w*(w - 7)*(2*w + 1)/5
Suppose -5*h + 30 = -5*a, -2*h + a = 3*h - 18. Suppose -18 = -5*d - h. Solve d*o**2 - 30 + 30 + 3*o = 0.
-1, 0
Suppose 0 = 3*o + 134 - 35. Let r be o/(-22)*2/1. Factor -4 + 10*h + h**r - 7*h**2 - h**2 + h**3.
2*(h - 2)*(h - 1)**2
Let o(f) be the third derivative of 20*f**2 + 1/270*f**5 + 0 + 0*f - 1/9*f**3 - 1/54*f**4. Suppose o(a) = 0. Calculate a.
-1, 3
Let h(f) = 21*f - 17. Let o be h(1). Let j(u) be the third derivative of 0*u**6 + 0*u**5 + 0*u**3 + 0 - 1/490*u**7 + 3*u**2 + 0*u + 0*u**o. Factor j(r).
-3*r**4/7
Factor -8/19 + 2/19*u**2 + 0*u.
2*(u - 2)*(u + 2)/19
Let d(n) = -n**2 - 3. Let x be d(0). Let r be (49/(-98))/((-1)/((-28)/x)). Factor 0 + 0*a + 4/3*a**2 + r*a**3.
2*a**2*(7*a + 2)/3
Let r(o) be the third derivative of -o**5/45 - o**4/3 - 2*o**3 + 69*o**2 - o. Factor r(u).
-4*(u + 3)**2/3
Let z = 1541/7 - 26183/119. Factor -z*b**4 - 8/17*b + 4/17*b**3 - 8/17 + 6/17*b**2.
-2*(b - 2)**2*(b + 1)**2/17
Let l(b) be the second derivative of 0*b**3 - 3/2*b**2 + 0 + 1/300*b**5 + 0*b**4 - 3*b. Let o(m) be the first derivative of l(m). Factor o(u).
u**2/5
Factor 18/7 + 33/7*a + 3/7*a**3 + 18/7*a**2.
3*(a + 1)*(a + 2)*(a + 3)/7
Let c(o) = -2*o - 13. Let h(y) = -y - 13. Let g(x) = -3*c(x) + 4*h(x). Let s be g(9). What is u in -8 + 7*u + s*u - 3*u**3 - u**3 = 0?
-2, 1
Let f = 1795/14 - 894/7. Let n = -3 + 8. Solve -1/2*w**n + 0*w**4 + 0*w + 0*w**2 + f*w**3 + 0 = 0 for w.
-1, 0, 1
Let j(o) = -6*o - o - 102*o**2 + 106*o**2. Let v(i) = i**2 - i - 1. Let m(c) = j(c) - 3*v(c). Factor m(d).
(d - 3)*(d - 1)
Let o(g) be the second derivative of g**6/70 + 12*g**5/35 + 29*g**4/28 + g**3 - g + 34. Solve o(c) = 0.
-14, -1, 0
Let s = -1482/25 - -15889/50. Let l = 260 - s. Suppose 0 + 0*n + 0*n**3 + l*n**2 - 3/2*n**4 = 0. Calculate n.
-1, 0, 1
Factor -1/3*v**4 - 27*v + 1/3*v**3 + 18 + 9*v**2.
-(v - 3)**2*(v - 1)*(v + 6)/3
Factor 6*d - 3/2*d**2 + 0.
-3*d*(d - 4)/2
Let i = 226 + -143. Let t = -83 + i. Factor -12/5*v**3 + 0*v**4 + 2/5*v**5 + t + 16/5*v**2 - 6/5*v.
2*v*(v - 1)**3*(v + 3)/5
Suppose i = 2*h + 8, -5*h - 32 = -4*i - 0*h. Suppose 9*s = i*s + 2. Factor -47 - 101*b**4 + 252*b - 126*b**3 + 128*b**4 + 39*b**s + 155.
3*(b - 3)**2*(3*b + 2)**2
Let t be (-61)/(-90) - 184/276. Let g(u) be the third derivative of t*u**5 + 16/9*u**3 - 2/9*u**4 - 12*u**2 + 0 + 0*u. Factor g(w).
2*(w - 4)**2/3
Let i(s) be the third derivative of s**8/336 + s**7/30 + s**6/8 + 3*s**5/20 + 294*s**2. Factor i(m).
m**2*(m + 1)*(m + 3)**2
Let d(n) be the first derivative of -n**5/50 + 2*n**4/15 - n**3/3 + 2*n**2/5 - 14*n - 13. Let w(p) be the first derivative of d(p). Factor w(z).
-2*(z - 2)*(z - 1)**2/5
Let d(j) = -j**3 + 2*j**2 - j - 1. Let t(m) = -9*m**3 + 28*m**2 + m - 24. Let y(x) = -4*d(x) + t(x). Factor y(i).
