*p + 7/3*p**4 + 10*p**3. Let f(w) = 0. What is w?
-3, -1
Let b(j) = -4*j**2 + j + 43. Let q be b(8). Let o be 3/(-10)*q/369. Let 1/3*v - 1/6 - o*v**2 = 0. What is v?
1
Let q = -845 + 850. Let l(w) be the second derivative of 1/11*w**3 + 0 + 2/11*w**2 + q*w + 1/66*w**4. Let l(c) = 0. What is c?
-2, -1
Suppose -2*j - 738 = 976. Let c = j - -4299/5. Suppose 4/3*v**5 + 2/5*v**2 + c*v**4 + 0*v + 28/15*v**3 + 0 = 0. What is v?
-1, -3/5, -1/2, 0
Let l(n) = 4*n**2 + 2*n - 20. Let g(k) = 3*k**2 + 3*k - 18. Let s(b) = -3*g(b) + 2*l(b). Suppose s(a) = 0. What is a?
-7, 2
Let x be 17/11 - ((-5)/35)/((-8)/56). Factor -18/11*o - 30/11*o**2 - 2*o**3 - 4/11 - x*o**4.
-2*(o + 1)**3*(3*o + 2)/11
Factor 11382*w - 8788 - 4888*w**2 - 148*w**4 - 4*w**5 - 1720*w**3 + 0*w**5 + 4166*w.
-4*(w - 1)**2*(w + 13)**3
Let l be (33/(-99))/((-2)/(-222)). Let b = -35 - l. Let 8/7*s - 4/7 + 12/7*s**b = 0. What is s?
-1, 1/3
Let x = 289 - 289. Let y(n) be the third derivative of -1/70*n**5 + 0*n - 1/490*n**7 + 0*n**4 + 1/42*n**3 + x - 1/105*n**6 - 3*n**2. Factor y(c).
-(c + 1)**3*(3*c - 1)/7
Let j = 192 - 958/5. Suppose -4*k - 4*z + 16 = -0*k, -2*k + 2*z = 0. Factor j*s**3 - 4/5*s**k + 2/5*s + 0.
2*s*(s - 1)**2/5
Let -235224*c + 492426*c**2 - 1/2*c**5 - 970299/4 + 595/4*c**4 - 29551/2*c**3 = 0. What is c?
-1/2, 1, 99
Let a(m) be the first derivative of -3*m**4/4 - 70*m**3 - 216. Solve a(o) = 0.
-70, 0
Let h(a) be the third derivative of -a**7/504 - 5*a**6/144 - a**5/6 - a**4/12 + 37*a**2. Let n(f) be the second derivative of h(f). Factor n(p).
-5*(p + 1)*(p + 4)
Let x(m) be the first derivative of 0*m - 7/12*m**2 - 16 + 1/18*m**3. Determine v, given that x(v) = 0.
0, 7
Let m be (-91)/14 + (-3)/(-2). Let p be 8/(-10)*m/2. Solve -33*h + 29*h + 6*h**2 - 8 - p*h**2 + 0 = 0 for h.
-1, 2
Let g(v) be the first derivative of v**5/3 - v**4/4 - 7*v**3/9 + v**2/2 + 2*v/3 - 117. Factor g(m).
(m - 1)**2*(m + 1)*(5*m + 2)/3
Let 21/5*w**5 - 3*w**3 - 27/5*w**4 + 0 + 27/5*w**2 - 6/5*w = 0. What is w?
-1, 0, 2/7, 1
Let z = 4020 - 4017. Factor -1/5*t + 1/5*t**z + 0*t**2 + 0.
t*(t - 1)*(t + 1)/5
Let k(v) = -v**4 - v**2 - 1. Let b(h) = 8*h**3 + 6*h**2 - 2. Suppose -5*c - 4 = -9*c. Let a(z) = c*b(z) - 2*k(z). Factor a(y).
2*y**2*(y + 2)**2
Suppose 2*j + 3 = 11. Suppose -2*w + 3*w**3 - j*w**5 - 16*w**4 + 11*w**4 + 3*w + 5*w**2 = 0. Calculate w.
-1, -1/4, 0, 1
Let v be (-1)/2*0/(-14). Suppose -j - 1 - 3 = 0, o - 5*j - 22 = v. Factor 2*a**3 + o*a**5 - 3*a**5 + 0*a**3 - a.
-a*(a - 1)**2*(a + 1)**2
Let x(z) = 9*z**3 + 29*z**2 + 39*z + 11. Suppose -2*o + 6*o = -16. Let f(q) = -19*q**3 - 59*q**2 - 79*q - 21. Let r(p) = o*f(p) - 9*x(p). Factor r(j).
