ose 2*l**5 + 1390*l**2 - 60*l**4 + 1235 + 3*l**5 + 105*l + 155*l**4 - 3440 + 610*l**3 = 0. What is l?
-7, -3, 1
Let q(m) be the first derivative of -9*m**5 + 45*m**4/4 + 110*m**3/3 - 10*m**2 - 40*m - 463. Suppose q(x) = 0. Calculate x.
-1, -2/3, 2/3, 2
Factor -402/7*b - 200/7 - 2/7*b**3 - 204/7*b**2.
-2*(b + 1)**2*(b + 100)/7
Let m(j) be the second derivative of 0*j**3 + 1/2*j**2 - 5*j + 1/6*j**4 + 1/15*j**5 + 0. Let a(g) be the first derivative of m(g). Let a(z) = 0. What is z?
-1, 0
Let k(f) = -f**2 - 10*f + 22. Let s be k(-11). Suppose 4*g**4 + 2*g**3 + 16*g**2 - 2*g**5 - 31*g**2 + s*g**2 = 0. What is g?
-1, 0, 1, 2
Let k(c) be the third derivative of -c**5/120 - c**4/12 + 5*c**3/12 + 72*c**2. Let k(f) = 0. Calculate f.
-5, 1
Let c = -5775 + 17327/3. Solve 0 + 2*x**4 + 2/3*x**2 - c*x**5 + 0*x - 2*x**3 = 0 for x.
0, 1
Let o(t) = t**2 + 10*t - 3. Let g be o(-15). Solve 3*z**4 - z**2 + 129*z**3 + 4*z**2 - g*z**3 - 63*z**3 = 0.
0, 1
Let r be (2 + -20 - -14)*(-1)/6. Factor 2/3 - 2/3*i**3 - r*i**2 + 2/3*i.
-2*(i - 1)*(i + 1)**2/3
Find u such that -24*u**2 + 22*u**2 - 77 - 23 - 102*u = 0.
-50, -1
Let f = 13 - 13. Suppose f = -o - 4 + 13. Find z such that 12*z**3 + 9*z - 3 - o*z**2 - z**3 - 8*z**3 = 0.
1
Let o(a) be the first derivative of 12 + 0*a**2 + 1/10*a**4 + 2/25*a**5 + 0*a + 0*a**3. Solve o(p) = 0.
-1, 0
Suppose -2*f + 0*f = 24. Let x be (f/5 + 2)/((-6)/10). Factor 0*h - 2/3*h**2 - x*h**3 + 0.
-2*h**2*(h + 1)/3
Factor 2/7*h**2 - 1/7*h**5 - 1/7 + 2/7*h**3 - 1/7*h - 1/7*h**4.
-(h - 1)**2*(h + 1)**3/7
Factor -581*i**2 + 1045*i - 576*i**3 - 2773*i - 7 + 2309*i**2 + 80*i**4 - 4*i**5 + 7.
-4*i*(i - 6)**3*(i - 2)
Let h(z) be the third derivative of -5*z**8/672 - 2*z**7/21 + z**6/24 + 31*z**5/6 + 1075*z**4/48 + 125*z**3/3 - 120*z**2 - 3*z. Suppose h(o) = 0. What is o?
-5, -1, 4
Let m(y) = 2*y**3 - y**2 + 2. Let r(a) = -133*a**3 - 4346*a**2 - 50460*a - 195120. Let s(d) = 12*m(d) + 3*r(d). Factor s(k).
-3*(5*k + 58)**3
Let w(b) be the first derivative of b**4 + 816*b**3 + 249696*b**2 + 33958656*b + 393. Find t such that w(t) = 0.
-204
Let l(p) = 5*p**2 - 47*p + 4. Let h(k) = -k**2 + 2*k - 1. Let j(o) = -4*h(o) - l(o). Determine v, given that j(v) = 0.
0, 39
Let v be ((-60)/(-5))/((-2)/(-2)). Let v*l**4 - 4*l**3 + 2*l**3 - 5*l**4 = 0. Calculate l.
0, 2/7
Let c(d) = 7*d**3 - 204*d**2 + 2496*d + 2704. Let l(q) = -64*q**3 + 1836*q**2 - 22464*q - 24336. Let w(b) = 28*c(b) + 3*l(b). Suppose w(u) = 0. Calculate u.
-1, 26
Let y(f) = 1375*f - 15123. Let r be y(11). Determine a, given that -22/21*a - 26/21*a**4 + 4/21 + 2/3*a**3 + 8/21*a**5 + 22/21*a**r = 0.
-1, 1/4, 1, 2
Let 1/6*p**2 - 5/6*p + 1 = 0. Calculate p.
2, 3
Let z(f) = -1 + 0 + 4 - 4. Let o(u) = u**2 - 4*u + 7. Let h(x) = -5*o(x) - 20*z(x). Factor h(a).
