et b be t(-7). Let n be 5/(-1)*2/b. Suppose -4*q + n*q**5 - 2*q**2 + 2*q**3 - 4*q**4 + 8*q**2 - 2*q**4 = 0. What is q?
-1, 0, 1, 2
Factor 0 + 3/5*g**2 - 6/5*g.
3*g*(g - 2)/5
Let l be (-30)/(-2)*8/100. Factor -l*c - 2/5*c**2 - 4/5.
-2*(c + 1)*(c + 2)/5
Factor 3*g**2 + 0*g**2 - 2*g**4 - 2*g**2 + g**2.
-2*g**2*(g - 1)*(g + 1)
Let j = -359 + 8617/24. Let g(a) be the second derivative of 0*a**2 - 1/48*a**4 - j*a**3 + 0 + a. Find s, given that g(s) = 0.
-1, 0
Let m(h) be the first derivative of 0*h - 1 - 2/15*h**3 - 2/5*h**2. What is c in m(c) = 0?
-2, 0
Suppose m + m = -2*o + 4, 10 = -5*o + 5*m. Suppose 0*l**2 + 2/3*l**5 + 0*l - 2/3*l**3 + 0*l**4 + o = 0. What is l?
-1, 0, 1
Let t(s) be the first derivative of -s**4/48 - s**3/4 - 9*s**2/8 - 4*s + 1. Let u(f) be the first derivative of t(f). Factor u(y).
-(y + 3)**2/4
Let r = 19 - 5. Let i = r + -9. Let 8*t**2 + 6*t + 12*t**3 + t**4 - 4*t + 2*t**i + 7*t**4 = 0. What is t?
-1, 0
Let m(i) be the second derivative of 3*i**5/140 - 3*i**4/28 + 3*i**3/14 - 3*i**2/14 - 5*i. Factor m(q).
3*(q - 1)**3/7
Let w(i) be the third derivative of 13*i**5/60 - 7*i**4/6 + 2*i**3/3 + 5*i**2. Solve w(g) = 0.
2/13, 2
Solve -3/2*y + 0 + 3/2*y**3 + 0*y**2 = 0.
-1, 0, 1
Let w(d) be the second derivative of 1/20*d**5 + 0*d**2 + d + 0*d**3 + 1/36*d**4 + 1/126*d**7 + 1/30*d**6 + 0. What is o in w(o) = 0?
-1, 0
Let i(k) be the first derivative of -2*k**5/5 - k**4/2 + 2*k**3 + k**2 - 4*k - 17. What is f in i(f) = 0?
-2, -1, 1
Let z(h) be the third derivative of -h**8/672 + h**7/210 + h**6/120 - h**5/30 - h**4/48 + h**3/6 + 26*h**2. Suppose z(s) = 0. What is s?
-1, 1, 2
Let w = 6 + 0. Let d be (46/6)/(w - 5). Factor -d*l**4 - 13/3*l**2 - 2/3*l - 7/3*l**5 + 0 - 9*l**3.
-l*(l + 1)**3*(7*l + 2)/3
Let h = -55 - -661/12. Let q(w) be the third derivative of 0 + 1/60*w**5 + 0*w + 1/6*w**3 + w**2 - h*w**4. Factor q(s).
(s - 1)**2
Let d(u) be the third derivative of -1/24*u**4 + 0 - 1/210*u**7 + 1/90*u**5 + 0*u + 1/1008*u**8 + 1/180*u**6 - 3*u**2 + 1/18*u**3. Solve d(p) = 0.
-1, 1
Let v be (-195)/234 + (-15)/(-18). Let -8/11*g**2 - 50/11*g**4 + v + 40/11*g**3 + 0*g = 0. Calculate g.
0, 2/5
Let y(r) be the second derivative of r**8/2240 - r**7/210 + r**6/48 - r**5/20 + r**4/6 - r. Let u(o) be the third derivative of y(o). Factor u(k).
3*(k - 2)*(k - 1)**2
Let k = -11 + 3. Let w = 10 + k. Solve -1 - 7/2*f**5 + 7*f**2 + w*f**3 + 3/2*f - 6*f**4 = 0 for f.
-1, 2/7, 1
Let f(r) be the first derivative of -7/6*r**2 + 5/6*r**4 - 2 + 0*r**3 + 2/15*r**5 - 2/3*r - 1/6*r**6. Find t such that f(t) = 0.
-1, -1/3, 1, 2
Let h(i) be the second derivative of i**7/84 - i**6/60 - i**5/40 + i**4/24 + 6*i. Solve h(n) = 0.
-1, 0, 1
Suppose 3*u = -0*v + 3*v - 3, -v + 13 = 3*u. Let q(f) be the first derivative of 0*f**2 + 1/2*f**4 + 0*f + 2/3*f**u + 2. Determine t, given that q(t) = 0.
