 -2*d**5/15 + d**4/2 - 2*d**3/9 - d**2 + 4*d/3 - 14. Find u, given that f(u) = 0.
-1, 1, 2
Let r(q) be the second derivative of 5*q + 1/15*q**6 + 1/2*q**4 + 0*q**3 + 2/5*q**5 + 0 + 0*q**2. Factor r(b).
2*b**2*(b + 1)*(b + 3)
Let g = 0 - 0. Let l(r) be the third derivative of -2*r**2 + 2/9*r**3 + 0*r - 1/6*r**4 + 1/36*r**5 + g. Find j, given that l(j) = 0.
2/5, 2
Let g(j) = -28*j**4 - 312*j**3 - 1067*j**2 - 417*j + 366. Let y(z) = -57*z**4 - 623*z**3 - 2133*z**2 - 833*z + 734. Let r(u) = -7*g(u) + 3*y(u). Factor r(h).
5*(h + 1)*(h + 6)**2*(5*h - 2)
Let f(b) be the first derivative of 3*b**5/50 + b**4/4 + b**3/10 - 3*b**2/5 + 7*b - 5. Let u(w) be the first derivative of f(w). Let u(h) = 0. What is h?
-2, -1, 1/2
Let i(w) be the third derivative of w**6/80 + 7*w**5/60 + w**4/6 - 2*w**2 - 37. Factor i(a).
a*(a + 4)*(3*a + 2)/2
Let o(k) be the second derivative of k**5/130 + 7*k**4/78 + 5*k**3/13 + 9*k**2/13 + 9*k. Factor o(d).
2*(d + 1)*(d + 3)**2/13
Let y(j) be the second derivative of j**4/6 - j**3/2 - j**2 - j. Let b be y(2). Solve b*l + 0 + 0*l**2 - 1/2*l**4 - l**3 = 0 for l.
-2, 0
Let t(o) = o**3 + o**2 - 4*o - 4. Let s be t(-5). Let m be (-192)/s + 2/(-7). Suppose 10/7*a**3 - 10/7*a - 4/7*a**m + 4/7 = 0. Calculate a.
-1, 2/5, 1
Let w(c) be the first derivative of -c**6/6 + 2*c**5/5 - 2*c**3/3 + c**2/2 + 1. Let w(z) = 0. Calculate z.
-1, 0, 1
Let p(n) be the second derivative of n**5/150 + n**4/60 - 2*n**3/15 - n**2 + 2*n. Let k(r) be the first derivative of p(r). What is m in k(m) = 0?
-2, 1
Let p = 43561/90 - 484. Let q(l) be the third derivative of 0 + 0*l + p*l**5 + 2*l**2 - 2/9*l**3 + 1/36*l**4. Find b, given that q(b) = 0.
-2, 1
Let n(w) be the second derivative of -w**6/90 + w**4/36 - 3*w + 4. Factor n(p).
-p**2*(p - 1)*(p + 1)/3
Let j(z) be the second derivative of -z**7/42 + z**6/6 - 2*z**5/5 + z**4/3 - 22*z. Let j(d) = 0. What is d?
0, 1, 2
Let o(g) be the first derivative of 0*g**2 + 1/27*g**6 - 3 + 4/45*g**5 + 1/18*g**4 + 0*g**3 + 0*g. Factor o(r).
2*r**3*(r + 1)**2/9
Solve -3/7 - 5/7*i + 2/7*i**2 = 0 for i.
-1/2, 3
Let l be 16/5*(-12)/(-24). What is p in -138/5*p**3 - 10*p**5 + 28*p**4 + 56/5*p**2 - l*p + 0 = 0?
0, 2/5, 1
Suppose 1 = c - a - 5, -3*a = 2*c + 8. Factor 4/7*q**3 - 2/7 - 6/7*q + 6/7*q**4 + 2/7*q**5 - 4/7*q**c.
2*(q - 1)*(q + 1)**4/7
Let g = -10 + 16. Let a = g + -3. Factor -m**a + 2*m**4 + 4*m**4 - 5*m**4.
m**3*(m - 1)
Let h = 216 + -213. Solve 0 + 0*i + 3/5*i**2 + 0*i**h - 3/5*i**4 = 0 for i.
-1, 0, 1
Let b(d) be the first derivative of 4*d**5/5 - 4*d**3/3 + 12. What is l in b(l) = 0?
-1, 0, 1
Find f, given that 8/3*f**3 - 3 - 22/3*f**2 - 1/3*f**4 + 8*f = 0.
1, 3
Let a = 0 + 2. Let o(t) = t - 1. Let j(q) = -q**4 - 4*q**3 - 6*q**2 - 2*q - 3. Let r(v) = a*j(v) - 4*o(v). Suppose r(h) = 0. What is h?
