+ 1)*(f + 2)
Suppose 725*p - 138 = 656*p. Factor 7/9 - 8/9*l + 1/9*l**p.
(l - 7)*(l - 1)/9
Let g(q) = -q**3 - 34*q**2 - 31*q + 68. Let k be g(-33). Factor -1/2*y**2 - 5/2*y - k.
-(y + 1)*(y + 4)/2
Suppose -516*o = -536*o. Solve -15/2*f**2 + o - 45/4*f - 5/4*f**3 = 0.
-3, 0
Suppose -x + 11 = 2*b, -4*b - 5*x - 5 = -24. Find p, given that -13*p**3 - b*p**2 + 10*p**3 - 3*p**2 + 12*p = 0.
-4, 0, 1
Suppose -16/7*y**3 - 48/7 + 64/7*y - 4/7*y**2 + 4/7*y**4 = 0. Calculate y.
-2, 1, 2, 3
Let z(o) be the third derivative of -o**5/15 + 7*o**4/6 - 4*o**3 - 2*o**2 - 2*o. Find p such that z(p) = 0.
1, 6
Let s(h) be the first derivative of -h**4/4 - 9*h**3 + h**2/2 + 27*h - 63. Determine l so that s(l) = 0.
-27, -1, 1
Let t(d) be the third derivative of 1/165*d**7 + 0*d + 3/220*d**6 + 0*d**3 + 1/165*d**5 + 16 - d**2 + 0*d**4. Let t(p) = 0. Calculate p.
-1, -2/7, 0
Let t(w) be the second derivative of -w**6/240 + w**4/48 - 2*w**2 - 6*w. Let h(q) be the first derivative of t(q). Solve h(u) = 0.
-1, 0, 1
Let x(h) = -2*h + 2. Let i(n) = 245*n**3 + 70*n**2 + 85*n - 80. Let o(y) = i(y) + 40*x(y). Factor o(q).
5*q*(7*q + 1)**2
Suppose -n + 3*x + 48 = -2*n, 96 = -3*n + 3*x. Let a = 41 + n. Factor o**4 - o**5 - 2*o**3 + o**5 + o**a.
o**3*(o - 1)*(o + 2)
Suppose -k - 1 = -3*r, 2649 = 3*r - 2*k + 2653. Factor -3/7 + 4/7*n - 1/7*n**r.
-(n - 3)*(n - 1)/7
Let m(n) be the first derivative of 4*n**6/9 - 38*n**5/15 + 15*n**4/4 - 5*n**3/9 - 13*n**2/6 + n + 178. Determine k, given that m(k) = 0.
-1/2, 1/4, 1, 3
Suppose -2*z - c + 71 = 0, -3*c = -4*z - z + 150. Suppose 3*l + 19 = m, -9*l + 4*l = -2*m + z. Suppose -8*g + 54*g**3 + 4 + 54*g**4 + 0 - m = 0. What is g?
-2/3, 0, 1/3
Let z(a) be the first derivative of a**6/15 - 2*a**5/5 + 3*a**4/5 + 162. Factor z(b).
2*b**3*(b - 3)*(b - 2)/5
Suppose -m - 1 = -i + 2, 0 = -2*i - 4*m + 18. Let q be (-3)/(i + -2) + (2 - 1). Factor 3/2*c**2 - 3/2*c + q.
3*c*(c - 1)/2
Let j = -1319 - -1321. Find v such that -8/7*v + 4/7*v**j + 0 = 0.
0, 2
Let m(y) be the second derivative of 0*y**3 + 1/63*y**7 + 0 + 0*y**2 - 2/45*y**6 + 1/9*y**4 + 9*y - 1/30*y**5. Solve m(g) = 0.
-1, 0, 1, 2
Suppose -4*x - g + 189 = 0, -x + 6*x - g - 234 = 0. Let j = -20 - -120. Solve 24*p**2 - j*p - x*p**4 + 150*p**3 - 22*p**3 + 32 - 8 - p**4 - 28*p**5 = 0.
-3, -1, 2/7, 1
Suppose 4*a - 12 + 4 = 0. Let r(n) = 8 + 0*n**4 - 7 - a*n**3 - n**4. Let b(v) = 4*v**4 + 9*v**3 + v**2 - 5. Let l(j) = 4*b(j) + 18*r(j). Factor l(x).
-2*(x - 1)**2*(x + 1)**2
Let q(c) = 471*c - 12717. Let w be q(27). Factor 1/2*b**5 + w + 0*b**3 + b**2 - 1/2*b - b**4.
b*(b - 1)**3*(b + 1)/2
Let o(m) be the second derivative of -m**7/189 - 7*m**6/27 - 71*m**5/18 - 865*m**4/54 - 800*m**3/27 - 256*m**2/9 - 314*m. Factor o(a).
