= 0.
-1, -1/2, 0, 1/3
Let i(w) be the first derivative of w**4/22 - 32*w**3/33 + 64*w**2/11 + 37. Solve i(o) = 0.
0, 8
Suppose 3*p = 4*w + 33, 7 = -2*p - w + 40. Let -p*s**4 + 25*s**3 - 1 + 15/2*s + 7/2*s**5 - 20*s**2 = 0. What is s?
2/7, 1
Let v = 417 - 1249/3. Factor -2/3*k**4 + 0*k**3 + v*k**2 + 0*k + 0.
-2*k**2*(k - 1)*(k + 1)/3
Let m(s) = -s**5 - s**4 + s**3 - 1. Let t = -13 + 14. Let n(l) = 6*l**5 + 5*l**3 - 10*l**2 + 5*l + 4. Let c(z) = t*n(z) + 5*m(z). Factor c(a).
(a - 1)**5
Let h be ((3 - -10) + -7)*1/5. Suppose 8/5*p + 8/5 - 4*p**3 - h*p**4 - 14/5*p**2 = 0. Calculate p.
-2, -1, 2/3
Suppose -44*l - 83 = -215. Factor 1/2*d**l + d**2 + 1/2*d + 0.
d*(d + 1)**2/2
Let b(u) be the second derivative of -u**7/3780 - u**6/720 - u**5/360 - u**4/3 + u. Let q(g) be the third derivative of b(g). What is p in q(p) = 0?
-1, -1/2
Let n(a) be the second derivative of -2*a + 0 - 1/60*a**4 - 2/5*a**2 - 2/15*a**3. Find z, given that n(z) = 0.
-2
Let t be 0/(2/(6/(-3))*2). Let p(i) be the second derivative of -1/36*i**4 + 1/9*i**3 + t*i**2 + 0 + 3*i. Let p(z) = 0. Calculate z.
0, 2
Let f(u) = u**3 + 5*u**2 - 3*u + 6. Let p be f(-5). Let a be 14/(-49) + 6/p. Find y, given that 0*y + a - 2/5*y**2 - 4/5*y**3 - 2/5*y**4 = 0.
-1, 0
Find r, given that -15*r**2 + 12161*r - 12161*r - 3*r**3 = 0.
-5, 0
Factor -2/7*a - 6/7 + 6/7*a**2 + 2/7*a**3.
2*(a - 1)*(a + 1)*(a + 3)/7
Factor 1/3*f**2 + 0 - 1/3*f.
f*(f - 1)/3
Solve -14*h**3 + 15*h**5 + 8*h + 9*h**2 - 2*h - 9*h**4 - 7*h**3 = 0 for h.
-1, -2/5, 0, 1
Let w = 17/384 - 3/128. Let d(m) be the third derivative of 1/24*m**3 - 2*m**2 + 0*m + 1/240*m**5 - w*m**4 + 0. Let d(c) = 0. What is c?
1
Suppose 2*f = 13 + 9. Factor 3*w**2 + 3*w**4 + 63*w**2 + 27 + f*w - 83*w - 24*w**3.
3*(w - 3)**2*(w - 1)**2
Let n(m) be the second derivative of m**4/3 - 6*m**3 - 20*m**2 - 40*m + 2. Solve n(f) = 0 for f.
-1, 10
Let n = 111 - 439/4. Factor -n*k**2 - 3/4*k + 0.
-k*(5*k + 3)/4
Factor 6*q**2 - 13*q**2 + q**2 - 3*q**4 + 9*q**3.
-3*q**2*(q - 2)*(q - 1)
Find o such that -40*o**3 + 5*o**2 - 27*o**3 + 72*o**3 = 0.
-1, 0
Factor -2/5*m**2 - 4/5 + 6/5*m.
-2*(m - 2)*(m - 1)/5
Let a(u) be the second derivative of u**4 + 0 + 3*u**2 - 2*u - 5/2*u**3 - 3/20*u**5. Factor a(h).
-3*(h - 2)*(h - 1)**2
Let c(u) be the second derivative of u**4/16 - u**3/8 - 6*u. Determine l, given that c(l) = 0.
0, 1
Let b(h) = 2*h**3 + 3*h**2 + 3*h + 1. Let n be b(-2). Let q = n - -16. Solve -4*m**2 + 4*m**4 - 2*m**4 + 0*m**4 + 14*m**3 - q*m**5 - 7*m + 2 = 0.
-1, 2/7, 1
Let k(c) be the third derivative of -c**5/60 + 7*c**4/24 - 2*c**3/3 - 2*c**2. Let j be k(6). Factor -2 + j*s**5 + 10*s**4 + 10*s**3 + 4*s**5 + 0 - 3*s**5 - 5*s.
