
Suppose 0 = 9*x - 118 + 10. Let w be (-4)/(-12)*x/28. Factor -w*s**3 + 0 - 1/7*s + 2/7*s**2.
-s*(s - 1)**2/7
Let z(t) be the third derivative of t**7/630 + 7*t**6/360 + t**5/12 + 13*t**4/72 + 2*t**3/9 - 37*t**2 + 1. Factor z(x).
(x + 1)**3*(x + 4)/3
Solve 0 - 2/13*z**4 + 22/13*z**3 + 2*z + 50/13*z**2 = 0 for z.
-1, 0, 13
Let o = 343/100 + 8/25. Suppose -15213*g + 15208*g = -10. Factor -3/2 + 3/4*s**3 + o*s - 3*s**g.
3*(s - 2)*(s - 1)**2/4
Let i(h) be the third derivative of h**9/211680 + h**8/35280 + 17*h**5/60 - 6*h**2. Let d(q) be the third derivative of i(q). Find o, given that d(o) = 0.
-2, 0
Find a such that 22/3*a**4 + 0*a - 41/3*a**3 + 0 + 20/3*a**2 - 1/3*a**5 = 0.
0, 1, 20
Suppose 3*h = -3*n - 95 + 17, 76 = -3*h - 4*n. Let i be (-5)/(-6)*h/(-35). Determine r, given that 0 - 2/3*r + i*r**2 = 0.
0, 1
Let t(w) = 129*w**4 - 465*w**3 + 123*w**2 - 15*w - 6. Let p(m) = -m**4 - 3*m**3 - m**2 - m - 1. Let g(o) = 6*p(o) - t(o). Let g(l) = 0. Calculate l.
0, 1/9, 1/5, 3
What is h in -36/7 - 2/7*h**2 + 18/7*h = 0?
3, 6
Let n(m) be the third derivative of -m**6/480 - m**5/40 - 5*m**4/96 + m**3/2 - 70*m**2. Find h, given that n(h) = 0.
-4, -3, 1
Let f be ((-6)/(-8))/((-30)/(-16)). Suppose -5*j = 5*u - 15 - 15, 0 = 5*j - u - 6. Find m, given that -f*m + 1/5*m**j + 1/5 = 0.
1
Suppose 4*o + 3 - 19 = 0. Suppose 2*w + o*k = -w - 2, 0 = w + k. Determine c, given that -12/5*c - 159/5*c**w + 12/5 - 27*c**3 = 0.
-1, -2/5, 2/9
Let z = -1008 - -2021/2. Factor 0 - 5/2*k**3 + z*k**2 + 0*k.
-5*k**2*(k - 1)/2
Find f such that 15*f**2 + 2 + 5*f**3 - 2 + 1409*f - 1429*f = 0.
-4, 0, 1
Factor 0 + 1/5*l**4 - 3/5*l**2 + 0*l - 2/5*l**3.
l**2*(l - 3)*(l + 1)/5
Let h(f) = -f**3 - 10*f**2 - 6*f + 19. Let o be h(-9). Let w be -1*(0/(-1) + 6 + o). Determine q so that -3/4*q - 3/2 + 45/4*q**w + 21/4*q**4 - 57/4*q**3 = 0.
-2/7, 1
Suppose 88 - 88 = 17*z. Factor z*m + 9/7*m**2 - 4/7.
(3*m - 2)*(3*m + 2)/7
Let y(z) be the third derivative of -1/3*z**5 + 16/21*z**7 + 2/3*z**3 - 5/6*z**4 + 5/6*z**6 + 4/21*z**8 + 0*z + 10*z**2 + 0. Factor y(m).
4*(m + 1)**3*(4*m - 1)**2
Let z(g) = -2*g**3 + 2*g**2 + 4. Let l(h) = 6*h - 38. Let f be l(7). Let w(a) = 2*a**3 - 3*a**2 + a - 5. Let n(y) = f*w(y) + 5*z(y). Factor n(p).
-2*p*(p - 1)*(p + 2)
Let m(u) be the first derivative of 14 - 4/7*u**2 + 6/7*u + 2/21*u**3. Factor m(z).
2*(z - 3)*(z - 1)/7
Let c(o) = -31*o**2 + 7*o - 6. Let j = 5 - -3. Let h be j/(-4*(-1)/(-2)). Let w(z) = -32*z**2 + 8*z - 5. Let q(n) = h*c(n) + 5*w(n). Solve q(s) = 0.
1/6
Let j(x) be the first derivative of -x**3/6 + x**2 + 16*x + 204. Solve j(r) = 0 for r.
-4, 8
Let m(i) = i**2 - 4*i + 6. Let t be m(3). Suppose 2*v + 16 = t*v. Suppose 20*f**2 - v*f - 13*f + 12 - 7*f + 7*f**2 = 0. Calculate f.
