 7*r**6/40 + 57*r**5/80 - 13*r**4/16 - 19*r**3/8 + 9*r**2/4 - 32*r. Solve b(p) = 0 for p.
-3, -1, 2/7, 1
Let j(u) be the third derivative of -u**7/735 - u**6/60 - u**5/14 - 13*u**4/84 - 4*u**3/21 + 3*u**2. Let j(c) = 0. Calculate c.
-4, -1
Let l(b) be the second derivative of 0 - 3*b + 0*b**2 + 0*b**3 - 1/25*b**5 + 0*b**4 - 1/75*b**6. Suppose l(i) = 0. What is i?
-2, 0
Let n = 1/22 + 85/66. Let k(p) be the first derivative of -4/3*p**3 + n*p**2 - 2/15*p**5 - 3 + 2/3*p**4 - 2/3*p. What is m in k(m) = 0?
1
Let t(k) be the second derivative of 1/12*k**3 - 1/40*k**5 + 0 - 1/4*k**2 + 3*k + 1/24*k**4. Find v, given that t(v) = 0.
-1, 1
Let w = -129 - -135. Let n(u) be the third derivative of -3*u**2 + 2/15*u**3 + 0*u**5 + 0 + 1/300*u**w - 1/20*u**4 + 0*u. Factor n(k).
2*(k - 1)**2*(k + 2)/5
Let q(w) be the second derivative of 2*w**6/15 + w**5/3 + w**4/9 - 2*w**3/9 - 24*w. Determine t so that q(t) = 0.
-1, 0, 1/3
Factor 6/17*f**3 + 6/17*f**4 + 0*f + 2/17*f**2 + 0 + 2/17*f**5.
2*f**2*(f + 1)**3/17
Let l be 60/(-40) + ((-16)/(-10) - 0). Let d(g) be the second derivative of 1/3*g**3 + 1/6*g**4 + 0 - g**2 - l*g**5 + 3*g. Factor d(j).
-2*(j - 1)**2*(j + 1)
Let w(m) be the second derivative of m**7/30 + 3*m**6/50 - 3*m**5/25 - m**4/15 + 27*m. Let w(g) = 0. What is g?
-2, -2/7, 0, 1
Let j(y) = -y + 4. Let s be j(0). Suppose n**3 + n**4 - 4*n**3 + n**2 + n**s = 0. Calculate n.
0, 1/2, 1
Let j(k) be the first derivative of -1/9*k**3 - 4 + 0*k**4 + 1/15*k**5 + 0*k**2 + 0*k. Factor j(y).
y**2*(y - 1)*(y + 1)/3
Let x = -347/3 + 117. Factor x + 2/3*w**3 - 4/3*w**2 - 2/3*w.
2*(w - 2)*(w - 1)*(w + 1)/3
Let u = -588 + 2355/4. Factor 0*h + 9/4*h**3 + 0 + 9/4*h**4 + 3/4*h**2 + u*h**5.
3*h**2*(h + 1)**3/4
Let c(v) be the first derivative of 0*v - v**2 - 3/2*v**4 + 2 - 2/5*v**5 - 2*v**3. Factor c(k).
-2*k*(k + 1)**3
Let p = -27 - -29. Factor -2/5*m**p + 0*m + 0.
-2*m**2/5
Let f(z) be the first derivative of 3 + 6*z**2 - 4/3*z**3 - 8*z. Suppose f(r) = 0. What is r?
1, 2
Let t = 2725076/149 - 18289. Let o = t - -4991/745. Factor 44/5*s**2 + 56/5*s**3 + 2/5 + 8/5*s**5 + o*s**4 + 16/5*s.
2*(s + 1)**4*(4*s + 1)/5
Suppose -20 = 5*a + 5*i, -5*a + 0 = -i - 4. Determine t, given that -2/9*t**3 - 32/9*t**5 + 0*t + a*t**2 + 16/9*t**4 + 0 = 0.
0, 1/4
What is y in -507/2 - 3/2*y**2 - 39*y = 0?
-13
Let f(s) = s + 4. Let y be f(-4). Let q be y + -3 + (-22)/(-6). Factor q*w**3 + 0*w + 0 + 2/3*w**2.
2*w**2*(w + 1)/3
Let f(z) be the third derivative of -z**8/50400 + z**7/6300 - z**5/15 + 2*z**2. Let b(g) be the third derivative of f(g). Factor b(k).
-2*k*(k - 2)/5
Let x be ((-2)/(-24))/((-7)/(-3)). Let a(c) be the third derivative of -1/21*c**3 + 0 + 2*c**2 + 0*c - 1/105*c**5 + x*c**4. Factor a(o).
-2*(o - 1)*(2*o - 1)/7
Let x be (-12)/32*(-4)/6. Determine m so that -x*m**2 + 1/2*m + 0 = 0.