-1, 0
Let k(v) = -v**2 - v - 1. Let g(q) = -42*q**2 + 38*q - 14. Let x(o) = g(o) - 6*k(o). Factor x(i).
-4*(i - 1)*(9*i - 2)
Suppose c - 4*c + 3*f - 6 = 0, -3*c + f = -2. Factor 3*g**c + g - 2*g - 2*g.
3*g*(g - 1)
Let b(c) = c**3 - 4*c**2 + 5*c - 4. Let p be b(3). Let k(i) be the first derivative of 0*i**p - 1/5*i**5 + 2 + 0*i**3 - 1/4*i**4 + 0*i. Factor k(n).
-n**3*(n + 1)
Factor 5*v**2 + 4*v**2 - 4*v - v - 5 - 4*v**2 + 5*v**3.
5*(v - 1)*(v + 1)**2
Let d(f) = -f**2 - 6*f + 6. Let k(p) = p**2 + 5*p - 5. Suppose -4*u - 15 = -u. Let q(i) = u*d(i) - 6*k(i). Determine l, given that q(l) = 0.
0
Let d(i) be the first derivative of 0*i**3 + 2/5*i**5 - 4*i**2 + 3/2*i**4 + 0*i - 2. Factor d(x).
2*x*(x - 1)*(x + 2)**2
Determine a, given that -6/5*a + 2/5*a**5 + 4/5*a**3 - 2*a**4 - 18/5 + 28/5*a**2 = 0.
-1, 1, 3
Let a(q) be the first derivative of 8*q**3 - 4*q**2 + 2*q/3 + 6. Determine z, given that a(z) = 0.
1/6
Suppose 4 = 5*r - 11. Determine t so that -40*t**5 + 30*t**r + 7*t**4 + 9*t**4 - 16*t**2 + 8*t**5 + 2*t = 0.
-1, 0, 1/4, 1
Let o = -40/31 - -1471/1116. Let l(z) be the second derivative of 0 + o*z**4 - 1/6*z**2 + 0*z**3 + 2*z. Factor l(p).
(p - 1)*(p + 1)/3
Factor 92*h**4 - 106*h**2 - 2048*h + 4*h**5 + 672*h**3 + 875*h**2 + 511*h**2.
4*h*(h - 1)*(h + 8)**3
Let u(p) be the second derivative of p**4/6 - p**3 + 6*p. Factor u(h).
2*h*(h - 3)
Let 0 - 10/9*d**4 - 8/3*d**3 - 4/9*d - 2*d**2 = 0. Calculate d.
-1, -2/5, 0
Factor -3/4*w - 1/4*w**2 - 1/2.
-(w + 1)*(w + 2)/4
Let r(g) = -2*g**2 + 7*g - 5. Suppose 5*d - 30 = -5. Let m(c) = -3*c**2 + 10*c - 7. Let q(y) = d*m(y) - 7*r(y). Find j such that q(j) = 0.
0, 1
Let l = 9 + -7. Factor o**3 + 0*o**3 - 1 - 2*o**3 + o**l + o.
-(o - 1)**2*(o + 1)
Suppose 14 = -y - y. Let j be (-1 + 1/(-1))/y. Factor -4/7*b**2 + 0 + j*b**3 + 2/7*b.
2*b*(b - 1)**2/7
Let u(t) be the first derivative of -t**5/60 - t**4/9 - 5*t**3/18 - t**2/3 - 4*t + 2. Let g(r) be the first derivative of u(r). Solve g(l) = 0.
-2, -1
Find a such that 0 + 1/7*a**4 - 4/7*a**2 - 2/7*a**3 + 8/7*a = 0.
-2, 0, 2
Let l be (3/42)/(((-9)/4)/(-9)). Factor -2/7*n**4 + 0 + 2/7*n - l*n**3 + 2/7*n**2.
-2*n*(n - 1)*(n + 1)**2/7
Suppose -2*p + c + 5 = 0, 0 = 3*c - 2*c - 1. Find j such that -110*j**2 - p - 13 - 30*j**2 - 88*j - 50*j**3 = 0.
-2, -2/5
Let b = -1128/35 - -164/5. Let 2/7*v**5 - 4/7*v**2 + 2/7 + 2/7*v**4 + 2/7*v - b*v**3 = 0. Calculate v.
-1, 1
Let t(j) be the second derivative of -j**6/6 + 5*j**5/4 - 10*j**4/3 + 10*j**3/3 + 14*j. Find u, given that t(u) = 0.
0, 1, 2
Suppose 0 = -5*k + 144 - 54. Suppose 2*w**2 - 16*w**3 + k*w**3 + 2*w**2 + 2*w = 0. Calculate w.
