/16 - v**3/4 + 17*v**2/8 - 5*v/2 - 148. What is r in x(r) = 0?
-2, 1, 5
Let n(x) be the first derivative of 4*x**6/15 + 36*x**5/25 + 2*x**4/5 - 12*x**3/5 - 8*x**2/5 - 81. Let n(d) = 0. What is d?
-4, -1, -1/2, 0, 1
Let n(z) be the second derivative of -11*z**5/60 - 61*z**4/36 - 5*z**3/3 - 290*z - 1. Suppose n(l) = 0. Calculate l.
-5, -6/11, 0
Suppose -7*z = 57 - 92. What is n in 40/9*n**2 + 34/9*n**3 + 0 - 16/3*n**4 - 2*n**z - 8/3*n = 0?
-3, -1, 0, 2/3
Let x = 278/3 - 511/6. What is i in 27/8*i**5 - 3 + 3/4*i**2 - 87/8*i**3 + x*i + 9/4*i**4 = 0?
-2, -1, 2/3, 1
Let l(u) be the second derivative of -u**5/90 - 5*u**4/27 - 7*u**3/9 + 905*u + 1. What is x in l(x) = 0?
-7, -3, 0
Let g(y) = 21*y**2 - 1110*y + 100461. Let q(z) = -3*z**2 + 2*z + 1. Let w(h) = -g(h) - 6*q(h). Find s such that w(s) = 0.
183
Let y(i) = i + 4*i + 3*i**2 + i**2 - 3*i**2 - 2. Let u be y(-6). Factor -6/5*n + 0*n**2 + 6/5*n**3 + 3/5*n**u - 3/5.
3*(n - 1)*(n + 1)**3/5
Suppose 16 = -4*t, 0*z = -3*z + 4*t + 19. Let s = 5 - z. Let -28*u**s - 3 + 29*u**4 + u**2 - 4*u**3 + 4*u + u**2 = 0. Calculate u.
-1, 1, 3
Let d be (4/(-2))/(1/14). Let f be (-10)/(-4)*d/(-245). Solve 1/7*x**2 + 0 - 4/7*x**5 - x**4 + 0*x - f*x**3 = 0.
-1, 0, 1/4
Suppose -2 = 17*p - 16*p + l, 2*l = 3*p - 4. Factor p + 2*s**2 - 6/5*s**3 - 4/5*s.
-2*s*(s - 1)*(3*s - 2)/5
Let q(b) be the third derivative of 0*b + 6*b**2 + 1/60*b**6 + 0 + 0*b**3 - 1/105*b**7 + 0*b**4 + 0*b**5. Factor q(j).
-2*j**3*(j - 1)
Let a(j) = -j**2 + 2. Let m be a(0). Suppose -4*t - 19 = -5*i, 2*i - 4*t = -3 + 13. Factor 3*s**4 - i*s**m - 3*s**2 + 4*s**2 - s**5 - 3*s**3 + 3*s**2.
-s**2*(s - 1)**3
Let s(r) = r**3 + 16*r**2 + 75*r + 88. Let c be s(-7). Factor 12*t**2 + 0 + 3/2*t**3 - 3/2*t**c - 18*t.
-3*t*(t - 2)**2*(t + 3)/2
Let z(t) = -2*t**5 - 2*t**4 - 22*t**3 + 18*t**2 + 16*t. Let s(f) = -f**4 + 2*f**3 - f**2 - f. Let i(u) = -8*s(u) - z(u). Solve i(h) = 0.
-4, -1, 0, 1
Let r(a) be the first derivative of -a**5 - 85*a**4/12 - 10*a**3 + 20*a**2/3 - 40. Let r(d) = 0. What is d?
-4, -2, 0, 1/3
Let k(x) be the second derivative of -4/21*x**3 + 0 + 6*x - 1/6*x**4 + 4/105*x**5 - 2*x**2. Let f(a) be the first derivative of k(a). Find j such that f(j) = 0.
-1/4, 2
Let k = 4 - 2. Determine d so that -58*d**4 - 16*d**k + 64*d**3 - 2*d**4 - 24*d**4 + 36*d**5 = 0.
0, 2/3, 1
Suppose 0 = 50*n - 63*n + 26. Let p(m) be the first derivative of 0*m + 0*m**2 + 0*m**4 - 1/3*m**3 - n + 1/5*m**5. Solve p(u) = 0 for u.
-1, 0, 1
Let w be 3*(1/3)/((-12)/(-24)). What is o in 4*o + 0*o - 2*o**3 + 2*o**4 - 2*o - 2*o**w = 0?
-1, 0, 1
Let f(c) = 2*c**3 - 28*c**2 + 20*c - 3. Let h(t) = 25*t**3 - 365*t**2 + 260*t - 40. Suppose -5*z + 13 = -2. Let i(u) = z*h(u) - 40*f(u). Factor i(q).