-5*(i - 4)*(i - 1)*(i + 1)
Let h(l) be the first derivative of -l**3/15 + 6*l**2/5 + 28*l/5 + 66. Factor h(m).
-(m - 14)*(m + 2)/5
Suppose 6 - 57 = -3*k. Suppose -3*n - k = -77. Solve 686*o**5 + 4*o - 950*o**4 + 72*o**2 + 68*o**4 - n*o + 140*o**3 = 0 for o.
-2/7, 0, 2/7, 1
Let z(m) be the third derivative of 0*m + 1/80*m**6 + 1/60*m**5 + 1/420*m**7 + 0*m**4 + 0*m**3 + 16*m**2 + 0. Suppose z(u) = 0. What is u?
-2, -1, 0
Let c(h) = -11*h**2 - 10*h - 2. Let n(m) = m**2 - m - 1. Suppose 10 + 15 = -5*k. Let o(l) = k*c(l) - 10*n(l). Factor o(s).
5*(3*s + 2)**2
Let n = 26 + -35. Let c be (57/(-38))/(n/8). Let -c - 2*x - 2/3*x**2 = 0. What is x?
-2, -1
Let z(k) be the third derivative of -1/72*k**4 + 0*k + 0 + 0*k**3 + 0*k**5 + 13*k**2 + 1/360*k**6. What is d in z(d) = 0?
-1, 0, 1
Let k be (-1)/((-60)/(-144)) - -3. Find l, given that -12/5 + k*l**2 + 12/5*l - 3/5*l**3 = 0.
-2, 1, 2
Let m be 1/(-4)*-4*(1 - 0). Suppose 15 = -5*s, -x + 3*s + m + 10 = 0. Solve -2/3*h - 7/3*h**x + 0 = 0.
-2/7, 0
Let c be ((-3 + 2)*3)/((-75)/(-100)). Let n be (-1)/5*(-2)/c*-12. Factor 0 + 2/5*z + 6/5*z**3 + 2/5*z**4 + n*z**2.
2*z*(z + 1)**3/5
Let i = 36 - 13. Let f = i - 19. Factor -8*x**5 - 47*x**4 - f*x**3 + 61*x**4 - 3*x**2 + x**2.
-2*x**2*(x - 1)**2*(4*x + 1)
Let b(t) be the first derivative of 8 + 35/2*t**2 + 0*t - 5/3*t**3. Factor b(w).
-5*w*(w - 7)
Let h(j) be the second derivative of 3/10*j**6 - 9/20*j**5 + 0*j**3 + 0*j**2 + 1/4*j**4 + 0 - 9*j - 1/14*j**7. Factor h(q).
-3*q**2*(q - 1)**3
What is u in -162*u + 3/2*u**2 + 4374 = 0?
54
Let l be (4 - 2)*(0 + 2). Factor 1/2*j**l + 1/2*j**5 + 0 + 0*j - 1/2*j**3 - 1/2*j**2.
j**2*(j - 1)*(j + 1)**2/2
Let x(i) be the third derivative of 0 + 0*i - 9/16*i**3 + 1/320*i**6 + 1/32*i**5 + 3/64*i**4 + 16*i**2. Factor x(w).
3*(w - 1)*(w + 3)**2/8
Let d(m) be the first derivative of -9*m**4/2 - 8*m**3 - m**2 + 4*m + 83. Find t such that d(t) = 0.
-1, -2/3, 1/3
Let w = 63 + -42. Let q be ((-3 - -5)*w)/((-9)/(-2)). Suppose -12*z**2 + q*z**3 + 20/3*z - 8/3*z**4 - 4/3 = 0. What is z?
1/2, 1
Determine j so that -9*j**2 + 5*j**3 + 55*j**2 + 5 - 51*j**2 - 5*j = 0.
-1, 1
Let v(i) be the second derivative of -i**3/6 - 5*i**2 + 3*i. Let a be v(-14). What is u in -a*u - 4 + 2 + 2*u**2 - 3 - 1 = 0?
-1, 3
Let r(d) be the first derivative of 2*d**5/5 - 29*d**4/2 + 148*d**3 - 140*d**2 - 784*d + 512. Factor r(b).
2*(b - 14)**2*(b - 2)*(b + 1)
Let x = -524/15 - 596/15. Let m = x + 75. Factor -1/3*p**2 + 0 + 2/3*p**3 - m*p**4 + 0*p.
-p**2*(p - 1)**2/3
Let c be (54/12)/((-6)/(-4)). Let y(j) = 20*j**2 + 96*j - 100. Let v(h) = -7*h**2 - 32*h + 33. Let f(s) = c*y(s) + 8*v(s). Solve f(i) = 0 for i.
-9, 1
Let z(t) be the first derivative of 2*t**5/5 + 5*t**4/2 + 8*t**3/3 - 256. Factor z(s).