-5*(j + 1)**2*(j + 3)
Factor -14/9 - 26/9*b - 4/3*b**2.
-2*(b + 1)*(6*b + 7)/9
Let n be (-2)/(-4)*4 - 1. Let i be (n + 17/(-15))/(1/(-3)). Suppose i*a**2 - 2/5*a + 0 = 0. What is a?
0, 1
Let u(l) be the first derivative of 55*l**3/3 - 45*l**2/2 - 10*l + 829. Factor u(b).
5*(b - 1)*(11*b + 2)
Let k(d) = 2*d**2 - 8*d + 2. Let r = 37 + -43. Let m(q) = -3*q**2 + 16*q - 3. Let o(v) = r*m(v) - 11*k(v). Factor o(x).
-4*(x + 1)**2
Let o be (2/(-3) - (-64)/60) + 94/(-235). Determine d so that 2/9*d**4 + 2/9*d**3 + 0*d + o + 0*d**2 = 0.
-1, 0
Let v = 847 - 843. Determine w so that 2/3*w**v - 2/9*w**5 + 0 + 0*w - 8/9*w**2 + 0*w**3 = 0.
-1, 0, 2
Suppose -604*s + 600*s + 32 = 0. Let f(j) be the first derivative of -4/9*j + 1/3*j**2 - s - 2/27*j**3. Determine q so that f(q) = 0.
1, 2
Suppose 0 = 12*l - 639 + 591. Factor -l*h + 8/3 + 4/3*h**2.
4*(h - 2)*(h - 1)/3
Let b(g) be the third derivative of g**7/210 - g**6/24 + g**5/30 + g**4/3 + 131*g**2 + 1. Factor b(s).
s*(s - 4)*(s - 2)*(s + 1)
Let f(v) be the first derivative of 0*v + 1/9*v**6 + 0*v**2 - 2/3*v**4 - 42 + 2/15*v**5 - 8/9*v**3. What is w in f(w) = 0?
-2, -1, 0, 2
Factor 1/9*z**3 + 0*z**2 - 1/9*z + 0.
z*(z - 1)*(z + 1)/9
Suppose 1 - 22 = -7*q. Let r be 6/2 + -2 + 2. Find t, given that 6*t**2 + 7*t**2 - 4*t + q*t**2 - 21*t**r + 9*t**4 + 0*t**3 = 0.
0, 2/3, 1
Let p be (-105)/6*13/195 - 6/(-4). Factor 0 + 0*y + 1/2*y**5 - 1/6*y**3 + 0*y**2 + p*y**4.
y**3*(y + 1)*(3*y - 1)/6
Suppose 3*h - 588 = -0*h. Factor -h*q**2 + 1 + 0 + 195*q**2.
-(q - 1)*(q + 1)
Solve 8/3 - 2/3*w**4 + 4/3*w**3 + 2*w**2 - 16/3*w = 0.
-2, 1, 2
Let t(f) = f**3 - 140*f**2 + 6340*f - 97338. Let j(g) = -g**2 - 4*g - 1. Let w(d) = 2*j(d) - t(d). Factor w(x).
-(x - 46)**3
Let h(n) be the third derivative of n**6/840 + n**5/140 - 5*n**3/2 - 9*n**2. Let c(j) be the first derivative of h(j). Let c(d) = 0. What is d?
-2, 0
Let m(c) be the first derivative of -c**5/25 + c**4/5 - c**3/5 - 30. Determine t so that m(t) = 0.
0, 1, 3
Let i = 1919/8 - 1899/8. Factor 0 + i*z**2 - z - 3/2*z**3 + 1/2*z**5 - 1/2*z**4.
z*(z - 1)**3*(z + 2)/2
Let q = -1977 - -1977. What is n in q + 4/5*n**2 - 4/5*n - 1/5*n**3 = 0?
0, 2
Let q = -19098 - -19100. Let k = -1/58 + 89/116. Factor -2*r**q - k*r**3 - 3/4*r + 1/2.
-(r + 1)*(r + 2)*(3*r - 1)/4
Let i(h) be the third derivative of -h**6/1020 + h**5/34 + h**4/6 + 80*h**2. Factor i(n).
-2*n*(n - 17)*(n + 2)/17
Let u(y) be the first derivative of -5*y**4 - 76*y**3/3 + 58*y**2 - 20*y - 8. Factor u(p).
-4*(p - 1)*(p + 5)*(5*p - 1)
Let z be (-97 - -112) + 30/(-42). Suppose 40/7*t + 4/7*t**2 + z = 0. What is t?
-5
Let a be (15 - 1) + 432/(-36). Suppose -1/2*z**a - 1/2 + z = 0. What is z?