-1
Suppose -89 = -4*o - 77. Solve k**2 - 1/2*k**5 + 1/2 + 3/2*k - k**o - 3/2*k**4 = 0.
-1, 1
Let m(q) be the first derivative of 3 + 0*q**2 + 2/5*q - 2/15*q**3. Determine p so that m(p) = 0.
-1, 1
Let u(o) = 4*o**3 + 3*o**2 - 5*o + 4. Let b(l) be the first derivative of 2*l**4 + 2*l**3 - 11*l**2/2 + 9*l - 1. Let g(v) = -4*b(v) + 9*u(v). Factor g(f).
f*(f + 1)*(4*f - 1)
Let p(w) be the first derivative of 2 + 1/6*w**4 - 2*w + 2/5*w**2 + 7/15*w**3. Let r(n) be the first derivative of p(n). Find g, given that r(g) = 0.
-1, -2/5
Let p be -4 - 7*(0 + -1). Let 19*r**4 + 5*r - 32*r**p + 26*r**4 + r + 4*r**2 - 6*r**5 - 17*r**4 = 0. Calculate r.
-1/3, 0, 1, 3
Let u be 1 - 1 - (-3)/72*2. Let h(a) be the third derivative of 3/80*a**6 + 0*a + 7/48*a**4 - 1/8*a**5 + 0 - u*a**3 + 3*a**2. Factor h(k).
(k - 1)*(3*k - 1)**2/2
Let d(m) = -m**2 - 2*m - 3. Let o be d(-6). Let c = o - -27. Factor c - 2/5*f - 2/5*f**5 + 0*f**2 + 4/5*f**3 + 0*f**4.
-2*f*(f - 1)**2*(f + 1)**2/5
Let l(v) = -5*v**3 + 3*v**3 - 13*v - 7 + 2*v**3 + v**3 - 9*v**2. Let g(m) = -3*m**3 + 18*m**2 + 27*m + 15. Let w(p) = -4*g(p) - 9*l(p). Factor w(s).
3*(s + 1)**3
Suppose q + 2*q = 24. Let n be q/(-44) + 2/11. Find l, given that -1/2*l**2 + n*l + 0 - 1/4*l**4 + 3/4*l**3 = 0.
0, 1, 2
Let z(p) = 13*p**3 + 7*p**2 - 13*p - 1. Let j(h) = -3*h**2 - 1 - 16*h**3 + 43*h**3 - 27*h + 3*h**2 + 15*h**2. Let l(x) = 3*j(x) - 7*z(x). Solve l(b) = 0.
-1, -2/5, 1
Let k = 3 + -1. Suppose 4*m = 6 + k. Let -z + 2*z + 4 - 7*z + 2*z**m = 0. Calculate z.
1, 2
Let r(p) = p - 4. Let h be r(6). Let -4*c**4 + 2*c**4 + 2*c**h + c**2 - c**2 = 0. Calculate c.
-1, 0, 1
Let i be -12*(-1)/2 - 3. Let d(p) be the third derivative of 0*p**4 + 0*p**3 + i*p**2 + 1/90*p**5 + 1/315*p**7 + 0*p + 1/90*p**6 + 0. Factor d(b).
2*b**2*(b + 1)**2/3
Let h(g) = -77*g**5 + g**4 + 187*g**3 + 107*g**2 - 24*g - 11. Let n(a) = -39*a**5 + 93*a**3 + 54*a**2 - 12*a - 6. Let y(t) = -6*h(t) + 11*n(t). Solve y(w) = 0.
-1, 0, 2/11, 2
Let h(m) = 2*m + 51. Let l be h(-24). What is x in -4/9*x + 14/9*x**2 + 2*x**l + 0 = 0?
-1, 0, 2/9
Suppose 5*p - 4 = p. Let r be 1 + p + -2 - -5. Factor -2*k**2 + 2*k - k**r - 6*k + 5*k + 2*k**4.
-k*(k - 1)**3*(k + 1)
Let a(d) be the second derivative of -d**5/40 - 5*d**4/24 - 2*d**3/3 - d**2 + d. Factor a(m).
-(m + 1)*(m + 2)**2/2
Suppose 0 = -2*w - 3*r - r, 0 = -5*r. Let o(g) be the first derivative of 1 - g**2 - 2*g**3 + w*g - 3/2*g**4 - 2/5*g**5. Factor o(q).
-2*q*(q + 1)**3
Let 2/3*x + 0 - 2*x**5 + 8/3*x**4 - 8/3*x**2 + 4/3*x**3 = 0. Calculate x.
-1, 0, 1/3, 1
Let h(x) be the third derivative of -x**6/120 - x**5/20 + x**3/3 - 3*x**2. Let b(g) be the first derivative of h(g). Determine f so that b(f) = 0.