-2*(a + 1)**3*(a + 16)**2/9
Let m(f) be the second derivative of -f**6/30 - f**5/2 - 29*f**4/12 - 16*f**3/3 - 6*f**2 - 69*f + 1. Factor m(d).
-(d + 1)**2*(d + 2)*(d + 6)
Let h(x) be the first derivative of -1/15*x**5 + 4/3*x + 2/3*x**2 - 1/3*x**3 + 2 - 1/3*x**4. Determine z, given that h(z) = 0.
-2, -1, 1
Let f(j) be the second derivative of -j**6/15 + 13*j**5/5 - 28*j**4 - 26*j**3/3 + 169*j**2 - 2*j + 290. Factor f(c).
-2*(c - 13)**2*(c - 1)*(c + 1)
Let u(i) be the third derivative of -1/3*i**3 - 1/6*i**4 - 1/240*i**6 + 0 - 1/24*i**5 - 13*i**2 + 0*i. Determine d so that u(d) = 0.
-2, -1
Let c(j) = -2*j**2 + 9*j + 9. Let y be c(5). Let t(z) = 2*z**2 - 9*z + 4. Let b be t(y). Determine m, given that 2/5*m**4 - 2/5*m**2 + 2/5*m - 2/5*m**3 + b = 0.
-1, 0, 1
Let l be 209/(-3344) - (-2702)/32. Solve -l*v**4 + 0*v + 0 + 45/2*v**3 - 3/2*v**2 = 0 for v.
0, 2/15
Suppose -52 = 36*p - 232. Let j(v) be the first derivative of -16/15*v**p + 0*v**3 + 2/9*v**6 + 4/3*v**4 + 0*v - 3 + 0*v**2. What is r in j(r) = 0?
0, 2
Let d be 18/24 - (-3)/(-4). Let f = -405 + 407. Factor 0*t**f + d - 1/2*t + 1/2*t**3.
t*(t - 1)*(t + 1)/2
Let r be (-2)/(-2) - (-1 + 0). Solve r*x**3 - 2/5*x**4 + 12/5*x**2 - 3/5*x**5 - 2/5 + 1/5*x = 0.
-1, 1/3, 2
Let d(w) be the third derivative of -w**7/420 + w**6/45 - w**5/20 - w**3/2 - 10*w**2. Let n(z) be the first derivative of d(z). Factor n(y).
-2*y*(y - 3)*(y - 1)
Let c(i) be the third derivative of -1/20*i**5 - 5*i**2 + 0 + 0*i - 1/2*i**3 + 1/4*i**4. Factor c(n).
-3*(n - 1)**2
Let z be (-9)/((-486)/102) - (-4)/9. Suppose 4/3 - w**3 - z*w**2 + 0*w = 0. Calculate w.
-2, -1, 2/3
Let t(r) = -2*r + 34. Let x(l) = 4*l**2 + 36*l + 15. Let w be x(-9). Let j be t(w). Let j*p**4 + 33/4*p**2 + 1/4 + 10*p**3 + 5/2*p = 0. Calculate p.
-1, -1/4
Let i(w) = -36*w**5 - 208*w**4 - 319*w**3 - 188*w**2 - 50*w - 4. Let m(u) = -u**4 + u**2 + u. Let c(v) = i(v) + 5*m(v). Determine x so that c(x) = 0.
-4, -1, -1/3, -1/4
Let w = -46 + -5. Let z = w - -154/3. Factor -z*y + 1/6 - 1/2*y**2.
-(y + 1)*(3*y - 1)/6
Suppose 3*l + 5*x - 26 = x, 3*x - 15 = 0. Let d(f) be the third derivative of 0*f**4 - 1/300*f**6 + 0 - 1/30*f**3 + 1/100*f**5 + 4*f**l + 0*f. Factor d(r).
-(r - 1)**2*(2*r + 1)/5
Determine a so that 4*a**4 + 66*a**2 + 124*a + 70 + 42*a**2 + 36*a**3 - 22 = 0.
-4, -3, -1
Let q(x) = x**4 + x**2 - 3*x - 2. Let o(r) = -7*r**4 - 12*r**3 - 28*r**2 + 102*r - 37. Let f(n) = -o(n) - 6*q(n). Suppose f(d) = 0. What is d?
-7, 1
Let y = 7 + -2. Suppose 0 = -y*p + 165. Factor -70*v**2 - 25*v**4 - 46*v**3 - p - 39*v**2 + 156*v - 84*v**3 - 3.
-(v + 3)**2*(5*v - 2)**2
Let k(p) be the first derivative of -p**4/6 - 14*p**3/9 - 10*p**2/3 - 94. Factor k(z).
-2*z*(z + 2)*(z + 5)/3
Let c(i) be the first derivative of -i**6/24 - i**5/4 - 3*i**4/8 + i**3/3 + i**2 - 70. Factor c(s).