2/3
Let y(s) be the first derivative of 2*s**3/27 - 4*s**2/9 - 10*s/9 + 297. Factor y(z).
2*(z - 5)*(z + 1)/9
Let n(v) = -3*v + 7. Let m be n(1). Factor -2902*s**4 - 117*s - 87*s**2 + 2899*s**m + 0*s**3 - 54 - 27*s**3.
-3*(s + 1)*(s + 2)*(s + 3)**2
Suppose -3*w = -7*w + 72. Let 33*g**3 + 6*g**4 + 12*g**4 + w*g**2 + 6*g**3 - 6*g**3 + 3*g**5 = 0. What is g?
-3, -2, -1, 0
Suppose 0 = j + l - 3, 3*j - 185*l + 180*l = 25. Find v such that 0*v + 0 + 3/2*v**j - 3*v**2 + 3*v**4 - 3/2*v**3 = 0.
-2, -1, 0, 1
Let x = -96 + 102. Let d(o) = o - 4. Let s be d(7). Factor -s*z**2 + 2*z**3 - 8 + 3*z**2 + x*z**2.
2*(z - 1)*(z + 2)**2
Let d(n) = -n**4 + n**3 + n**2 - n. Let y be ((1716/(-8))/(-13))/(6/8). Let o(q) = 10*q**4 - 11*q**3 - 8*q**2 + 13*q. Let f(r) = y*d(r) + 2*o(r). Factor f(j).
-2*j*(j - 2)*(j + 1)**2
Let v be ((-24)/(-16))/(2/4). Suppose -4*b + 11 = v. Let 0*k**5 - 28*k**3 - 5*k**5 - b + 2*k - k**5 + 12*k**2 + 22*k**4 = 0. Calculate k.
-1/3, 1
Let o(i) = -i**3 - 2*i**2 - i. Let r be o(-1). Suppose 3 = -r*u + u. Suppose n**3 - n**3 + 9*n**2 - 3*n**u - 10*n**2 = 0. Calculate n.
-1/3, 0
Let s(i) = -i**3 + i**2 - 6*i + 20. Let a be s(2). Let w(m) be the first derivative of m**2 - 8/15*m**3 + 1/10*m**a + 6 - 4/5*m. What is o in w(o) = 0?
1, 2
Suppose 5*v + 2*y = -2*y + 1, -3*y = 2*v + 1. Factor -30*m**3 + 21*m**4 + 48*m**3 + m**5 - 10 + 5*m**5 - 12*m**2 - 24*m + v.
3*(m - 1)*(m + 1)**3*(2*m + 3)
Solve -a**5 - 40*a**3 - 608*a**4 - 208*a**2 + 420*a - 200 + 632*a**4 + 5*a**5 = 0.
-5, 1, 2
Let n = 33 + -55. Let d be (1/((-2)/(-3)))/(n/(-44)). Determine k, given that 14/9*k + 4/9*k**2 - 14/9*k**d - 4/9 = 0.
-1, 2/7, 1
Let a(x) be the third derivative of x**7/504 - x**6/54 - 11*x**5/72 - 5*x**4/12 + 4*x**3 + 24*x**2. Let i(k) be the first derivative of a(k). Factor i(f).
5*(f - 6)*(f + 1)**2/3
Let c(k) be the second derivative of -k**7/63 + 2*k**6/45 + k**5/10 - 2*k**4/9 - 4*k**3/9 - 5*k. Factor c(n).
-2*n*(n - 2)**2*(n + 1)**2/3
Let v(z) = -z**3 + 7*z**2 + 6. Let s be v(7). Factor -f**3 + 4*f**2 - s*f**2 + 5*f**3 + 6*f**2.
4*f**2*(f + 1)
Let r be 336/180 - (-5)/(-3). Let d(l) = l - 4. Let h be d(4). Factor r*o + h + 4/5*o**3 - o**2.
o*(o - 1)*(4*o - 1)/5
Let f(p) be the second derivative of 2*p**6/45 + 2*p**5/15 - 4*p**4/9 - 16*p**3/9 - 2*p + 2. Solve f(n) = 0 for n.
-2, 0, 2
Let u be 15/(-6 - (-270)/48). Let p be -7 + 1 - (-46 - u). Determine n so that -1/6*n + 0 + 1/6*n**3 + p*n**2 = 0.
-1, 0, 1
Suppose 9 = -v + 2*y - 5*y, 4*v + 84 = 4*y. Let a be v + 17 + (-14)/(-5). Determine m, given that -6/5 - 3/5*m**2 + a*m = 0.
1, 2
Let k(i) be the second derivative of 16/15*i**5 + 34/9*i**3 - 4/3*i**2 - 40/9*i**4 - 5*i + 0. Factor k(n).
4*(n - 2)*(4*n - 1)**2/3
Let j be -3 + (6 - 0) + (-1)/1. Let a be 0*(j + 15/(-6)). Factor 3/5*i**3 + 0 - 3/5*i + a*i**2.
