-7*u**3 + u + 14*u**3 - 8*u**3.
-u*(u - 1)*(u + 1)
Let g be 9*1*(-4)/(-12). Let z be (1/g)/(40/48). Determine q, given that 2/5*q + z*q**2 - 2/5*q**4 + 0 - 2/5*q**3 = 0.
-1, 0, 1
Let r(n) = 30*n**4 - 25*n**3 + 10*n**2 - 15. Let s(z) = -z**4 + z**3 - z**2 + 1. Let o(p) = -r(p) - 15*s(p). Let o(w) = 0. Calculate w.
-1/3, 0, 1
Let c(l) = -l**3 - 5*l**2 + 6*l + 4. Let b(u) = 4*u**2 + 0*u**2 - u**3 - 3*u**2 + 1. Let r(w) = -4*b(w) + c(w). Suppose r(g) = 0. What is g?
0, 1, 2
Let m(o) = o**4 + o**2 - 1. Suppose -4*p - l = 0, -5*p + 9 + 6 = 5*l. Let s(t) = -2*t**5 - 4*t**4 - 6*t**2 + 6. Let h(c) = p*s(c) - 6*m(c). Factor h(a).
2*a**4*(a - 1)
Let w(t) be the first derivative of 2*t**3/39 - 3*t**2/13 + 4*t/13 - 7. Factor w(s).
2*(s - 2)*(s - 1)/13
Let i(k) = k**2 + 2*k + 4. Let c(z) = -z - 3*z + z**2 + 3*z + 1. Let u(d) = -4*c(d) + i(d). Let u(w) = 0. Calculate w.
0, 2
What is r in 236*r**3 - 2*r + 0*r**4 + r**4 - r**5 - 233*r**3 - r**2 = 0?
-1, 0, 1, 2
Suppose 0 = 4*h - 36 - 8. Determine c, given that -13*c + 2 + h*c - c**2 - 3 = 0.
-1
Factor 4/3*d + 8/3*d**2 + d**3 + 0.
d*(d + 2)*(3*d + 2)/3
Factor -2/5 - 16/5*i - 32/5*i**2.
-2*(4*i + 1)**2/5
Let g(n) be the third derivative of n**6/600 + 2*n**5/25 + 8*n**4/5 + 256*n**3/15 - 2*n**2. Factor g(x).
(x + 8)**3/5
Let f(q) be the second derivative of 9*q**7/28 + 9*q**6/4 - 9*q**5/20 - 49*q**4/12 - 41*q**3/12 - 5*q**2/4 + 10*q. Factor f(b).
(b - 1)*(b + 5)*(3*b + 1)**3/2
Let h(u) = -u**3 + 3*u**2 - u + 6. Let f be h(3). Factor -41*x**f + 4 + 6*x**2 - 6*x + 39*x**3 - 2.
-2*(x - 1)**3
Factor 14*s**2 - 14*s**3 - 2*s**4 - 4*s - 4 + 4 + 6*s**4.
2*s*(s - 2)*(s - 1)*(2*s - 1)
Let v(s) be the first derivative of -s**4/8 - 2*s**3/3 - 5*s**2/4 - s - 21. Factor v(y).
-(y + 1)**2*(y + 2)/2
Let k be -8 - -2 - 161/(-138) - -5. Factor -1/6*l**2 - k*l + 1/3.
-(l - 1)*(l + 2)/6
Suppose -1 = 5*d + 19. Let i be d/22 - (-96)/44. Factor 1/4*h**i + 1/4*h**3 - 1/4 - 1/4*h.
(h - 1)*(h + 1)**2/4
Let l be (30/(-5))/(-30) - 54/280. Let x(o) be the third derivative of 0 + 2*o**2 + 1/840*o**6 - 1/42*o**3 + 0*o - l*o**5 + 1/56*o**4. What is y in x(y) = 0?
1
Let u(f) = 18*f**4 - 27*f**3 - 15*f**2 + 23*f - 3. Let b(c) = -17*c**4 + 28*c**3 + 15*c**2 - 22*c + 2. Let o(s) = 2*b(s) + 3*u(s). Factor o(p).
5*(p - 1)**2*(p + 1)*(4*p - 1)
Let b = 12 - 11. Let m be (b - (5 + -3))*0. Determine d so that 4/9*d - 2/9*d**3 + m - 2/9*d**2 = 0.
-2, 0, 1
Let g(f) be the first derivative of -f**5/15 - 5*f**4/12 - f**3 + f**2/2 - 3. Let c(j) be the second derivative of g(j). Factor c(w).
-2*(w + 1)*(2*w + 3)
Let x = 1/171 + 569/171. Determine c, given that x*c**3 + 5/3*c - 5/3*c**4 + 1/3*c**5 - 10/3*c**2 - 1/3 = 0.
