 5*s = 14, -3*i + 5*s + 11 = -5. Let j(d) be the first derivative of 1/3*d - 1/9*d**3 + 1/6*d**i - 1/12*d**4 + 1. Solve j(v) = 0.
-1, 1
Let w(f) be the third derivative of -f**7/420 - f**6/36 - 2*f**5/15 - f**4/3 + 5*f**3/6 - 5*f**2. Let g(r) be the first derivative of w(r). Factor g(h).
-2*(h + 1)*(h + 2)**2
Factor 6*v**4 - 9*v**4 + 8*v**2 - 5*v**2.
-3*v**2*(v - 1)*(v + 1)
Let s = -5 - -8. Suppose -p + 2*p + 1 - 18*p**2 - p**s + 1 + 16*p**2 = 0. Calculate p.
-2, -1, 1
Let a(g) be the first derivative of -1 + 3/2*g**2 - g**3 - 7/4*g**4 - 3/5*g**5 + 2*g. Factor a(t).
-(t + 1)**3*(3*t - 2)
Let x(y) be the second derivative of -y**7/84 + y**6/120 + 3*y**5/80 - y**4/48 - y**3/24 - 8*y. Determine s so that x(s) = 0.
-1, -1/2, 0, 1
Let h(k) be the second derivative of k**6/150 + k**5/50 + k + 5. Solve h(g) = 0 for g.
-2, 0
Let r be 0 + 2 + -5 + 5. Determine w, given that -r*w**2 - 8 - 4*w + 0*w**2 - 2*w - 2*w = 0.
-2
Let x = 5 - 2. Suppose w**2 + 0*w**2 - x*w**2 - 7*w + 3*w**3 - 2 = 0. What is w?
-1, -1/3, 2
Let v(k) = -5*k**3 + 26*k**2 - 23*k + 2. Let m(o) = o**2 - 1. Let l(a) = 4*m(a) - v(a). Determine h, given that l(h) = 0.
2/5, 1, 3
Find b such that b - 14*b - 5*b + 3*b**2 - 21 = 0.
-1, 7
Let a = -22 + 24. Factor 3*h + 6*h**a - 176*h**4 + 170*h**4 + 3*h**5 - 6*h**5.
-3*h*(h - 1)*(h + 1)**3
Let w(t) be the third derivative of t**9/1008 - t**8/560 - t**7/280 + t**6/120 + 2*t**3/3 - t**2. Let c(p) be the first derivative of w(p). Factor c(o).
3*o**2*(o - 1)**2*(o + 1)
Let j(a) be the second derivative of a**7/126 + a**6/30 + a**5/30 - a**4/18 - a**3/6 - a**2/6 + 3*a. Factor j(h).
(h - 1)*(h + 1)**4/3
Let m(j) = j**2. Let x be (-2)/(-1) + -4 - 0. Let d(q) = q + 1. Let y(a) = -6*a**2 + 7*a + 2. Let n(o) = -3*d(o) + y(o). Let f(r) = x*m(r) - n(r). Factor f(p).
(2*p - 1)**2
Let w(t) be the third derivative of -t**6/1260 - t**5/210 + t**3/3 - 3*t**2. Let d(h) be the first derivative of w(h). Suppose d(n) = 0. Calculate n.
-2, 0
Factor -2/17*g**3 + 0 - 4/17*g + 6/17*g**2.
-2*g*(g - 2)*(g - 1)/17
Let w(j) be the second derivative of 0 - j**2 + 1/3*j**3 + 1/21*j**7 - 2*j - 1/15*j**6 - 1/5*j**5 + 1/3*j**4. What is h in w(h) = 0?
-1, 1
Let z(q) = -5 - 12*q**2 + 4*q - 6*q + 12*q. Let r(a) = -a**3 + 12*a**2 - 9*a + 4. Let d(j) = 7*r(j) + 6*z(j). Factor d(i).
-(i - 1)**2*(7*i + 2)
Let m = 3 + 25. Suppose -4*b + 3*a + 2*a = -m, -4 = a. Solve -1/3*k**4 + 0 + 8/3*k + b*k**3 - 4*k**2 = 0.
0, 2
Solve 2*w**3 + 45*w**2 - 80*w**2 + w**4 + 36*w**2 = 0 for w.
-1, 0
Let i(l) be the third derivative of l**7/70 + l**6/20 - l**5/20 - l**4/4 + 17*l**2. Solve i(n) = 0.
-2, -1, 0, 1
Let b be (-105)/42 + -1 + 5. Suppose -b*o**3 - 3/2*o**2 + 0 + 3/2*o + 3/2*o**4 = 0. What is o?
