 -2/5*t + 0*t**3 - 4/5*t**2 + 4/5*t**4 + 0 + m*t**5.
2*t*(t - 1)*(t + 1)**3/5
Suppose -5*q - 11 = -31. Let g(c) be the first derivative of -5*c**2 - 1/2*c**4 + q*c - 2 + 8/3*c**3. Solve g(u) = 0.
1, 2
Let d(u) = -5*u**2 + 2*u + 6. Let q(g) = 6*g**2 - g - 7. Let i(x) = 4*d(x) + 3*q(x). Solve i(o) = 0.
-1/2, 3
Solve -1/2*r**2 - 1/4*r**3 + 0 + 3/4*r = 0.
-3, 0, 1
Let c(q) = -12*q**2. Let l(n) = n**2. Let s(h) = -c(h) - 9*l(h). Let s(g) = 0. Calculate g.
0
Let p(c) be the third derivative of -c**6/270 - c**5/36 - c**4/18 + c**3 - 5*c**2. Let u(o) be the first derivative of p(o). Factor u(v).
-2*(v + 2)*(2*v + 1)/3
Let k(m) be the first derivative of m**6/180 - m**5/10 + 3*m**4/4 - 3*m**3 - 3*m**2/2 + 4. Let d(r) be the second derivative of k(r). Factor d(v).
2*(v - 3)**3/3
Let b(v) be the first derivative of v**6/3 - 6*v**5/5 + v**4 - 21. Find u such that b(u) = 0.
0, 1, 2
Let o(x) be the third derivative of -x**5/30 - x**4/3 + 5*x**3/3 + 17*x**2. Determine v so that o(v) = 0.
-5, 1
Let i(m) = -m**2 + 5*m + 6. Let g be i(6). Factor g + 0*h**2 - 2/9*h**3 - 2/9*h**4 + 0*h.
-2*h**3*(h + 1)/9
Let y(u) be the third derivative of -u**7/420 + u**6/80 + u**5/120 - u**4/16 - 5*u**2. What is s in y(s) = 0?
-1, 0, 1, 3
Let o(f) = 16*f**2 + 6*f. Let p(h) = h**2 + 0*h**2 - 3*h + 2*h - 4*h**2. Let m(t) = 6*o(t) + 33*p(t). Factor m(g).
-3*g*(g - 1)
Determine i, given that -2/17*i + 2/17*i**2 - 4/17 = 0.
-1, 2
Suppose -39 = -3*f - 10*f. Determine w, given that -6/5*w**4 + 6/5*w**f + 0 + 2/5*w**5 + 0*w - 2/5*w**2 = 0.
0, 1
Let u(b) be the third derivative of b**5/150 - b**4/30 - b**3/5 + 3*b**2. Let u(a) = 0. Calculate a.
-1, 3
Let b(u) = 8*u**3 - 24*u**2 + 9*u - 7. Let v(z) = 4*z**3 - 12*z**2 + 5*z - 3. Let f(s) = 3*b(s) - 7*v(s). Factor f(m).
-4*m*(m - 2)*(m - 1)
Let g = 1/3 + 1/3. Let r(b) be the third derivative of -1/4*b**4 + 0 - b**2 + 0*b + g*b**3 + 1/30*b**5. Find i such that r(i) = 0.
1, 2
Factor 17*u - 1 + 5 - 3 + 144*u**2 + 7*u.
(12*u + 1)**2
Let q(m) = -m**2 + m - 1. Let v(g) = 10*g**2 - 11*g + 6. Let n(w) = -18*q(w) - 2*v(w). Factor n(z).
-2*(z - 3)*(z + 1)
Suppose -4*j = 4*d - 8 - 0, -2*d = 2. Solve 0*i**j + 2/3*i**4 + 1/3*i - 2/3*i**2 + 0 - 1/3*i**5 = 0.
-1, 0, 1
Let j be 4/18 - (-188)/(-36). Let i be j*(-1)/3*3. Determine u, given that 5*u**2 - 6*u**2 - 4*u**4 + i*u**2 - 2*u**5 + 2*u = 0.
-1, 0, 1
Suppose w - 8 = -5*h, -4*h + 2*w + 3 = -9. Let q = -54 + 217/4. Factor 1/4*b**h + q + 1/2*b.
(b + 1)**2/4
Suppose 0 = -s + 15 - 3. Suppose -2*q + s = -5*q, -2*f = 4*q + 8. Determine w, given that 2*w + f*w**2 - 3*w**2 - 3*w**2 = 0.