-2, 0
Let -4/5*c**4 + 0*c - 2/5*c**3 + 0 + 0*c**2 - 2/5*c**5 = 0. What is c?
-1, 0
Let k(m) = -16*m**4 - 36*m**3 - 33*m**2 - 13*m + 9. Let z(h) = 4*h**4 + 9*h**3 + 8*h**2 + 3*h - 2. Let c(n) = 2*k(n) + 9*z(n). Factor c(w).
w*(w + 1)**2*(4*w + 1)
Let b(w) = -22*w - 13*w**2 - 10*w**2 - w. Let j = -31 - 3. Let o(v) = 4*v**2 + 4*v. Let t(y) = j*o(y) - 6*b(y). Solve t(r) = 0.
-1, 0
Let d(y) be the third derivative of -y**8/448 - y**7/280 + 3*y**6/160 + y**5/16 + y**4/16 - 11*y**2. Factor d(q).
-3*q*(q - 2)*(q + 1)**3/4
Let l(v) be the third derivative of v**7/105 + v**6/30 - v**4/6 - v**3/3 - 2*v**2. Factor l(g).
2*(g - 1)*(g + 1)**3
Let w = 14 - 9. Factor 0 + 3*z**3 + w*z - 14*z - 6.
3*(z - 2)*(z + 1)**2
Let q(l) be the third derivative of -l**7/3780 - l**4/12 + l**2. Let c(z) be the second derivative of q(z). Factor c(m).
-2*m**2/3
Let w = 25023/10 + -2499. Let j = w + 6/5. What is i in 0*i + 9/2*i**3 - j*i**5 + 3*i**2 - 3*i**4 + 0 = 0?
-1, -2/3, 0, 1
Let a = -123 + 1108/9. Let z(m) be the first derivative of a*m**2 + 4/27*m**3 - 2/9*m - 2. Factor z(p).
2*(p + 1)*(2*p - 1)/9
Let b = -39/46 - -100/23. Factor -r + 0 + b*r**2.
r*(7*r - 2)/2
Determine n so that -16/7*n - 2/7*n**3 + 32/7 - 2*n**2 = 0.
-4, 1
Let u be 1386/3540 + (-4)/10. Let y = u + 245/1062. Factor y*l**2 + 4/9 + 2/3*l.
2*(l + 1)*(l + 2)/9
Let k(r) be the third derivative of 0*r**3 + 0*r + 3*r**2 + 0 - 1/96*r**4 - 1/240*r**5. Let k(i) = 0. Calculate i.
-1, 0
Let d be (6 + 184/(-30))/((-2)/3). Factor 0 + 0*u + d*u**3 - 1/5*u**4 + 1/5*u**2 - 1/5*u**5.
-u**2*(u - 1)*(u + 1)**2/5
Let l be (9 - 3) + 6/(-2). Factor 2 - 2*k - 2*k**3 - 2*k**2 + 5*k**3 - k**l.
2*(k - 1)**2*(k + 1)
Let b = 17/6 - 13/6. Determine z, given that 0 + b*z - 2/3*z**3 + 0*z**2 = 0.
-1, 0, 1
Let v(t) be the third derivative of 0*t + 0*t**3 + t**2 + 1/300*t**6 + 0*t**4 + 0 + 0*t**5 + 1/525*t**7. Factor v(w).
2*w**3*(w + 1)/5
Let v = -45 - -83. Let s = 191/5 - v. Factor s*p**2 - 2/5*p + 0.
p*(p - 2)/5
Suppose -4*x + q = -8*x, -x - q = 0. Factor x + 2/13*z + 2/13*z**2 - 4/13*z**3.
-2*z*(z - 1)*(2*z + 1)/13
Let b(w) = -w**3 - 8*w**2 - w - 6. Let k be b(-8). Suppose 0 = 6*v - k*v - 12. Determine t so that 1/2*t**v + t - 5/4*t**2 - 1/4 = 0.
1/2, 1
Let j be 148/180 - (-4)/(-18). Factor 4/5*c**2 - j*c**3 - 2/5 + c.
-(c - 2)*(c + 1)*(3*c - 1)/5
Let g(a) be the first derivative of -a**5/45 + a**3/9 + a**2/9 - 5. Suppose g(n) = 0. Calculate n.
-1, 0, 2
Let s(b) be the third derivative of 0 + 1/5*b**5 + 0*b + 1/3*b**3 + 1/30*b**6 - 3*b**2 + 3/8*b**4. Factor s(m).
(m + 2)*(2*m + 1)**2
Let u be 1*12/18*1. Determine o so that u + 1/6*o**2 - 2/3*o = 0.
2
Let f(j) = -12*j**4 + 7*j**3 + 17*j**2 - 7*j - 11. Let a(q) = q**3 - q**2 - q - 1. Let o = 16 + -15. Let h(m) = o*f(m) - 3*a(m). Let h(