1
Let h = -8 - -11. Solve -3*b**3 + 2*b**2 + 2*b**3 + 3*b**h = 0.
-1, 0
Let z(p) be the first derivative of p**7/105 - p**5/15 + p**3/3 + p**2 + 1. Let f(r) be the second derivative of z(r). Let f(q) = 0. What is q?
-1, 1
Suppose -43 = -52*o + 61. Suppose 0 - 1/4*h**o + 0*h = 0. Calculate h.
0
Let l(j) = j**3 + 64*j**2 - 133*j - 62. Let m be l(-66). Factor 0 - 2/9*b**m - 8/9*b - 16/9*b**2 - 10/9*b**3.
-2*b*(b + 1)*(b + 2)**2/9
Factor 1/4*l**3 + 5/4 + 11/4*l + 7/4*l**2.
(l + 1)**2*(l + 5)/4
Let i be -1 - (-6)/(-2 - -5). Let o(q) = 3*q**3 + q. Let n be o(i). Factor -m**2 + 2*m**3 - 4*m**2 + 3*m**2 + 2*m**n - 2*m.
2*m*(m - 1)*(m + 1)**2
Let p = -2/9 + 17/36. Let t(f) be the first derivative of 0*f + 3 - 1/3*f**3 + 1/2*f**2 - p*f**4 + 1/5*f**5. Suppose t(s) = 0. What is s?
-1, 0, 1
Determine p so that 0 - 3/4*p**3 + 1/4*p**2 + 3/4*p**4 - 1/4*p**5 + 0*p = 0.
0, 1
Let r(b) = 0*b**3 + 20*b**2 + 4*b + 2*b**3 - 18*b. Let o(w) = -w**3 - 13*w**2 + 9*w. Let v(y) = -8*o(y) - 5*r(y). Suppose v(c) = 0. Calculate c.
0, 1
Let a = -1539 - -1539. Factor -8/3*v**3 - 2/3*v - 10/3*v**2 + a.
-2*v*(v + 1)*(4*v + 1)/3
Let o = -8 + 2. Let w be (-7 - o)*(-1 + 0). Let n(j) = j**4 + 1. Let u(a) = 2*a**5 + 12*a**4 - 4*a**3 + 2*a + 12. Let g(q) = w*u(q) - 12*n(q). Solve g(y) = 0.
-1, 0, 1
Let u(l) be the first derivative of -l**6/21 + l**4/14 - 15. Factor u(c).
-2*c**3*(c - 1)*(c + 1)/7
Let k(q) be the second derivative of q**9/1008 - q**8/560 - q**7/280 + q**6/120 - 5*q**3/6 - 9*q. Let p(w) be the second derivative of k(w). Factor p(v).
3*v**2*(v - 1)**2*(v + 1)
Let q be (0 + 1)/(1/3). Let o = 104 + -101. Find l such that -6*l + 6*l**o + 53*l**2 - 53*l**2 + 3*l**4 - q = 0.
-1, 1
Let m(j) be the second derivative of j**4/6 - 2*j**3/3 - 3*j**2 - 5*j. Solve m(n) = 0.
-1, 3
Suppose -17 = -4*c + 3*c - 3*d, 2*c + 4*d = 24. Suppose b - 3*i = -b, -c*b = -i. Suppose 8/3*j**5 - 6*j**4 + b + 0*j - 2/3*j**2 + 4*j**3 = 0. Calculate j.
0, 1/4, 1
Suppose -6*y - 1 = 17. Let s be (-6)/5*5/y. Determine a so that -1/2*a**s + 0*a + 0 = 0.
0
Suppose 2*a = -3*a + 3*a. Let a - 4/7*r + 2/7*r**2 = 0. What is r?
0, 2
Let y(l) = -l + 8. Let v be y(6). Let z(k) be the first derivative of -1/6*k**4 + 2/45*k**5 + 2/9*k**3 - 1/9*k**v + 1 + 0*k. Factor z(r).
2*r*(r - 1)**3/9
Let p(k) be the third derivative of 0*k + 0*k**3 + 1/30*k**4 + 1/105*k**7 + 0 + 2*k**2 + 1/300*k**6 - 1/280*k**8 - 1/30*k**5. Find h such that p(h) = 0.
-1, 0, 2/3, 1
Let p(h) be the first derivative of -9*h**3/5 - 18*h**2/5 - 12*h/5 + 4. Factor p(f).
-3*(3*f + 2)**2/5
Let s(l) be the third derivative of l**6/30 + l**5/5 - 2*l**4/3 - 21*l**2. What is w in s(w) = 0?