3*i*(i - 1)*(i + 1)/5
Suppose -12/7*m**5 - 2*m**4 + 24/7*m + 108/7*m**3 + 0 - 106/7*m**2 = 0. Calculate m.
-4, 0, 1/3, 1, 3/2
Solve -578/7*l**3 - 960/7*l + 4182/7*l**2 + 8 = 0 for l.
2/17, 7
Let h(p) be the third derivative of 1/1680*p**7 + 0*p + 6*p**2 - 1/6*p**3 - 1/16*p**4 + 1/320*p**6 - 1/240*p**5 + 0. Factor h(f).
(f - 2)*(f + 1)*(f + 2)**2/8
Let v(o) be the second derivative of -o**6/30 + o**5/5 - o**4/2 + 2*o**3/3 - o**2/2 - 13*o - 1. Factor v(i).
-(i - 1)**4
Let c = 23 + -35. Let z = 15 + c. Suppose 0*j**3 - 6 + 6*j**2 + z*j - 4*j**3 + j**3 = 0. What is j?
-1, 1, 2
Suppose 2*v + 8 = 26. Let n = v - -1. Find h, given that -h + 3*h**3 - n*h**2 + 2*h**4 - 5*h - 5*h**3 = 0.
-1, 0, 3
Let b be (-7)/((-7)/(-6))*10/(-20). What is h in 6*h**5 - 4*h**2 + 5*h**4 - h**4 - 18*h**3 + 12*h**b = 0?
-1, -2/3, 0, 1
Let b(g) be the second derivative of 22*g + 1/120*g**6 - 1/16*g**4 + 0 - 1/80*g**5 + 1/24*g**3 + 1/4*g**2. Solve b(z) = 0 for z.
-1, 1, 2
Let h be (3 - 0) + (-72)/(-72). Let z(k) be the first derivative of -1 + 0*k**2 + 1/20*k**5 - 1/16*k**h + 0*k + 0*k**3. Factor z(s).
s**3*(s - 1)/4
Let h(n) be the first derivative of -16*n**5 + 0*n - 19*n**4 + 2*n**2 - 6 + 8/3*n**3. Solve h(r) = 0.
-1, -1/5, 0, 1/4
Let h(u) be the second derivative of -u**5/90 + 11*u**4/54 - 10*u**3/27 + 4*u - 4. Suppose h(z) = 0. Calculate z.
0, 1, 10
Factor -5*c**2 + 141 - 260*c - 66 - 160 - 10*c**2.
-5*(c + 17)*(3*c + 1)
Suppose 0 = -13*g - 36*g. Let s(t) be the third derivative of -4*t**2 + 0 - 1/4*t**5 + g*t + t**3 + 3/8*t**4. Let s(c) = 0. Calculate c.
-2/5, 1
Let n(s) = s**3 + 83*s**2 + 89*s + 576. Let q be n(-82). Factor 2/3 + 2*v + 4/3*v**q.
2*(v + 1)*(2*v + 1)/3
Let n be 13*13 + (24/4)/6. Determine j so that -2*j**2 - n*j**3 + 190*j**3 - 5*j**4 + 2*j**2 = 0.
0, 4
Factor 6 + 64/7*y - 10/7*y**2.
-2*(y - 7)*(5*y + 3)/7
Factor -8*v - 17*v - 12 - 42 + 40*v + 3*v**2 - 6*v.
3*(v - 3)*(v + 6)
Let x(o) be the first derivative of -4*o**3/3 - 10*o**2 + 203. Let x(n) = 0. Calculate n.
-5, 0
Determine u so that 0*u + 0 - 4/7*u**2 = 0.
0
Let n(o) be the first derivative of -4/11*o**2 + 1/11*o**4 + 8/11*o + 2/55*o**5 - 2/11*o**3 + 10. Factor n(g).
2*(g - 1)**2*(g + 2)**2/11
Factor -1/5*k**5 - 6/5*k**4 + 0 + 0*k**2 - 8/5*k**3 + 0*k.
-k**3*(k + 2)*(k + 4)/5
Let p be 55 - 15 - (4/1 - 1). Suppose p*l + 4 = 38*l. Factor -2/5*d**l - 2/5*d - 2/5*d**5 + 4/5*d**3 + 4/5*d**2 - 2/5.
-2*(d - 1)**2*(d + 1)**3/5
Let k(m) = -m**4 - 11*m**3 + 29*m**2 - 27*m. Let a(x) = x**4 + x**3 - x**2. Let s(i) = -10*a(i) - 5*k(i). Find v, given that s(v) = 0.
0, 3
Let r be (334/(-1169))/(16/(-14)). Factor 0*o + 0*o**2 + r*o**3 + 0 - 1/4*o**4.
-o**3*(o - 1)/4
Let c = 9/196 - -10/49. Let z(n) be the second der