(s + 1)**4*(3*s - 2)
Let r = 60 + 28. Let n = r - 262/3. Find u, given that 2/3*u - 2/3*u**3 - 2/3 + n*u**2 = 0.
-1, 1
Let s = -67 - -70. Factor 343/6*g**5 + 63*g**s + 4/3*g + 46/3*g**2 + 637/6*g**4 + 0.
g*(g + 1)*(7*g + 2)**3/6
Let q(j) be the first derivative of -j**5/48 + j**4/32 + j**3/12 + 4*j**2 - 6. Let c(z) be the second derivative of q(z). Let c(o) = 0. What is o?
-2/5, 1
Suppose y = 3*y - 2. Let w be -1 + y + 5 + -3. What is m in m**w + m - 5*m**2 + 0*m = 0?
0, 1/4
Let t = 36/103 - 118/927. Factor 0*i - t*i**2 + 2/9*i**3 + 0.
2*i**2*(i - 1)/9
Let a(c) = 2*c**2 - c - 1. Let w be a(-1). Let y = 24 + -24. Suppose w*b**2 - 4*b**3 + y*b**3 - 2*b**4 + 4*b**4 = 0. Calculate b.
0, 1
Let o = -15 - -17. Factor 16*g + 45 - 2*g**2 - 13 + 4*g**o.
2*(g + 4)**2
Let x(s) = 3*s**2 - 24*s + 46. Let y(g) = -9*g**2 + 72*g - 137. Let h(c) = -7*x(c) - 2*y(c). Find t, given that h(t) = 0.
4
Let r(u) be the first derivative of -3 + 0*u - 3/2*u**2 + u**3. Determine v, given that r(v) = 0.
0, 1
Let k(z) be the second derivative of z**4/54 - 7*z**3/27 - 8*z**2/9 - 23*z. Factor k(s).
2*(s - 8)*(s + 1)/9
Let f(k) be the third derivative of k**8/1008 + k**7/315 + k**6/360 + 16*k**2. Solve f(c) = 0.
-1, 0
Let z(t) = -t**2 - t - 1. Let q be 24*(-3 + 7/2). Let o(d) = -14*d**2 - 18*d - 16. Let x(y) = q*z(y) - o(y). Let x(l) = 0. Calculate l.
-2, -1
Let p(x) = -3*x**2 + 2*x - 5. Let i(t) = t**2 - t + 3. Let b(h) = 5*i(h) + 3*p(h). Let b(f) = 0. Calculate f.
0, 1/4
Factor 5*i**3 - 4/3*i**4 + 0 - 8/3*i**2 - i.
-i*(i - 3)*(i - 1)*(4*i + 1)/3
Let z be 12/66 - 60/(-33). Factor -6/5*m - 4/5 - 2/5*m**z.
-2*(m + 1)*(m + 2)/5
Let j(v) be the first derivative of 5*v**3/3 - 5*v**2 + 5*v - 24. Factor j(r).
5*(r - 1)**2
Suppose 5*t - 11 = -1. Find g, given that 0*g + 0*g**t + 1/2*g**3 + 0 = 0.
0
Let o(w) = 3*w + 5. Let f be o(-3). Let m be ((-12)/(-21))/(f/(-14)). Factor -2/3 + 4/3*k**m - 2/3*k.
2*(k - 1)*(2*k + 1)/3
Let l = 3391/3 + -1130. Factor -1/3*h**2 + 2/3*h - l.
-(h - 1)**2/3
Suppose -5*m + 12 = -2*m + 2*a, 5*a - 15 = 0. Find n such that 8*n**3 - 6*n**m + 4/3*n + 0 - 10/3*n**4 = 0.
0, 2/5, 1
Let z be 0 + -2 + -5 + 12. Suppose 3*n = -4*m + 4, 6 = 4*m + z*n + 2. Factor -m + 2*x - 5/4*x**2 + 1/4*x**3.
(x - 2)**2*(x - 1)/4
Let b(k) be the first derivative of -8*k - 1/2*k**4 + 4*k**2 - 7 + 2/3*k**3. Factor b(u).
-2*(u - 2)*(u - 1)*(u + 2)
Let z(h) = -6*h**5 - 4*h**4 + 10*h**3 - 4*h. Let q(g) = -7*g**5 - 5*g**4 + 11*g**3 + g**2 - 5*g. Let v(r) = 4*q(r) - 5*z(r). Suppose v(m) = 0. What is m?
-2, 0, 1
Suppose 0 = 2*f - 3*f + 2. Factor 7*u**5 + 3*u - u + 5*u**4 + 109*u**3 - 118*u**3 - 5*u**f.
u*(u - 1)*(u + 1)**2*(7*u - 2)
Let z = 23/10 + -9/5. Find n, given that z*n - 1/4*n**2 + 0 = 0.
