 - 11/6*m + 1/2*m**3.
(m - 2)*(m + 1)**2*(m + 3)/6
Let i(r) = -r. Let l be i(-4). Suppose 2*f**3 + 11*f**3 + 2*f - f**4 - f**l + 2*f**2 - 15*f**3 = 0. What is f?
-1, 0, 1
Let t(l) be the first derivative of -l**4/7 + 68*l**3/21 - 32*l**2/7 - 83. Factor t(c).
-4*c*(c - 16)*(c - 1)/7
Suppose -3*q - 2*r = -9, -4*r + 33 - 18 = 5*q. Let d(t) be the first derivative of -9 + 1/4*t**2 + 1/6*t**q - t. Determine j, given that d(j) = 0.
-2, 1
Suppose 3*r + 3*a = -12, -4*r + 5*a = -23 + 3. Let q(y) be the second derivative of 0*y**4 + 1/3*y**3 - 1/2*y**2 + 1/30*y**6 - 1/10*y**5 + r - 4*y. Factor q(d).
(d - 1)**3*(d + 1)
Let r be (24/28 - 2) + 1/7. Let w be (-1)/2 + 3 - r. Factor 3/2*b**3 - w*b - 1 - b**2.
(b - 2)*(b + 1)*(3*b + 1)/2
Let v(n) be the first derivative of -5/3*n**3 + 12 + 25/2*n**2 - 30*n. Factor v(k).
-5*(k - 3)*(k - 2)
Let i(y) be the first derivative of -15*y**3 + 15/4*y**4 - 30*y**2 - 12*y + 12/5*y**5 - 43. Solve i(s) = 0 for s.
-2, -1, -1/4, 2
Suppose -5/2*w + 3 + 1/2*w**2 = 0. What is w?
2, 3
Let t(p) be the first derivative of 5*p**4/4 + 65*p**3/3 + 255*p**2/2 + 315*p - 851. Find b such that t(b) = 0.
-7, -3
Let n(y) be the first derivative of -1/2*y**2 - 1/3*y**3 - y - 4. Let g(r) = -r**2 - r - 10. Let d(c) = -g(c) + 4*n(c). Factor d(p).
-3*(p - 1)*(p + 2)
Let b(h) be the first derivative of h**5/160 - h**4/32 + h**3/16 - 8*h**2 + 2*h + 32. Let a(p) be the second derivative of b(p). Factor a(m).
3*(m - 1)**2/8
Solve -1/7*o**3 + 993/7*o**2 - 328683/7*o + 36264691/7 = 0 for o.
331
Let n(y) = -y**2 + 8*y - 7. Let a be n(1). Let b(c) be the third derivative of 2*c**2 + 0 + a*c**4 + 1/30*c**5 + 0*c**3 + 0*c. Determine v so that b(v) = 0.
0
Determine x so that -50*x + 228 - 248 - 5*x**3 - 57*x**2 - 22*x = 0.
-10, -1, -2/5
Let x be ((-228)/133)/2*(1 - 22/6). Solve 2/7*h**3 + 26/7*h - x*h**2 - 12/7 = 0.
1, 6
Let v(j) = -j**3 - 4*j**2 - 2*j + 9. Let q be v(-5). Let n be 5/(5/(-3)) + 156/q. Find y, given that -4/11 - n*y + 2/11*y**3 + 0*y**2 = 0.
-1, 2
Let j be 3/(-6)*2*-42. Suppose -j = 5*t - 142. Factor -11*o**5 + 0*o**2 + 0*o**2 + t*o**4 + 36*o**5 + 4*o**3.
o**3*(5*o + 2)**2
Let t be ((-160)/204)/((-48)/144). Suppose -2/17*v**2 - t*v - 200/17 = 0. What is v?
-10
Let g(d) = d**3 - 16*d**2 - 33*d - 52. Let q be g(18). What is z in -4/11*z + 0*z**q + 2/11*z**4 + 4/11*z**3 - 2/11 = 0?
-1, 1
Let f(v) be the third derivative of 1/420*v**6 - 1/210*v**5 + 0*v - 1/84*v**4 + 0 + 1/21*v**3 + 4*v**2. Solve f(a) = 0.
-1, 1
Let y(x) be the first derivative of 1323*x**4/8 + 427*x**3 - 125*x**2/3 + 4*x/3 - 105. Factor y(i).
(i + 2)*(63*i - 2)**2/6
Suppose -2*m + 2*u = -3*m + 13, m + 5*u - 28 = 0. Determine h, given that 2*h**2 - 5*h + m*h**2 + 95*h + 340 + 65 = 0.