-1, 0, 1
Let c be (-24)/(-32) - (-6)/(-8). Let o(f) be the third derivative of 1/90*f**5 + 0*f**3 - 2*f**2 - 1/72*f**4 + 0*f + c - 1/360*f**6. Factor o(q).
-q*(q - 1)**2/3
Let c(z) be the second derivative of -3/40*z**5 + 0 - 1/12*z**4 + 0*z**3 + 0*z**2 + 0*z**6 + 3*z + 1/84*z**7. Factor c(n).
n**2*(n - 2)*(n + 1)**2/2
Let n(i) = -i + 3. Let h(r) = -3*r + 9. Let w(j) = 2*h(j) - 7*n(j). Let q be w(6). Find s, given that 0*s**q + 0 - 4/7*s**4 - 2/7*s + 2/7*s**5 + 4/7*s**2 = 0.
-1, 0, 1
Suppose -111 + 96 = -5*g. Let l(o) be the first derivative of 2/3*o**g + 2 + 0*o + 0*o**2 - 1/5*o**5 - 1/4*o**4. Factor l(v).
-v**2*(v - 1)*(v + 2)
Let d(l) be the first derivative of l**6/3 - 12*l**5/5 + 9*l**4/2 + 16. Factor d(o).
2*o**3*(o - 3)**2
Let b(y) be the first derivative of -y**4/12 - y**3/9 + y**2/6 + y/3 - 4. What is k in b(k) = 0?
-1, 1
Let f(a) be the second derivative of -7*a**5/4 - 115*a**4/12 - 50*a**3/3 - 10*a**2 + 13*a. Solve f(h) = 0 for h.
-2, -1, -2/7
Find j, given that -2/7*j**2 - 32/7 - 16/7*j = 0.
-4
Suppose 4*y - 45 = y. Suppose -2*k + 6*k + 2*j = 8, 3*k - y = 3*j. Find q such that 2/5*q**k + 0*q + 0*q**2 - 2/5*q**5 + 0 + 0*q**4 = 0.
-1, 0, 1
Determine q, given that 3 + 3*q**4 - 21*q - 39*q**3 + 45*q**2 + 8*q**4 + q**4 = 0.
1/4, 1
Let n(a) be the first derivative of -2 - 1/12*a**3 - 1/120*a**5 - 1/24*a**4 - a**2 + 0*a. Let j(o) be the second derivative of n(o). Factor j(w).
-(w + 1)**2/2
Let j(n) be the second derivative of n**8/1008 - n**7/315 + n**5/90 - n**4/72 + n**2 + 2*n. Let x(p) be the first derivative of j(p). Let x(g) = 0. What is g?
-1, 0, 1
Suppose 17*z = 16*z + 5*u - 8, 8 = 4*u. Suppose 2/13*t**4 + 12/13*t + 16/13*t**z - 18/13 - 12/13*t**3 = 0. Calculate t.
-1, 1, 3
Factor -9/8 + 21/8*k**2 + 9/8*k**3 - 21/8*k.
3*(k - 1)*(k + 3)*(3*k + 1)/8
Let l(u) = -u**5 + u**4 - u**3 - u - 1. Let d(b) = -4*b**5 + 8*b**4 - 7*b**3 - 16*b**2 + 29*b - 19. Let g(m) = -d(m) + 3*l(m). Suppose g(z) = 0. Calculate z.
-2, 1, 2
Let k(h) be the third derivative of h**5/60 - h**3/6 - 2*h**2. What is o in k(o) = 0?
-1, 1
Let n be 10/2 + (-4 - -6). Let l be (2 - 2) + -4 + n. Let 0*s**4 + s**l + s**3 + 2*s**4 - 4*s**4 = 0. What is s?
0, 1
Let z = 8/31 + 84/155. Let l be (-26)/(-20) - 4/8. Find h, given that -2/5*h + l - z*h**2 + 2/5*h**3 = 0.
-1, 1, 2
Let w be 5 + (-1)/((-6)/(-8)). Factor -u**3 - 4*u + w*u**2 + 4/3.
-(u - 2)*(u - 1)*(3*u - 2)/3
Let m(o) be the first derivative of 2*o**3/3 + o**2 - 6. Find s, given that m(s) = 0.
-1, 0
Let v(b) be the second derivative of b**5/240 + b**4/24 + b**3/8 - 7*b**2/2 + 3*b. Let j(l) be the first derivative of v(l). Find u such that j(u) = 0.
-3, -1
Let j(t) be the first derivative of -t**5/100 + t**4/60 + t**3/15 + 2*t - 3. Let r(o) be the first derivative of j(o). Determine y, given that r(y) = 0.
-1, 0, 2
Let u(n) = -23*n + 11. Let o be u(-10). Factor -o*m - 4 + 100*m**3 - 28 - 55*m**2 + 97*m - 65*m**2.