-s*(s - 1)*(s + 2)**3/4
Let j be -2*(2 + (-4 - 4/(-8))). Factor -15*b**3 + 0*b + 11*b**3 - 4*b**j + 4*b + 4*b**5.
4*b*(b - 1)**2*(b + 1)**2
Let d(p) = -17*p - 15. Let w be d(-1). Let u(q) be the first derivative of 4 - 1/36*q**6 + 1/9*q**3 + 1/6*q - 1/12*q**4 + 1/4*q**w - 1/10*q**5. Factor u(j).
-(j - 1)*(j + 1)**4/6
Factor s**2 + 15*s**2 - 12 - 9*s**3 + 3*s**3 - 70*s**2 + 10*s**4 - 50*s.
2*(s - 3)*(s + 1)**2*(5*s + 2)
Let k be 2/((-1)/7*-2). Let y(a) = 6*a**3 - 6*a**2 - 3*a - 3. Let r(h) = 11*h**3 - 12*h**2 - 6*h - 7. Let f(z) = k*y(z) - 3*r(z). Factor f(x).
3*x*(x - 1)*(3*x + 1)
Let w be (-9)/(-21) - 187/(-119). Factor 4/5*d**w + 0 - 8/5*d.
4*d*(d - 2)/5
Let w be -8*(-2 + 5/26*10). Suppose -8/13*q**3 + 0 - 2/13*q + w*q**2 = 0. What is q?
0, 1/2
Determine t, given that -6*t**3 - 628*t + 313*t + 2*t**3 + 319*t = 0.
-1, 0, 1
Let d(m) be the second derivative of -m**6/720 - m**5/80 - 2*m**3/3 + 21*m. Let a(z) be the second derivative of d(z). Factor a(q).
-q*(q + 3)/2
Let y(u) be the second derivative of 0*u**2 + 0*u**3 - 1/2*u**4 + 0 + 34*u + 3/4*u**5. Factor y(w).
3*w**2*(5*w - 2)
Let h(a) = a - 6. Suppose 3*z = 3*x + 30, -46 = -5*z + 4*x + 2. Let v be h(z). Factor 0 - 3 + 5*m**2 - v*m**2.
3*(m - 1)*(m + 1)
Suppose -x + 1 = -0*x. Suppose 5 + x = v. Solve 15 - 6 - v*f**2 + 2*f**2 + 6*f + f**2 = 0 for f.
-1, 3
Suppose 3 + 1 = b. Suppose 0 = 5*i - 7*i + b. Let -3*x**2 - 3*x + 2*x**i + 3*x = 0. What is x?
0
Let b(k) be the third derivative of k**6/60 + 19*k**5/60 + 11*k**4/24 + 7*k**3/2 + 2*k**2 - 4*k. Let g be b(-9). Factor 0*p**2 + 1/7*p**g - 1/7*p + 0.
p*(p - 1)*(p + 1)/7
Let s(g) be the second derivative of -g**5/80 - 5*g**4/48 + 3*g**3/2 - 49*g. Factor s(p).
-p*(p - 4)*(p + 9)/4
Let r(t) = -t + 5. Let k(i) = -i**2 - i - 4. Let q be k(-2). Let z be r(q). Factor 4*m**2 + 2*m + m + z*m**2 - 9*m.
3*m*(5*m - 2)
Let b be -1 + -20 + 41 + -18. Determine g, given that -8/3 + 4/3*g**5 + 4/3*g - 8/3*g**3 + 16/3*g**b - 8/3*g**4 = 0.
-1, 1, 2
Let a(n) be the first derivative of -50 + 1/21*n**6 + 4/7*n**2 + 20/21*n**3 - 5/14*n**4 - 16/7*n - 4/35*n**5. Determine k, given that a(k) = 0.
-2, -1, 1, 2
Solve 0 + 75/2*i**2 + 1/2*i**4 - 53/6*i**3 + 27/2*i = 0 for i.
-1/3, 0, 9
Let g(y) = -4*y**3 - 26*y**2 + 102*y - 64. Let f(v) = 9*v**3 + 51*v**2 - 206*v + 126. Let n(m) = 2*f(m) + 5*g(m). What is l in n(l) = 0?
-17, 1, 2
Let b(o) be the third derivative of -37*o**6/600 - 6*o**5/25 - 11*o**4/40 + o**3/15 - o**2 - 5. Suppose b(y) = 0. What is y?
-1, 2/37
Let v = 7 + -6. Let s be (v/(-4)*0)/3. Factor 1/2*r**4 - 1/6 - 4/3*r**3 + s*r + r**2.
(r - 1)**3*(3*r + 1)/6
Let s be 10*(12/(-20) - -1). Suppose 0 = 4*x - 6*x + s. Factor m**x - 7*m**2 - 3*m + 11*m**2 - 2.
(m 