-9
Suppose j - 171 = -2*k + 5, -446 = -5*k - j. Solve 10*s - 98 + 42*s - 80*s**2 + k + 36*s**3 = 0.
2/9, 1
Let f = -11 + 41. Determine j, given that 5*j**5 - 75*j - 83 + 80*j**2 - 30*j**4 + 31 + f*j**3 - 38 = 0.
-1, 2, 3
Suppose 5*p + 0*i - 16 = -2*i, 3*i + 26 = 5*p. Let n(f) be the second derivative of -6/5*f**2 - 3*f - 13/20*f**p + 8/5*f**3 + 9/100*f**5 + 0. Factor n(g).
3*(g - 2)**2*(3*g - 1)/5
Let w = -2 - -13. Suppose w*a + 4 = 12*a. Factor -2*c - 11/2*c**3 + 7*c**2 + 5/4*c**a + 0.
c*(c - 2)**2*(5*c - 2)/4
Let n(q) be the second derivative of 0*q**2 + 0 - 3/2*q**4 - 1/2*q**3 + 10*q. Factor n(c).
-3*c*(6*c + 1)
Factor 68*z**4 + 18 - 25*z**2 + 102*z**3 + 26 - 77*z**4 - 92*z.
-(z - 11)*(z + 1)*(3*z - 2)**2
Let m(o) be the second derivative of -o**6/360 - o**5/45 + o**4/24 + o**3 - 3*o**2 + 11*o. Let r(k) be the first derivative of m(k). Factor r(g).
-(g - 2)*(g + 3)**2/3
Let p(l) be the first derivative of l**4/28 + l**3/7 + 3*l**2/14 + l/7 + 211. Factor p(u).
(u + 1)**3/7
Let j(t) be the second derivative of t**5/160 + t**4/12 + 5*t**3/16 - 2*t + 43. Find b such that j(b) = 0.
-5, -3, 0
Let t(d) be the second derivative of d**4/15 - 4*d**3/3 + 18*d**2/5 + 88*d. Factor t(m).
4*(m - 9)*(m - 1)/5
Suppose 0 = -r + 140 - 126. Let o(f) = -13*f + 182. Let u be o(r). Factor 1/2*a**2 + 0 - 3/2*a**4 + a**3 + u*a.
-a**2*(a - 1)*(3*a + 1)/2
Let g(t) be the third derivative of 0*t + 0 + 4/75*t**5 + 17/30*t**4 + 8/15*t**3 + 3*t**2. Factor g(r).
4*(r + 4)*(4*r + 1)/5
Let p(v) be the first derivative of -v**7/98 + v**6/35 + 11*v + 21. Let r(a) be the first derivative of p(a). Let r(j) = 0. Calculate j.
0, 2
Let u = -50 + 95. Factor 10*v**5 + 0*v**5 + u*v**3 + 51*v**4 - 4*v + 9*v + 25*v**2 - 16*v**4.
5*v*(v + 1)**3*(2*v + 1)
Find i, given that 0 - 5/3*i**3 - 25/3*i + 10*i**2 = 0.
0, 1, 5
Let b(y) be the second derivative of -5 - 5/36*y**4 + 0*y**3 + 10/3*y**2 + 4*y. Factor b(r).
-5*(r - 2)*(r + 2)/3
Let u = -1787343/322 + 11103/2. Let o = u + -4/23. Factor -2/7 - o*w - 2/7*w**2.
-2*(w + 1)**2/7
Let h be 2681/(-294) - (2 - -3). Let c = h + 100/7. What is f in -2/3*f - 1/2 - c*f**2 = 0?
-3, -1
Let k(f) be the third derivative of 4/3*f**3 - 1/6*f**4 + 7/30*f**6 - 2/5*f**5 + 0 + 15*f**2 - 4/105*f**7 + 0*f. Solve k(r) = 0.
-1/2, 1, 2
Let t = -3/2572 - -2587/12860. Find i, given that t*i**2 - i + 0 = 0.
0, 5
Let w(l) be the third derivative of l**6/6 + 23*l**5/12 + 65*l**4/12 - 20*l**3/3 - 3*l**2 - l. Solve w(g) = 0.
-4, -2, 1/4
Let c(h) be the first derivative of -h**5/30 - h**4/18 + 2*h**3/9 + 23*h + 4. Let m(p) be the first derivative of c(p). Determine w, given that m(w) = 0.
-2, 0, 1
Let p be (0 + (-4)/(-5))/((-3)/(-15)). Let r(o) = -o**3 - 4*o**2 - 4*o - 1. Let w be r(-3). Let 0*b - b + 2*b**2 - p*b**w + b**2 = 0. What is b?