0, 2
Factor 3/2*u + 9/4 + 1/4*u**2.
(u + 3)**2/4
Let g(j) be the first derivative of j**4/4 + 3. Factor g(p).
p**3
Let g be 0 - (-2)/(-6)*-2. Let l(d) = d**3 - 7*d**2 + 4. Let t be l(7). Find w, given that -4/3*w**2 + 0*w**3 + 0*w + g + 2/3*w**t = 0.
-1, 1
Let q(a) be the third derivative of 1/20*a**6 + 0*a + 1/2*a**3 + 0*a**5 + 5*a**2 + 0 - 1/70*a**7 - 1/4*a**4. Let q(j) = 0. What is j?
-1, 1
Let q(c) = 3*c**2 - 6*c**2 + 3 - 10*c - 2*c. Let m(a) = -a**3 + 8*a**2 + 35*a - 10. Let u(v) = -3*m(v) - 8*q(v). Factor u(b).
3*(b - 1)**2*(b + 2)
Let n be 24/10 + (-34)/85. Let p(w) be the second derivative of -1/30*w**5 + 0*w**3 + n*w + 1/12*w**4 + 0 - 1/6*w**2. Factor p(s).
-(s - 1)**2*(2*s + 1)/3
Let t = 5 - 8. Let a be -5*(t + (-26)/(-10)). Factor 0 + 10/7*c**a - 4/7*c.
2*c*(5*c - 2)/7
Let o(j) = -j**3 + 7*j**2 - 6*j. Let p be o(6). Suppose -4*y + 21 - 1 = p. Factor 0 + 0*n + 1/2*n**4 - 1/2*n**y + 1/2*n**3 - 1/2*n**2.
-n**2*(n - 1)**2*(n + 1)/2
Let c(n) = n**2. Let t(x) = -5*x**2 + 3*x. Let h(u) = -2*c(u) - t(u). Factor h(i).
3*i*(i - 1)
Let p = 2/49 - -92/147. Factor p + 2/3*z**2 + 4/3*z.
2*(z + 1)**2/3
Let t**3 - 35*t + 0*t**3 - 10*t**2 - 15*t**2 - 6*t**3 - 15 = 0. What is t?
-3, -1
Let s be (-3 + 5)/2*3. Factor s*t - 3 + 6 + 3 + 2*t**2 + 5*t.
2*(t + 1)*(t + 3)
Let s(d) be the third derivative of d**6/24 - d**5/12 - 5*d**4/3 + 10*d**3 + 4*d**2. Solve s(u) = 0 for u.
-3, 2
Factor -16/3*p - 2 - 10/3*p**2.
-2*(p + 1)*(5*p + 3)/3
Suppose -12 = 4*z + j, 5*z + 24 = -0*z + j. Let n be z/10 + (-36)/(-40). Let n*r**2 + 0 + 0*r + 1/2*r**4 - r**3 = 0. What is r?
0, 1
Let r(h) be the first derivative of h**3/3 - 4*h**2 + 16*h + 5. Determine p so that r(p) = 0.
4
Let s(i) = -14*i**2 - i. Let m(k) = -15*k**2. Let z(a) = 2*m(a) - 3*s(a). Determine u, given that z(u) = 0.
-1/4, 0
Let t = 998/279 + 20/31. Let s = t - 32/9. Find o such that 4/3*o + s*o**3 + 2*o**2 + 0 = 0.
-2, -1, 0
Suppose 5*f - 71 = -y, -5*f = -5*y - 0*y - 95. Let s be -1 - f/36*-3. Solve 1/4*c**4 + 0 + s*c + 3/4*c**2 + 3/4*c**3 = 0.
-1, 0
Let g(n) be the second derivative of 5*n**4/12 + 5*n**3/6 - 5*n**2 - 5*n. Factor g(o).
5*(o - 1)*(o + 2)
Let g(q) be the first derivative of -2*q**3/15 + 2*q**2/5 - 2*q/5 + 7. Suppose g(z) = 0. Calculate z.
1
Let u = -1517/7 - -217. Determine r so that u*r + 0 - 2/7*r**4 - 2/7*r**3 + 2/7*r**2 = 0.
-1, 0, 1
Factor 0 - 4/9*c**2 + 2/9*c**3 + 2/9*c.
2*c*(c - 1)**2/9
Let y(n) be the first derivative of 64/3*n**3 + 3 + 4/5*n**5 - 8*n**4 + 0*n**2 + 0*n. Factor y(q).
4*q**2*(q - 4)**2
Let c(b) be the third derivative of -b**8/2184 + b**6/780 - b**2. Factor c(q).
-2*q**3*(q - 1)*(q + 1)/13
Solve 401*r**2 - 201*r**2 - 204*r**2 + 16*r = 0 for r.