-5*(a - 3)*(a - 1)
Let m(y) be the first derivative of y**6/18 - y**5/15 - 3*y**4/2 + 50*y**3/9 - 47*y**2/6 + 5*y + 920. Solve m(p) = 0.
-5, 1, 3
What is u in -3*u**2 + 69/8*u**3 + 105/8*u**4 + 0*u + 3/2*u**5 + 0 = 0?
-8, -1, 0, 1/4
What is r in -2/5*r**2 - 12/5 + 2*r = 0?
2, 3
Let d(x) be the first derivative of -9*x**4/4 + 16*x**3/3 + 31*x**2/2 + 6*x + 77. What is b in d(b) = 0?
-1, -2/9, 3
Let j = -3217/4 - -3219/4. Determine n, given that -1/4*n**5 - 1/2*n**4 - 7/4*n + 2*n**3 - j*n**2 + 1 = 0.
-4, -1, 1
Suppose v + 3*y - 3 = 0, -3*y = 5*v + 9 - 0. Let b(x) = -x**2 - 4*x - 3. Let j(p) = p + 1. Let r(c) = v*b(c) - 6*j(c). Solve r(w) = 0.
-1
Suppose -26*l + 22*l = 12. Let k be 4 + 8/(-28) + l. Factor -p - 2/7 - k*p**2.
-(p + 1)*(5*p + 2)/7
Let j be (5 + -16)*1 - -5. Let v be (j/(-22))/(24/80). Factor -v*x - 2/11*x**4 + 2/11*x**3 + 4/11 + 6/11*x**2.
-2*(x - 1)**3*(x + 2)/11
Let y(a) = -a**2 - 7*a. Let n(u) = 5*u**2 - 13*u - 3*u**2 + 33*u. Let z(i) = -4*n(i) - 11*y(i). Factor z(g).
3*g*(g - 1)
Let d(m) be the third derivative of -m**5/15 - 7*m**4/6 - m**2 - 43*m. Find r such that d(r) = 0.
-7, 0
Let c(m) be the first derivative of -m**6/4 - 7*m**5/5 - 61*m**4/24 - 14*m**3/9 - m**2/3 - 549. Factor c(o).
-o*(o + 2)**2*(3*o + 1)**2/6
Let k(p) be the third derivative of 25*p**8/504 - 2*p**7/9 - 17*p**6/180 + p**5/15 - p**2 + 14. Determine b so that k(b) = 0.
-2/5, 0, 1/5, 3
Let w(p) = 4*p**2 + 43*p - 10. Let c(l) = -10*l**2 - 108*l + 24. Let j(k) = 5*c(k) + 12*w(k). Solve j(g) = 0 for g.
-12, 0
Let s be 3 - 2 - ((0 - 0) + 1). Let w(d) be the third derivative of 0*d**3 - 5/8*d**4 + 0*d - 4*d**2 + 1/12*d**5 + s. Let w(k) = 0. Calculate k.
0, 3
Let v(a) be the first derivative of -1/3*a**3 - 1/2*a**2 + 0*a - 4. Factor v(m).
-m*(m + 1)
Factor 3/4*f + 9/2*f**2 - 21/4*f**3 + 0.
-3*f*(f - 1)*(7*f + 1)/4
Let n(p) be the second derivative of p**6/120 + p**5/10 + p**4/2 + 4*p**3/3 - 4*p. Let m(y) be the second derivative of n(y). Factor m(q).
3*(q + 2)**2
Determine p so that -81/7 + 20/7*p**3 - 118/7*p**2 + 180/7*p - 1/7*p**4 = 0.
1, 9
Let s(b) be the first derivative of b**6/120 + b**5/10 + 11*b**4/24 + b**3 - 39*b**2/2 - 22. Let j(f) be the second derivative of s(f). Factor j(d).
(d + 1)*(d + 2)*(d + 3)
Let k = 26956/5775 + -2/1925. What is d in -10/3*d**2 + 6*d**3 - 4/3 - 6*d + k*d**4 = 0?
-1, -2/7, 1
Let f(x) be the first derivative of 5*x**6/6 - x**5 - 105*x**4/4 + 5*x**3/3 + 50*x**2 + 154. Solve f(a) = 0 for a.
-4, -1, 0, 1, 5
Let c(f) be the first derivative of 0*f**5 + 1/6*f**6 - 14 + 0*f + 0*f**3 - 1/2*f**4 + 1/2*f**2. Suppose c(b) = 0. What is b?
-1, 0, 1
Let g(f) be the first derivative of 1/33*f**4 - 1/11*f**3 - 2*f + 1/11*f**2 - 5. Let r(v) be the first derivative of g(v). Factor r(t).