2*s**2*(s + 1)*(s + 4)
Let o(j) be the first derivative of -12 + 1/2*j**3 - 15/4*j**2 + 3*j + 3/4*j**4. Factor o(a).
3*(a - 1)*(a + 2)*(2*a - 1)/2
Let o(y) = -36*y**4 + 84*y**3 + 344*y**2 + 256*y. Let j(m) = -13*m**4 + 28*m**3 + 115*m**2 + 86*m. Let v(s) = 8*j(s) - 3*o(s). What is h in v(h) = 0?
-2, -1, 0, 10
Factor 23 - 30*f**4 + 2*f**5 + 440*f**2 - 1062*f**3 + 1082*f**3 + 617 - 7*f**5 + 960*f.
-5*(f - 4)*(f + 2)**3*(f + 4)
Let i = 148/5 - 1016/35. Let 4/7*s**4 + 12/7*s**2 - i*s + 0 - 12/7*s**3 = 0. What is s?
0, 1
Suppose -2*x - 2 = -3*x, x = 2*y - 2. Let q(l) be the first derivative of 0*l + 2/9*l**3 + y - 2/3*l**2. Find o, given that q(o) = 0.
0, 2
Let i = 9944/14919 - -2/14919. Find k, given that -i*k - 4/3*k**2 + 2/3 = 0.
-1, 1/2
Let f be (4 + -2 - 6)/(-1). Suppose 0 = -5*m - 2*b + 26, -2*m + 3*b = f*b - 11. Factor -m*a**2 + 3*a**5 + 3*a + 3*a**2 + a**2 - 6*a**3.
3*a*(a - 1)**2*(a + 1)**2
Let t(h) = -96*h + 1250. Let r be t(13). Factor -4/11*k**2 + r + 42/11*k.
-2*(k - 11)*(2*k + 1)/11
Let c be -2 - (-30)/(-126)*-12. Factor -2/7*p + 4/7 + 2/7*p**4 - c*p**2 + 2/7*p**3.
2*(p - 1)**2*(p + 1)*(p + 2)/7
Let z(o) = o**3 + 16*o**2 + 24*o - 33. Let h be z(-11). Let i be (4*7/h)/(1/18). Let 2/11 - 10/11*l**3 - i*l**2 - 6/11*l = 0. What is l?
-1, 1/5
Let g(v) be the third derivative of -3*v**8/112 + v**7/35 + 7*v**6/40 + v**5/10 - 47*v**2. Suppose g(d) = 0. Calculate d.
-1, -1/3, 0, 2
Let g(q) = q**2 - 2*q - 1. Let w be g(-3). Let r(h) = -h + 19. Let z be r(w). Factor -16*u - z*u - 4 + 13*u - 4*u**2.
-4*(u + 1)**2
Let w = 10 + -1. Let 0*i**2 - 3 + 4*i**2 - w*i + 5 + 0 = 0. What is i?
1/4, 2
Suppose 0*n + 45 - 4785*n**2 + 2388*n**2 - 40*n + 2392*n**2 = 0. What is n?
-9, 1
Factor -38/9*u + 8/9 - 10/9*u**2.
-2*(u + 4)*(5*u - 1)/9
Let x(a) = a**2 + 1. Let f(o) be the third derivative of 6*o**2 + 0*o + 0 + 1/15*o**5 + 0*o**4 + o**3 - 1/60*o**6. Let j(q) = f(q) - 6*x(q). Factor j(s).
-2*s**2*(s + 1)
Suppose -10 = -v - 30. Let j be v/(-21) - 44/66. Factor 0*i**3 + 0 - j*i**4 + 0*i + 2/7*i**2.
-2*i**2*(i - 1)*(i + 1)/7
Let a(b) = -3*b**3 + 6*b - 6. Suppose 4 = -12*m + 11*m. Let t(k) = 3*k**3 + k**2 - 7*k + 7. Let n(y) = m*a(y) - 3*t(y). Let n(w) = 0. What is w?
-1, 1
Let z(p) be the second derivative of -p**5/40 + 43*p**4/4 - 1849*p**3 + 159014*p**2 + 465*p - 1. Factor z(t).
-(t - 86)**3/2
Let c(b) = -b**5 - 3*b**4 + 4*b**3 - 2*b**2 + 2*b. Let t(z) = -z**5 - 4*z**4 + 5*z**3 - 3*z**2 + 3*z. Let l(s) = 3*c(s) - 2*t(s). Let l(p) = 0. What is p?
-2, 0, 1
Let l(s) = 2*s**2 + 12*s - 552. Let j be l(14). What is w in 0*w - j*w**5 - 1/2*w**2 + 7/2*w**3 + 0 - 4*w**4 = 0?
-1, 0, 1/4
Let z(i) = 5*i**2 + 7*i + 45. Let q(n) = -40*n**2 - 55*n - 375. Let j(a) = 3*q(a) + 25*z(a). Suppose j(o) = 0. Calc