1
Let t(l) be the third derivative of -l**7/70 - 3*l**6/8 - 49*l**5/20 - 57*l**4/8 - 11*l**3 - 428*l**2. Factor t(d).
-3*(d + 1)**2*(d + 2)*(d + 11)
Let u(f) be the second derivative of 0*f**5 - 4/3*f**2 + 1/90*f**6 + 0 - f**3 - 11/36*f**4 + 4*f. Let u(n) = 0. What is n?
-2, -1, 4
Let k be (-10 - -14)*3/4. Let r(w) be the first derivative of 1/2*w - 1/3*w**3 + 0*w**4 + 1/10*w**5 - k + 0*w**2. Factor r(j).
(j - 1)**2*(j + 1)**2/2
Let w(a) = 5*a**3 - 4*a**2 + 3*a. Let v be w(3). Suppose v*i - 111*i = -6. Factor 6 + 243/2*t**i + 54*t.
3*(9*t + 2)**2/2
Let b(k) be the third derivative of 0 - 35/4*k**4 + 0*k - 8*k**2 - 15/2*k**3 - 25/12*k**5 - 1/6*k**6. Suppose b(a) = 0. What is a?
-3, -1/4
Find h such that 153 + 8*h**3 - 5*h**5 + 10*h**2 - 148 - 15*h**4 + 15*h - 18*h**3 = 0.
-1, 1
Let r = -1849/2 + 925. Let p be ((-1)/((-2)/3))/6. Factor -1/4*t**2 - p + r*t.
-(t - 1)**2/4
Let j be 0*((-15)/12)/1*(-176)/440. Solve -2/5*o**3 + 0 + j*o - 8/5*o**2 = 0.
-4, 0
Let z(l) be the third derivative of 1/30*l**6 - 1/6*l**4 + 0*l - 1/15*l**5 + 0 + 2/3*l**3 - 18*l**2. What is d in z(d) = 0?
-1, 1
Let h(o) be the second derivative of -5*o**4/12 - 5*o**3/6 + 225*o**2 + 4*o + 13. Factor h(w).
-5*(w - 9)*(w + 10)
Solve -10/9*d**3 + 10/9*d + 2/9*d**4 - 4/3 + 10/9*d**2 = 0 for d.
-1, 1, 2, 3
Suppose 69*a**2 + 115*a + 3 - 73 - 84*a**2 = 0. Calculate a.
2/3, 7
Suppose 2*w + 457*u = 461*u + 32, -14 = -5*w - u. Suppose -3/4*z + 15/8*z**w + 0 - 3/8*z**5 - 27/8*z**3 + 21/8*z**2 = 0. Calculate z.
0, 1, 2
Suppose -c + 5*f = -30, -c - f = 4*f + 20. Suppose 0 = -c*b + 11*b. Factor -2/19*d**2 + 0*d - 6/19*d**3 - 2/19*d**5 + b - 6/19*d**4.
-2*d**2*(d + 1)**3/19
Suppose -1 = g - 1. Let t(x) be the third derivative of 0*x**3 + g - 1/12*x**4 + 4*x**2 + 1/60*x**5 + 0*x. Factor t(v).
v*(v - 2)
Let d(k) be the third derivative of -k**7/630 + k**6/15 + 5*k**5/36 + k**2 - 140*k. Factor d(s).
-s**2*(s - 25)*(s + 1)/3
Solve -6/7*t**2 + 2/7*t + 6/7 - 2/7*t**3 = 0 for t.
-3, -1, 1
Factor 1/3*y - 5/3 - 1/3*y**3 + 5/3*y**2.
-(y - 5)*(y - 1)*(y + 1)/3
Let y(j) be the first derivative of j**6/6 + 3*j**5/5 + 3*j**4/4 + j**3/3 - 7*j**2/2 - 16. Let a(q) = -q. Let f(c) = -28*a(c) + 4*y(c). Factor f(i).
4*i**2*(i + 1)**3
Let r = -32243/14 - -16132/7. Let 3/8*f**5 + 0 + 27/8*f**3 + 9/4*f**4 + 0*f + r*f**2 = 0. Calculate f.
-4, -1, 0
Let h(x) be the second derivative of -9*x - 1/10*x**6 + 1/4*x**4 + 0*x**5 + 0*x**2 + 0*x**3 + 0. Factor h(l).
-3*l**2*(l - 1)*(l + 1)
Let f = 14/433 - -22474/1299. Factor 2/3*t**2 + 338/3 - f*t.
2*(t - 13)**2/3
Let k(u) be the first derivative of 2*u**5/5 + u**4 - 2*u**3/3 - 2*u**2 + 107. Factor k(h).
2*h*(h - 1)*(h + 1)*(h + 2)
Let x = -132 + 135. What is o in -3*o**3 -