2*(t - 1)*(2*t - 1)/11
Factor 30 + 30*c - 3*c**3 - 13*c**2 - 9*c**2 + 18 + c**2.
-3*(c - 2)*(c + 1)*(c + 8)
Let r(k) be the third derivative of 3*k**8/224 + k**7/35 - k**6/10 - 9*k**5/20 - 11*k**4/16 - k**3/2 + 4*k**2 - 23. Let r(y) = 0. What is y?
-1, -1/3, 2
Suppose -y - y + 18 = 5*g, y - 10 = -3*g. Suppose 3*a + 0*n = -3*n - 9, -g*a - 21 = 5*n. Solve 0 + 2/3*w - 1/3*w**a = 0 for w.
0, 2
Let l(k) be the first derivative of k**7/1680 - k**6/120 + 3*k**5/80 + 7*k**3/3 - 2. Let a(c) be the third derivative of l(c). What is v in a(v) = 0?
0, 3
Let w be (23/276)/((-2)/(-8)). Let x(k) be the second derivative of 1/36*k**4 + 5*k + 0 + w*k**2 - 1/6*k**3. What is n in x(n) = 0?
1, 2
Let d(a) be the third derivative of a**7/70 + 13*a**6/100 - a**5/4 - 3*a**4/20 + 18*a**2 - 17*a. Determine b so that d(b) = 0.
-6, -1/5, 0, 1
Factor 1/12*f**5 - 1/3*f**4 + 7/3*f - 13/4*f**3 - 29/6*f**2 + 6.
(f - 9)*(f - 1)*(f + 2)**3/12
Let a(u) be the second derivative of -u**7/1960 + u**6/840 + 3*u**3/2 - 7*u. Let b(f) be the second derivative of a(f). Let b(q) = 0. What is q?
0, 1
Let n(w) be the second derivative of -21*w - 1/33*w**3 + 3/11*w**2 - 1/22*w**4 + 1/110*w**5 + 0. Find p, given that n(p) = 0.
-1, 1, 3
Let o(f) = f**2 - 7*f + 1. Let c be o(7). Let g be (c/(-2))/(9/(-54)). Suppose -3*u**2 - 2*u**g + 3*u - u - 1 + u**3 - 5*u = 0. Calculate u.
-1
Factor -2/7*r**4 - 88/7*r**3 - 1052/7*r**2 - 126 - 264*r.
-2*(r + 1)**2*(r + 21)**2/7
Let t be ((-15)/25)/(3/(-15)). Suppose -4*p + 16 = -2*r, t*p = 4*r + 3 + 9. Let -1/4*i + 1/4*i**3 + r + 0*i**2 = 0. Calculate i.
-1, 0, 1
Suppose 4*x - 28 = 2*x. Suppose 0 = -15*v - 5*v + 80. Factor t**v - 17*t**2 + t**3 - t - 2 + x*t**2 - 4*t.
(t - 2)*(t + 1)**3
Suppose w - 19 = -2*d + 2*w, -4*d - w = -35. Factor 28*f**5 + 5*f**3 - 2*f**3 - 10*f**2 + 2*f**2 + d*f**3 + 48*f**4.
4*f**2*(f + 1)**2*(7*f - 2)
Suppose 0 = -4*k - 2*h + 4, -12*k + 8*k = -3*h - 24. Factor 1/8*p**2 + 1/8*p**k + 0 + 0*p.
p**2*(p + 1)/8
Let n = -76 + 134. Let d = n - 231/4. Let 0 - d*i**3 + i**2 - i = 0. What is i?
0, 2
Factor 5*q**4 - 148*q**3 + q**4 - 845*q - 975*q**2 - 19*q**4 + 8*q**4 + 13*q**3.
-5*q*(q + 1)*(q + 13)**2
Let n(r) be the second derivative of 0 + 21*r + 5/4*r**2 + 1/24*r**4 + 1/2*r**3. Factor n(w).
(w + 1)*(w + 5)/2
Factor 24*d**3 - 383*d + 4*d**4 + 20*d**3 + 16*d**2 - 40 + 20*d**2 + 339*d.
4*(d - 1)*(d + 1)**2*(d + 10)
Let s = -54 + 56. Let n be s/3*78/260. Solve -2/5 - 4/5*a**2 - n*a**3 - a = 0.
-2, -1
Let d be 5/10*-2*(2 - 1). Let y(q) = -4*q**3 + 2*q**2 + 5*q + 4. Let m be y(d). Solve 0 + m*b**3 - 5/2*b + 5/2*b**2 = 0 for b.
-1, 0, 1/2
Find o such that -116/11 + 170/11*o + 6/11*o**2 = 0.
-29, 2/3
Let d(l) be the first derivative of -43*l**6/2 + 522*l**5/5 - 135*l