-4, 0, 1
Let h be (-18)/63 - 37/(-7). Let r = 13/2 - h. Factor 1/2*y + 0 + 1/2*y**4 + 3/2*y**3 + r*y**2.
y*(y + 1)**3/2
Let u(i) be the first derivative of -81/4*i - 9/2*i**3 - 3/4*i**4 + 1 - 1/20*i**5 - 27/2*i**2. Suppose u(j) = 0. What is j?
-3
Let o be 1/(-3) - (-14)/6. Let m be 3 + 3 - 2/o. What is x in m*x - x**4 - 5*x + x**2 = 0?
-1, 0, 1
Let l(u) be the second derivative of u**6/120 - u**5/10 + u**4/2 - u**3 - 4*u. Let s(m) be the second derivative of l(m). Factor s(q).
3*(q - 2)**2
Let t(s) be the second derivative of s**7/588 - s**6/105 + s**5/105 + s**3/6 + 5*s. Let l(g) be the second derivative of t(g). Factor l(n).
2*n*(n - 2)*(5*n - 2)/7
Let n = 15 - 26. Let b = -7 - n. Solve -2*f - 4/3*f**b + 8/3*f**2 - 2*f**5 - 4/3 + 4*f**3 = 0.
-1, -2/3, 1
Let y(r) be the third derivative of -r**2 - 3/20*r**5 + 0 - 1/6*r**3 + 1/4*r**4 + 0*r. Let y(z) = 0. Calculate z.
1/3
Let p(j) = j. Let i(y) = -y**2 + 12*y - 4. Let t(o) = i(o) - 4*p(o). Let c be t(7). Suppose 0*q**2 + 1/3*q**c + 2/3*q**5 - q**4 + 0*q + 0 = 0. Calculate q.
0, 1/2, 1
Let j be (42/175)/(6/20). Determine z, given that -j*z**2 + 4/5*z + 0 + 1/5*z**3 = 0.
0, 2
Let j(v) = -14*v**4 - 68*v**3 - 30*v**2 + 80*v + 32. Let z(l) = 15*l**4 + 68*l**3 + 29*l**2 - 80*l - 32. Let h(q) = -5*j(q) - 6*z(q). Solve h(w) = 0.
-2, -2/5, 1
Suppose 0*s + 0 + 24/7*s**4 - 10/7*s**5 - 18/7*s**3 + 4/7*s**2 = 0. Calculate s.
0, 2/5, 1
Let h(p) = 3*p**2 - 3*p - 11. Let y be (4 - -1)*24/(-5). Let x(t) = 15*t**2 - 15*t - 54. Let n(i) = y*h(i) + 5*x(i). Determine f so that n(f) = 0.
-1, 2
Let h(w) be the third derivative of -w**7/2268 + w**6/1620 - w**4/6 - w**2. Let l(g) be the second derivative of h(g). Factor l(m).
-2*m*(5*m - 2)/9
Let q(s) be the second derivative of -s**8/23520 + s**6/840 - s**5/210 + s**4/3 - 6*s. Let y(r) be the third derivative of q(r). Determine h so that y(h) = 0.
-2, 1
Let n(y) = 3*y**4 - 10*y**3 - 10*y**2 + 3*y. Let p(k) = -2*k**4 + 7*k**3 + 7*k**2 - 2*k. Suppose -4*s + 9*s + 25 = 0. Let f(j) = s*n(j) - 7*p(j). Factor f(b).
-b*(b - 1)**2*(b + 1)
Let j(v) be the first derivative of 1 + 0*v**2 - 2/9*v + 2/27*v**3. Factor j(k).
2*(k - 1)*(k + 1)/9
Solve 0 + 4/7*t - 2/7*t**3 - 2/7*t**2 = 0.
-2, 0, 1
Let y(p) be the third derivative of p**7/105 + p**6/20 + p**5/10 + p**4/12 + 6*p**2. Find x such that y(x) = 0.
-1, 0
What is q in -103/2*q**3 - 75*q**2 - 11*q**4 - 34*q - 4 = 0?
-2, -1/2, -2/11
Let h = 1327213/4948 - -22/1237. Let x = 271 - h. What is p in -x*p - 7/4*p**3 - 4*p**2 - 1/2 = 0?
-1, -2/7
Let c(w) = w - 9. Let x be c(9). Suppose -2/3*n + n**2 - 1/3*n**3 + x = 0. Calculate n.
0, 1, 2
Let w(p) be the second derivative of -p**6/50 + 3*p**5/50 - p**3/5 + 3*p**2/10 - 19*p. Factor w(f).
-3*(f - 1)**3*(f + 1)/5
Let q be (-12)/((-6)/3) - 3. Let x(f) be the second derivative of 2/3*f**2 + 4/9*f**4 + 0 + 1/10*f**5 + 7/9*f**q - 2*f. Factor x(o).
2*(o + 1)**2*(3*o + 2)/3
Let z(o) be the third derivative of -1/6*o**6 