-5*q*(q - 4)*(q - 1)
Let v(g) be the third derivative of g**9/181440 - g**8/30240 - g**7/3780 + g**6/270 - g**5/12 + 27*g**2. Let r(p) be the third derivative of v(p). Factor r(a).
(a - 2)**2*(a + 2)/3
Let r(m) be the first derivative of m**6/90 - m**5/60 - m**4/36 + m**3/18 - m + 13. Let u(a) be the first derivative of r(a). Suppose u(s) = 0. What is s?
-1, 0, 1
Let i = -16 - -18. Factor -2*x**5 - 157*x**i + 157*x**2 + x**4.
-x**4*(2*x - 1)
Suppose 0 = 2*y + j - 1, 0 = -0*y - y + 3*j - 3. Let t(d) be the first derivative of y*d + 8 - d**3 + 3/2*d**2. Factor t(f).
-3*f*(f - 1)
Suppose -30*v - 33*v = -7*v + 22*v. Let l = 131/3 - 43. Solve 2/3*k**2 - l*k**4 + 0 - 2/3*k**5 + v*k + 2/3*k**3 = 0 for k.
-1, 0, 1
Let d(a) be the first derivative of -a**6/15 + 6*a**5/25 - a**4/5 + 91. What is i in d(i) = 0?
0, 1, 2
Factor -7*b**2 + 3*b**2 + 413*b - 53824 + 282*b + 233*b.
-4*(b - 116)**2
Let j(f) = 2*f**3 + 4*f**2 - 10. Let t(l) be the third derivative of -l**6/60 - l**5/20 + 11*l**3/6 + 11*l**2. Let a(x) = -6*j(x) - 4*t(x). Factor a(v).
-4*(v - 1)*(v + 2)**2
Let p be 1 + (318/24 - 3). Let i(o) be the first derivative of 3*o**2 + p*o**4 + 4 + 0*o + 11*o**3. Factor i(s).
3*s*(3*s + 1)*(5*s + 2)
Let g be 6/(-24)*-18 + 3/(-2). Let i(o) be the second derivative of g*o**2 - 3*o + 0 - 4/3*o**3 + 1/6*o**4. Determine m so that i(m) = 0.
1, 3
Factor 35*t - 24*t**2 + 5362*t**3 - 5367*t**3 - 6*t**2.
-5*t*(t - 1)*(t + 7)
Let k(l) = 14*l**2 - 2*l**3 + 2 - 4*l - 12*l**2 - 7*l**2. Let d(c) = c**3 + c**2 + c. Let r(q) = 3*d(q) + k(q). Let r(f) = 0. What is f?
-1, 1, 2
Let g(k) be the second derivative of -k**5/60 + k**3/6 + 4*k**2 - k. Let n(t) be the first derivative of g(t). Suppose n(v) = 0. What is v?
-1, 1
Suppose 6*g - 26 = 46. Suppose 6*k = 6 + g. Factor 5*m**4 - 3*m**2 - 2*m**4 - 3*m**5 + 10*m**k - 7*m**3.
-3*m**2*(m - 1)**2*(m + 1)
Let w = -31 + 33. Factor 16 + 6*y**2 - 96*y + 34*y**2 + 26*y**2 - 22*y**w.
4*(y - 2)*(11*y - 2)
Let k(r) be the second derivative of 3*r**5/20 - r**4/2 + r**3/2 - 9*r. Let n(f) = -f**2 + f. Let m(h) = -k(h) + 2*n(h). Let m(z) = 0. What is z?
0, 1/3, 1
Let m = 201 + -201. Let q(u) be the second derivative of -1/9*u**3 - 13/36*u**4 - 1/10*u**6 + 0 - 12*u - 2/5*u**5 + m*u**2. Factor q(g).
-g*(g + 2)*(3*g + 1)**2/3
Let u(r) = -408*r - 3. Let l be u(1). Let w = l + 2064/5. Solve 3/5*p**4 + w*p**3 + 0 + 3/5*p + 9/5*p**2 = 0.
-1, 0
Let j(s) be the first derivative of 1/4*s**2 + 2 - 1/16*s**4 + 0*s + 1/12*s**3. Let j(y) = 0. What is y?
-1, 0, 2
Let z(o) be the second derivative of -o**8/224 + o**6/80 - 11*o**2 - 21*o. Let k(g) be the first derivative of z(g). Factor k(c).
-3*c**3*(c - 1)*(c + 1)/2
Let f = 72 + -92. Let h be 2/(-4) + (666/f)/(-9). Factor 2*n**2 - h*n + 8/5 - 2/5*n**3.
-2*(n - 2)**2*(n - 1)/5
Let s be (1/(-2))/(1 - 35/30). Factor 6*g**2 - 82*g - s*g**3 - 24 - 85*g + 179*g.