0, 1
Suppose 2*f - 3 = f. Let y be 8 - 4 - (-2 + f). Factor -s**2 - 6*s**y + 0*s**2 + 4*s**3 + 3*s**3.
s**2*(s - 1)
Suppose l - 5 - 1 = 0. Let x be (l*1)/((-4)/(-2)). Factor -2*a**x - 8*a + 3*a**3 + 7*a.
a*(a - 1)*(a + 1)
Let r(c) = 4*c + 4. Let a be r(-1). Find m such that -1/4 + 1/4*m**2 + a*m = 0.
-1, 1
Let y(j) be the first derivative of 0*j - 1 - 3/2*j**2 + j**3. Factor y(q).
3*q*(q - 1)
Factor 0*n + n**2 - 38 - n + 36.
(n - 2)*(n + 1)
Let o(j) be the second derivative of j**9/30240 + j**8/13440 + j**4/4 + 2*j. Let b(q) be the third derivative of o(q). Factor b(u).
u**3*(u + 1)/2
Let l(x) be the second derivative of x**6/50 - 3*x**4/20 + x**3/5 - x. Solve l(g) = 0 for g.
-2, 0, 1
Let c(h) be the third derivative of -h**9/30240 + h**8/5040 - h**7/2520 - h**5/10 + 2*h**2. Let b(o) be the third derivative of c(o). Factor b(m).
-2*m*(m - 1)**2
Let r(k) = k**2 + 2. Let w(m) = 3. Let o(j) = -3*r(j) + 2*w(j). Let o(h) = 0. Calculate h.
0
Let p be (39/325)/(9/10). Factor 2/15*y**4 - 4/15 - p*y**3 + 2/3*y - 2/5*y**2.
2*(y - 1)**3*(y + 2)/15
Let b(s) = 2*s**2 + 3*s - 4. Let f be b(-3). Solve -42*a**5 - 30*a**3 - 5 - 33*a**4 + f - 4*a**2 - 35*a**4 = 0.
-1, -1/3, -2/7, 0
Find c, given that 2/9*c**5 - 2/3*c**4 + 2/9*c + 4/3*c**2 - 4/9*c**3 - 2/3 = 0.
-1, 1, 3
Let a = 18 - 5. Suppose -17*h = -a*h. Factor 1/3 - 1/3*d**2 + h*d.
-(d - 1)*(d + 1)/3
Let c(s) = -s - 1. Let d be c(-4). Suppose 0 = -2*t - t + 2*t. Find j, given that 0*j - 1/2*j**d - 1/2*j**2 + t = 0.
-1, 0
Let a(q) be the second derivative of -5*q**7/42 - q**6/6 + q**5/4 + 5*q**4/12 + 11*q + 1. Factor a(r).
-5*r**2*(r - 1)*(r + 1)**2
Let l(v) be the first derivative of -v**6/75 - v**5/25 + 2*v**3/15 + v**2/5 + 7*v - 4. Let u(d) be the first derivative of l(d). Factor u(y).
-2*(y - 1)*(y + 1)**3/5
Let f(j) be the third derivative of j**7/1890 + 7*j**6/1080 + 2*j**5/135 - 2*j**4/27 - 32*j**2. Factor f(a).
a*(a - 1)*(a + 4)**2/9
Let r be -8*(-3)/(-48)*-2. Let r + b + 1/4*b**2 = 0. Calculate b.
-2
Let 3/2 + 6*c**2 - 15/2*c = 0. What is c?
1/4, 1
Suppose 9 = 3*k - 0. Let -k*m**3 - 8*m**2 + 2*m**3 - 4*m - 3*m**3 = 0. What is m?
-1, 0
Let k(u) be the first derivative of 5103*u**5/5 + 486*u**4 - 72*u**3 - 80*u**2 - 16*u - 16. Let k(x) = 0. What is x?
-2/9, 2/7
Suppose -5*t - 2 = -4*w, 4*w = 7*t - 8*t + 14. Solve -4/11 - 2/11*c**t - 6/11*c = 0.
-2, -1
Suppose 10/3*h - 2/3*h**2 - 2 - 2/3*h**3 = 0. What is h?
-3, 1
Let o(m) be the first derivative of 2*m**7/105 - 13*m**6/120 + 11*m**5/60 - m**4/12 - 3*m**2/2 - 3. Let w(j) be the second derivative of o(j). Factor w(n).
n*(n - 2)*(n - 1)*(4*n - 1)
Let m = -47 + 47. Let h(k) be the second derivative of m + 3*k - 8/3*k**3 + 4*k**2 - 1/10*k**5 + 5/6*k**4. Factor h(d).
-2*(d - 2)**2*(d - 1)
Suppose 0 = -2*v + 3 - 39. Let y = -8 - v. Factor 10 - n**3 - y - n**5 + 2*n**4.
-n**3*(n - 1)**2
Let y be (-88)/12*(-12)/8. Let d be (y - -1)/((-14)/(-4)). What is v in -8/7 - 10/7*v**2 - d*v = 0?