0, 2
Let x be (0 - 3)/(3/(-2)). Factor -2*n**4 - 2*n**3 + 3*n**2 + 2*n**5 - 3*n**2 + x*n**2.
2*n**2*(n - 1)**2*(n + 1)
Let y = -6 + 10. Find j such that j - 1 - 2*j**3 + j + j**y + 0 = 0.
-1, 1
Let o(l) be the second derivative of 0 - 3*l + 0*l**2 + 1/10*l**6 + 1/4*l**4 + 0*l**3 - 3/10*l**5. Determine a so that o(a) = 0.
0, 1
Let i be 6/10 - (-2743)/(-4680). Let h(q) be the third derivative of i*q**4 + 0*q + 3*q**2 + 0 + 1/180*q**5 + 0*q**3. Factor h(b).
b*(b + 1)/3
Let t(c) be the first derivative of 2*c**5/15 - 2*c**3/9 + 40. Let t(v) = 0. What is v?
-1, 0, 1
Let b = 71/3 + -23. Factor -1/3 - b*o - 1/3*o**2.
-(o + 1)**2/3
Let j be ((-16)/(-4))/2 + 1. Let r(h) be the first derivative of 1/2*h**2 + 0*h + 1/3*h**j + 2. Determine m, given that r(m) = 0.
-1, 0
Let p(s) be the second derivative of -s**6/90 - 2*s**5/15 - s**4/2 - 8*s**3/9 - 5*s**2/6 + 5*s. Factor p(l).
-(l + 1)**3*(l + 5)/3
Let r be (2/(-5))/((-3)/30). Factor p - 4 + 2 + 4*p**3 + 2*p**r - 5*p + 0.
2*(p - 1)*(p + 1)**3
Let k(a) = a**4 + a**3 - a**2 + 1. Let m(z) = 10*z**4 - 23*z**3 + 8*z**2 + 3*z - 2. Let o(s) = -2*k(s) - m(s). Factor o(b).
-3*b*(b - 1)**2*(4*b + 1)
Let s(x) be the first derivative of -x**5/60 + x**4/6 - 2*x**3/3 + x**2/2 - 4. Let b(w) be the second derivative of s(w). Let b(i) = 0. Calculate i.
2
Factor 2*r**3 + r**3 + 2*r**5 - 9*r**3 + 0*r**5 - 4*r**2.
2*r**2*(r - 2)*(r + 1)**2
Let t(n) be the first derivative of 2/3*n**3 + 1/2*n**4 - n**2 - 2 - 2*n. What is d in t(d) = 0?
-1, 1
Let m(y) be the third derivative of y**9/60480 - y**8/12096 + y**7/7560 + y**5/20 - 2*y**2. Let z(b) be the third derivative of m(b). Factor z(s).
s*(s - 1)*(3*s - 2)/3
Factor 0 + 2/3*f**2 - 14/3*f.
2*f*(f - 7)/3
Suppose 4*z - 8*z = -8. Let o(q) be the first derivative of 10/9*q**3 - z - 1/3*q**4 + 2/3*q - 4/3*q**2. Solve o(v) = 0 for v.
1/2, 1
Let k(b) be the third derivative of b**7/735 + b**6/210 - b**4/42 - b**3/21 + 16*b**2. Determine i, given that k(i) = 0.
-1, 1
Let a(d) be the second derivative of d**7/7560 + d**6/2160 + d**4/6 - 3*d. Let p(z) be the third derivative of a(z). Factor p(g).
g*(g + 1)/3
Let l(t) be the second derivative of -t**5/180 - t**4/36 - t**3/18 + t**2 + 3*t. Let v(w) be the first derivative of l(w). Factor v(j).
-(j + 1)**2/3
Suppose -j - 4*a - 19 = 0, -19 = 2*j + 2*a + 1. Let i = -4 - j. Factor 0*l**2 - 2/5*l**i + 2/5*l + 0.
-2*l*(l - 1)*(l + 1)/5
Let c be (-2 + 0 - 1)/(-1). Factor 6 + g - 6 + 2*g**c - 3*g**3.
-g*(g - 1)*(g + 1)
Let u = -1528/3 - -374362/735. Let s(a) be the third derivative of 0 - 1/420*a**6 - 2*a**2 + 0*a**4 + 0*a - 1/210*a**5 + 0*a**3 + u*a**7. Factor s(w).
2*w**2*(w - 1)*(2*w + 1)/7
Suppose -32 + 36 = n. Determine w so that 6/17*w**2 - 4/17*w + 0*w**3 - 2/17*w**n + 0 = 0.
-2, 0, 1
Let u(q) be the first derivative of q**6/4 + 9*q**5/10 + 9*q**4/8 + q**3/2 - 19. What is y in u(y) = 0?
-1, 0