4*(m - 2)*(5*m + 2)**2
Let k = 1331/70 - 19. Let q(i) be the second derivative of -i + 0*i**2 - 1/42*i**4 + 0 + 1/21*i**3 + 1/105*i**6 - k*i**5. Factor q(m).
2*m*(m - 1)**2*(m + 1)/7
Let g be (6 + -3 - 4)*-4. Suppose u = g*f + 19, 7*f + 8 = -4*u + 2*f. Factor 2/7*d**u + 0 - 2/7*d**4 - 2/7*d + 2/7*d**2.
-2*d*(d - 1)**2*(d + 1)/7
Factor 2/5*v**3 - 2/5*v - 2/5*v**2 + 0 + 2/5*v**4.
2*v*(v - 1)*(v + 1)**2/5
Let c(l) be the second derivative of l**6/15 + l**5 + 13*l**4/6 - 20*l**3 + 36*l**2 + 28*l. Factor c(v).
2*(v - 1)**2*(v + 6)**2
Let s(d) = d**3 + 2*d**2 - 3*d + 2. Let j be s(1). Factor 0 - 2/7*x**4 - 2/7*x - 6/7*x**j - 6/7*x**3.
-2*x*(x + 1)**3/7
Let n(x) be the third derivative of -1/1260*x**6 - x**2 + 0 + 0*x + 0*x**5 - 1/3*x**3 + 1/84*x**4. Let s(z) be the first derivative of n(z). Factor s(r).
-2*(r - 1)*(r + 1)/7
Factor -2/11*u**3 + 0*u**2 + 0 + 0*u.
-2*u**3/11
Let o(f) be the second derivative of 0*f**2 - f + 0 + 0*f**4 + 1/90*f**6 - 1/30*f**5 + 1/126*f**7 + 0*f**3. Factor o(s).
s**3*(s - 1)*(s + 2)/3
Suppose -3*v + 3 = -6. Suppose -i**2 + 67 - 67 + i**v = 0. Calculate i.
0, 1
Factor 2*n**5 - 2*n**5 + 3*n**5 - 5*n**3 - n**3 + 3*n.
3*n*(n - 1)**2*(n + 1)**2
Let r(d) be the third derivative of -d**6/480 - d**5/60 - d**4/32 + 57*d**2. Solve r(k) = 0 for k.
-3, -1, 0
Find l, given that -187*l**4 - 20 + 191*l**4 + 24*l + 16*l**2 - 10*l**3 - 14*l**3 = 0.
-1, 1, 5
Factor 3/2*z**3 + 0 + 0*z - 3/4*z**2.
3*z**2*(2*z - 1)/4
Suppose 0 = -5*y - 4 - 1. Let o = 3 + y. Solve -k - k + 4*k**o - 13*k**2 = 0.
-2/9, 0
Let w be 12/2*1/2. Let b be 44/10 - 2/5. What is s in 8/9*s - 16/9*s**w + 8/9*s**5 + 4/9*s**2 - 2/9 - 2/9*s**b = 0?
-1, 1/4, 1
Factor 2/19*a**4 - 2/19*a**2 - 4/19*a + 4/19*a**3 + 0.
2*a*(a - 1)*(a + 1)*(a + 2)/19
Suppose -5*j = x + 4*x + 30, x - 6 = 5*j. Let k be -2 - x/8*10. What is w in 1/2*w - 1/2*w**k + 1/6*w**4 - 1/3 + 1/6*w**2 = 0?
-1, 1, 2
Let c(f) be the second derivative of f**4/12 + f**3/6 - 3*f**2 + 30*f. Solve c(o) = 0.
-3, 2
Let p(s) = s**2 - 4*s + 10. Suppose -3*a + a + 18 = 0. Let r be p(a). Factor -17*x**2 + 0 + 8*x - 4 - r*x**4 + 40*x**2 - 25*x**5 - 19*x**3.
-(x + 1)**3*(5*x - 2)**2
Find f such that 1/4*f**4 + 0*f**3 - 5/4*f**2 + 0*f + 1 = 0.
-2, -1, 1, 2
Let g be (-1 + 5/15)*-3. Let o(z) be the second derivative of 0*z**g - 2/9*z**3 - 2*z - 1/30*z**5 - 1/6*z**4 + 0. Solve o(s) = 0.
-2, -1, 0
Factor 0*a**4 + 3/5*a + 1/5*a**5 - 4/5*a**3 - 2/5*a**2 + 2/5.
(a - 2)*(a - 1)*(a + 1)**3/5
Let w(i) be the second derivative of 4*i + 0*i**3 + 0*i**2 - 1/20*i**5 + 0 - 1/12*i**4. Factor w(d).
-d**2*(d + 1)
Let b(w) be the first derivative of w**3 - 9*w**2/2 + 6*w