-1, 0
Let j(h) be the third derivative of h**9/90720 - h**8/15120 + h**7/7560 - h**5/30 + 2*h**2. Let x(q) be the third derivative of j(q). Factor x(u).
2*u*(u - 1)**2/3
Let u(p) be the first derivative of 2 + 1/16*p**4 + 0*p**2 + 1/12*p**3 + 0*p. Factor u(l).
l**2*(l + 1)/4
Suppose 2/3*n**2 + 0 - 2/3*n = 0. Calculate n.
0, 1
Let f be -6*(-12)/45 - 4/(-10). Factor 3/4 + 3/4*n**f - 3/2*n.
3*(n - 1)**2/4
Let t(v) be the first derivative of v**4/24 + v**3/18 - v**2/12 - v/6 + 9. Factor t(o).
(o - 1)*(o + 1)**2/6
Suppose -6 = 5*b - 16. Let a = -1819 - -9143/5. Determine w so that 32/5*w**3 - 2/5 - a*w**b + 18/5*w = 0.
1/4, 1
Let l(t) = -9*t**2 + 15*t + 24. Let y(i) = -10*i**2 + 15*i + 25. Let p(d) = -5*l(d) + 4*y(d). Find o such that p(o) = 0.
-1, 4
Let s(q) be the second derivative of 3*q + 0*q**2 - 1/120*q**5 + 1/72*q**4 + 0 + 0*q**3. Solve s(j) = 0.
0, 1
Let n = -57 + 286/5. Let t be (4 - (-120)/(-25))*-1. Find p, given that -n - t*p + p**2 = 0.
-1/5, 1
Let f(b) be the first derivative of 8*b**3/33 - b**2 - 6*b/11 - 13. Determine z, given that f(z) = 0.
-1/4, 3
Let c(x) = -3*x**4 - 7*x**2 + 5*x - 5. Let r(f) = -f**4 - 3*f**2 + 2*f - 2. Let s(d) = -4*c(d) + 10*r(d). Factor s(q).
2*q**2*(q - 1)*(q + 1)
Let i(w) = 7*w**4 - 14*w**3 + 36*w**2 - 40*w + 21. Let k(u) = -22*u**4 + 42*u**3 - 108*u**2 + 120*u - 64. Let a(x) = -16*i(x) - 5*k(x). Factor a(y).
-2*(y - 2)**3*(y - 1)
Let y = -242 - -242. Factor -3/2*o**4 + 0*o**2 - 3/2*o**3 + 0 + y*o.
-3*o**3*(o + 1)/2
Let q be (-2*32)/(-4) + 2. Let f = q + -16. What is a in 12*a - 12/5 - 15*a**f = 0?
2/5
Let g(x) = -2*x**5 + 2*x**4 + 10*x**3 + 3*x**2 + 3. Let j(o) = -10*o**5 + 10*o**4 + 50*o**3 + 16*o**2 + 14. Let t(l) = 14*g(l) - 3*j(l). Factor t(r).
2*r**2*(r - 3)*(r + 1)**2
Let j(a) be the second derivative of -6*a + a**2 + 1/4*a**4 + 5/6*a**3 + 0. Solve j(d) = 0 for d.
-1, -2/3
Suppose -3*u - 3*b + 7*b + 22 = 0, 5*b + 11 = u. Suppose -4*y**2 + 10*y - y + 5*y**2 - 4*y**2 - u = 0. Calculate y.
1, 2
Let j(p) be the third derivative of p**6/30 + 7*p**5/15 + 5*p**4/2 + 6*p**3 - 3*p**2. Suppose j(i) = 0. What is i?
-3, -1
Factor -2*f**2 - 5 - 8 - 2*f**2 + 17.
-4*(f - 1)*(f + 1)
Let m(q) be the first derivative of q**4/8 - q**3/6 - q**2/4 + q/2 + 16. Solve m(t) = 0 for t.
-1, 1
Let 0*v - 99 - v**2 - 6*v + 108 - 2*v = 0. What is v?
-9, 1
Let t(p) be the second derivative of -p**10/30240 + p**8/3360 - p**6/720 - p**4/6 + p. Let l(w) be the third derivative of t(w). Suppose l(c) = 0. Calculate c.
-1, 0, 1
Let p = 6 - 34. Let d = p + 28. Find k, given that d - 8/5*k**2 + 2/5*k + 8/5*k**4 - 2/5*k**3 = 0.
-1, 0, 1/4, 1
Suppose j - 100 = 5*j. Let z be (-5)/j*(-10)/(-4). Determine s so that 5/2*s - 5*s**2 - z + 1/2*s**5 + 5*s**3 - 5/2*s**4 = 0.
1
Let j(l) be the first derivative of -l**4/30 - 28*l**3/45 -