-3*(g - 2)**2*(g + 2)
Factor 2/7*u**2 + 0 - 46/7*u.
2*u*(u - 23)/7
Let h be ((-36)/8)/(-3)*2. Suppose 7*a**3 - 5*a**4 - a**h - 6*a**3 = 0. Calculate a.
0
Suppose 5*q = y - 0*q - 27, 4*y + 3*q = -7. Find i such that 0*i**3 + 0 - 2/7*i - 4/7*i**4 + 4/7*i**y + 2/7*i**5 = 0.
-1, 0, 1
Let p(w) be the third derivative of 1/15*w**5 + 5/3*w**4 - 1/5*w**6 + 0*w - 13*w**2 + 0 + 2*w**3. What is g in p(g) = 0?
-1, -1/3, 3/2
Let d(g) = g**3 + g**2 - g + 1. Let k(s) be the third derivative of -s**6/8 + s**5/10 + s**4/8 - s**3 + 19*s**2. Let q(i) = 6*d(i) + k(i). Factor q(y).
-3*y*(y - 1)*(3*y - 1)
Solve 4/7*s**3 + 2*s**2 + 16/7*s + 6/7 = 0 for s.
-3/2, -1
Let a = 3619/2 + -1806. Determine k, given that a*k**5 + 10*k**3 + 0 + 23/2*k**4 + 2*k**2 + 0*k = 0.
-2, -1, -2/7, 0
Let c(y) be the first derivative of 38 + 0*y**2 + 0*y - 2/3*y**3 - 3/20*y**5 - 7/8*y**4. Factor c(k).
-k**2*(k + 4)*(3*k + 2)/4
Let z = 54 - 30. Find l, given that -l**2 + z*l + 20 + 4 + 12 + 5*l**2 = 0.
-3
Suppose -18*t = -12*t + 1626. Let y = -269 - t. Factor 0 + 2/7*g**3 + 0*g - 2/7*g**y.
2*g**2*(g - 1)/7
Let t(n) be the first derivative of -5/2*n**2 - 10*n + 9 + 5/3*n**3. Find z such that t(z) = 0.
-1, 2
Let r(d) be the first derivative of 3*d**4/4 + d**3 - 6*d**2 - 12*d - 18. Suppose r(f) = 0. What is f?
-2, -1, 2
Let w be 0 + 0 + (-104)/(-52). Let s(j) be the third derivative of 0*j**5 - 6*j**w + 0 + 0*j**3 - 1/70*j**7 + 3/40*j**6 + 0*j - 1/2*j**4. Factor s(g).
-3*g*(g - 2)**2*(g + 1)
Let f(l) = 21*l**2 - 59*l + 33. Let i(g) = -10*g**2 + 30*g - 17. Let k(h) = 6*f(h) + 14*i(h). Suppose k(y) = 0. Calculate y.
5/7, 4
Factor -112/3 - 36*u + 1/3*u**3 - 8*u**2.
(u - 28)*(u + 2)**2/3
Let r be ((-16)/(-10))/(2/5). Let y be (146/(-25) + 6)*(-5)/(-2). What is a in -1/5*a**5 - y*a**2 + 0*a**3 + 2/5*a**r + 1/5*a + 0 = 0?
-1, 0, 1
Solve 4/7*h**5 - 72/7 - 230/7*h**2 - 46/7*h**3 + 2*h**4 - 246/7*h = 0 for h.
-3, -1, -1/2, 4
Let b(t) be the third derivative of t**8/9240 - t**7/4620 - t**6/495 + t**5/165 - 7*t**3/2 - 18*t**2. Let d(l) be the first derivative of b(l). Factor d(r).
2*r*(r - 2)*(r - 1)*(r + 2)/11
Let o be 512/(-128) - (-51)/6. Factor 0 - 3/2*h**4 + 0*h**3 + o*h**2 + 3*h.
-3*h*(h - 2)*(h + 1)**2/2
Let m(v) = 2*v**2 + 84*v + 784. Let n be m(-14). Let n + 15/7*h**4 - 27/7*h**3 - 6/7*h + 3*h**2 - 3/7*h**5 = 0. What is h?
0, 1, 2
Let z = -80 + 85. Factor 45*n**3 + 10*n - 35*n**2 + 5*n**z - 3*n + 2*n + n - 25*n**4.
5*n*(n - 2)*(n - 1)**3
Let s(u) = 3*u**2. Let n(i) = i**2. Let r(j) = -8*n(j) + 3*s(j). Let f(c) = -8*c**2 - 20*c - 100. Let g(a) = 2*f(a) + 14*r(a). Determine l, given that g(l) = 0.
-10
Let r(z) be the third derivative of 8*z**7/105 - 97*z**