0, 4
Let u(g) be the second derivative of g**5/20 + g**4/4 + g**3/2 + g**2/2 + g - 5. Let u(t) = 0. What is t?
-1
Let t = 25 - 24. Suppose t + 2 = h. What is o in -2/7*o + 0*o**2 + 0 + 2/7*o**h = 0?
-1, 0, 1
Suppose -2 = 3*d + 5*c + 17, -d - 2*c - 8 = 0. Suppose -3*z = 5*l + 25, -2*z - 3*l - 15 = d*z. Let -2/5*t**2 + z*t + 0 = 0. What is t?
0
Let x(a) = -a - 9. Let b be x(-7). Let i be (3 - (-33)/(-6))*b. Let 4*t**5 + 4*t**5 - 6*t**i = 0. Calculate t.
0
Let d(t) be the first derivative of -5 + 1/2*t**4 - 4/3*t**3 + t**2 + 0*t. Factor d(g).
2*g*(g - 1)**2
Let k(r) = -r**3 + 2*r + 2. Let v be k(-2). Factor 2*a**3 + a**4 - 4*a - 6*a**3 + v*a - a**2 + 2*a**3.
a*(a - 2)*(a - 1)*(a + 1)
Let i(c) be the first derivative of 1/3*c**3 + 0*c - 1 + 1/2*c**2 - 1/2*c**4. Factor i(o).
-o*(o - 1)*(2*o + 1)
Let l(f) = -44*f**4 - 80*f**3 + 116*f**2 + 56*f. Let g(z) = 9*z**4 + 16*z**3 - 23*z**2 - 11*z. Let u(j) = -16*g(j) - 3*l(j). Solve u(b) = 0.
-2, -1/3, 0, 1
Let c(k) be the first derivative of -k**6/45 - 4*k**5/75 + 4*k**3/45 + k**2/15 - 1. Determine m, given that c(m) = 0.
-1, 0, 1
Let -16/9*m**3 + 2*m + 4/3*m**4 + 0 - 4/3*m**2 - 2/9*m**5 = 0. What is m?
-1, 0, 1, 3
Let p(h) be the first derivative of 1/16*h**4 + 0*h + 10 - 1/8*h**2 + 0*h**3. Factor p(l).
l*(l - 1)*(l + 1)/4
Let a(z) be the first derivative of z**5/10 + 3*z**4/8 + z**3/2 + z**2/2 + 4. Let i(g) be the second derivative of a(g). Factor i(u).
3*(u + 1)*(2*u + 1)
Let s(j) = j**2 - 10*j - 7. Let k be s(11). Let y(c) be the first derivative of c + 0*c**3 + 2 + c**2 - 1/5*c**5 - 1/2*c**k. Factor y(i).
-(i - 1)*(i + 1)**3
Let q(r) = -7*r**2 - 8*r - 7. Let c(w) = -15*w**2 - 16*w - 15. Let h(f) = 3*c(f) - 7*q(f). Factor h(s).
4*(s + 1)**2
Let p(g) be the first derivative of -g**4/30 - 14*g**3/45 - 8*g**2/15 + 32*g/15 - 2. Factor p(i).
-2*(i - 1)*(i + 4)**2/15
Suppose 3*r = 3*k - 3, r + 0*r = 0. Let m(y) = -y**2 - 3*y + 3. Let g be m(-3). Suppose 1 + 2*d**4 - d**g - d**4 - k = 0. What is d?
0, 1
Let n be 6*3/(3 + 3). Let h(a) be the first derivative of 0*a**2 - 2/3*a**n - 3 + 0*a. Factor h(s).
-2*s**2
Suppose 5*f = 20 - 5. Find j such that 6*j**2 + 4*j**3 + 9*j**4 - j**f - 12*j**2 = 0.
-1, 0, 2/3
Factor 3/7*i**2 + 0*i - 12/7.
3*(i - 2)*(i + 2)/7
Let n(r) be the first derivative of r**7/560 - r**6/360 - r**5/80 + r**4/24 + r**3/3 + 2. Let g(l) be the third derivative of n(l). Factor g(t).
(t - 1)*(t + 1)*(3*t - 2)/2
Let l = -44 - -44. Let q(d) be the second derivative of -1/45*d**6 + 0*d**3 - 1/84*d**7 + 0*d**2 - 1/120*d**5 + l + 2*d + 0*d**4. What is p in q(p) = 0?
-1, -1/3, 0
Let i be 14/(-168) + 38/8. Factor -4/3*r**3 - i*r + 14/3*r**2 + 4/3.
-2*(r - 2)*(r - 1)*(2*r - 1)/3
Let b be 3 - (2 + (1 - 3)). Suppose -b*u - 2*r = 8, 2*r = -2*u + 3