-1, 0
Let v(m) = -m**2 - 3*m - 1. Let s(h) = -12*h**2 + 12*h + 38. Let y(t) = -2*s(t) + 28*v(t). Determine z, given that y(z) = 0.
-26, -1
Let q be 369/24 - (8 + 6 - 8). Solve -q*t + 125/8 + 15/8*t**2 - 1/8*t**3 = 0.
5
Let x(g) be the third derivative of g**2 + 1/60*g**5 + 0 + 0*g**3 - 1/24*g**4 + 0*g. Factor x(j).
j*(j - 1)
Let v(i) be the second derivative of 0*i**3 + 9*i + i**2 + 0 - 1/6*i**4. Suppose v(z) = 0. What is z?
-1, 1
Suppose 0 = -3*z + 10 - 1. Factor 93 - 4*r + 32 + 79*r + r**z + 15*r**2.
(r + 5)**3
Let l(j) = -2*j + 9. Let i be l(6). Let s be (2/(-4))/(i/12). Factor -1 + 7/2*q**s + 5/2*q.
(q + 1)*(7*q - 2)/2
Factor 54 + y**3 - 35*y**2 + 18*y**2 + 45*y + 15*y**2 + 14*y**2.
(y + 3)**2*(y + 6)
Let q(i) = i**2 - 13*i - 30. Let n be q(15). Factor -7*m**3 + 0 + 3*m**4 - 3*m**5 + 13*m**3 + n.
-3*m**3*(m - 2)*(m + 1)
Suppose -8*i - 2*i - 39 + 2*i**2 - 4*i + 26 - 47 = 0. What is i?
-3, 10
Let t = -4212 - -4215. Find r, given that 0 - 1/3*r**2 + 0*r**t + 1/3*r**4 + 0*r = 0.
-1, 0, 1
Let o(t) be the first derivative of t**8/2352 - t**6/280 + t**5/210 + 18*t**2 - 28. Let y(g) be the second derivative of o(g). Factor y(u).
u**2*(u - 1)**2*(u + 2)/7
Let h(o) = -o**3 - 21*o**2 - 2*o - 21. Let i be h(-21). What is l in 2*l**4 + 14*l - 25 - i + 10*l**3 + 18*l**2 + 50 = 0?
-2, -1
Let f(y) = -y + 1. Let c(h) = h**2 + 10*h - 7. Let x = 38 + -17. Let m = -3 + 6. Let v(a) = m*c(a) + x*f(a). Factor v(o).
3*o*(o + 3)
Let g(b) be the second derivative of -b**4/6 + 23*b**3/3 - 27*b - 2. Determine t so that g(t) = 0.
0, 23
Factor 95*o - 118*o**3 - 96*o**3 + 215*o**3 + 77 + 19*o**2.
(o + 1)*(o + 7)*(o + 11)
Let g(t) = 21*t**5 - 56*t**3 + 61*t**2 + 13*t - 13. Let a(c) = -5*c**5 + 14*c**3 - 15*c**2 - 3*c + 3. Let n(p) = -26*a(p) - 6*g(p). Factor n(o).
4*o**2*(o - 2)*(o - 1)*(o + 3)
Let w(u) be the second derivative of -13*u + 0*u**2 + 3/10*u**5 - 1/4*u**4 - u**3 + 0 + 1/10*u**6. Find d such that w(d) = 0.
-2, -1, 0, 1
Let l = -22642/9 + 2516. Let c(r) be the first derivative of 0*r + l*r**6 - 1/9*r**3 - 1/3*r**4 - 2 + 1/15*r**5 + 0*r**2. Solve c(f) = 0.
-1, -1/4, 0, 1
Let y(t) be the third derivative of t**5/12 + 35*t**4/24 - 25*t**3 - t**2 - 12*t. Determine a so that y(a) = 0.
-10, 3
What is u in 2*u - 8/3 - 1/3*u**2 = 0?
2, 4
Let l(i) be the first derivative of i**4/22 + 40*i**3/11 + 1200*i**2/11 + 16000*i/11 + 490. Factor l(z).
2*(z + 20)**3/11
Let o = 113/156 + -4/13. Let q = o - -1/12. Factor -q*p**2 - 1/8 - 5/8*p.
-(p + 1)*(4*p + 1)/8
Let s(w) = -8*w + 6. Let d(a) = -2*a + 1. Let q(c) = -6*d(c) + 2*s(c). Let z be q(1). Find y such that -2*y + 4/3 + 2/3*y**z = 0.
1, 2
Let a(v) be the first derivative of 6/5*v - 4/5*v**2 + 2/15*v**3 + 4. Factor a(q).
2*(q - 3)*(q - 1)/5
Let w be 2 - (1/3 + 12/(-9