-2, -2/5
Let n be (-26)/(-6) - 2/6. Let h = -3 + n. Factor -b**2 + h - 1.
-b**2
Let b(j) = -5*j**5 - 75*j**4 - 25*j**3 - 15*j + 15. Let c(q) = q**5 + 19*q**4 + 6*q**3 + 4*q - 4. Let t(f) = 4*b(f) + 15*c(f). Factor t(y).
-5*y**3*(y + 1)*(y + 2)
Let a = 34/5 - 32/5. Factor -2/5*k + a*k**3 + 2/5 - 2/5*k**2.
2*(k - 1)**2*(k + 1)/5
Let g(s) = s**2 + 6*s + 6. Let m be g(-6). Let u = 146 + -143. Determine w so that -3*w**5 + 3*w**2 - 4*w**u + m*w**4 - 3*w**2 + w**3 = 0.
0, 1
Let j(f) be the first derivative of 5*f**6/2 + 22*f**5 + 305*f**4/4 + 130*f**3 + 110*f**2 + 40*f - 15. Suppose j(m) = 0. What is m?
-2, -1, -1/3
Let v be -20 - -23 - ((-44)/(-10))/2. Let i(g) be the second derivative of -g + 0*g**3 + 0 - 1/10*g**4 + 1/50*g**5 + v*g**2. Factor i(w).
2*(w - 2)**2*(w + 1)/5
Let a(u) be the third derivative of u**10/151200 - u**9/60480 + u**5/30 + 4*u**2. Let d(x) be the third derivative of a(x). Factor d(k).
k**3*(k - 1)
Suppose -4*b = 4*c + 88, -9 = c - 3*b + 13. Let i be 23 + c - (-1 + -1). Factor 0*k + 0*k**2 - 1/2*k**5 + 1/2*k**i + 0*k**4 + 0.
-k**3*(k - 1)*(k + 1)/2
Let z be (-288)/(-112) + 6/14. Suppose 10 = z*i + 4. Factor 1/2*v**i + 0*v - 1/2.
(v - 1)*(v + 1)/2
Let g be (-2)/2 + 4 - 0. Let y(h) be the first derivative of 0*h**5 + 1/4*h**4 + 0*h**g - 1 + 0*h - 1/12*h**6 - 1/4*h**2. Let y(j) = 0. What is j?
-1, 0, 1
Let c be (-96)/(-66) - (-8)/(-6). Let n(z) be the third derivative of -1/660*z**6 - c*z**3 + 0 + 0*z - 3*z**2 - 1/66*z**5 - 2/33*z**4. Factor n(b).
-2*(b + 1)*(b + 2)**2/11
Let o be -4*(78/20 + -4). Let j = -1291/5 + 259. Factor -j*q**4 + o*q**5 + 0*q**3 - 2/5*q + 0 + 4/5*q**2.
2*q*(q - 1)**3*(q + 1)/5
Let i(x) be the first derivative of 0*x - 1/12*x**3 + 2 - 3/20*x**5 + 3/16*x**4 + 1/24*x**6 + 0*x**2. Factor i(g).
g**2*(g - 1)**3/4
Let m(t) = -t**3 - 16*t**2 - 6. Let k be m(-16). Let o be 0*(1 + 8/k). Factor 1/4 - 1/4*l**2 + o*l.
-(l - 1)*(l + 1)/4
Let c(o) be the first derivative of o**8/4200 - o**7/2100 - o**6/450 + o**3/3 - 2. Let n(y) be the third derivative of c(y). Solve n(f) = 0.
-1, 0, 2
Let k be 29/(-14) - (-15)/6. Determine d so that 0 + k*d - 6/7*d**3 - 3/7*d**2 = 0.
-1, 0, 1/2
Let f(d) be the second derivative of -d**7/63 - 2*d**6/45 + d**5/15 + 2*d**4/9 - d**3/9 - 2*d**2/3 + 12*d. What is y in f(y) = 0?
-2, -1, 1
Let w(j) be the third derivative of 1/30*j**5 + 3*j**2 + 0 + 1/120*j**6 - 1/24*j**4 - 1/3*j**3 + 0*j. Factor w(c).
(c - 1)*(c + 1)*(c + 2)
Let i(p) be the second derivative of p**5/30 + p**4/18 - 2*p**3/9 - 7*p. Factor i(s).
2*s*(s - 1)*(s + 2)/3
Let o be (8/(-42))/(198/(-1485)). Factor o*i**3 + 0 + 8/7*i + 16/7*i**2 + 2/7*i**4.
2*i*(i + 1)*(i + 2)**2/7
Let o(w) be the first derivative of -w**5/2 + w**4/3 + 5*w**3/3 - 2*w**2