*q**3 - z*q**4 - g*q + 0.
-2*q*(q - 1)**2*(q + 1)/5
Suppose 3*s + 6 = 6*s. Suppose -5 + 1 = -s*z. Let 8*k**3 + 4*k - 2*k + 0*k**3 - 10*k**z = 0. Calculate k.
0, 1/4, 1
Let d = -10 - -13. Let y(p) be the second derivative of -1/15*p**6 + 0*p**d + 1/10*p**5 + 0*p**2 + 0*p**4 + 0 + 2*p. Suppose y(t) = 0. What is t?
0, 1
Let p(c) be the third derivative of c**8/1680 + c**7/1050 - c**6/600 - c**5/300 - 4*c**2. Let p(o) = 0. What is o?
-1, 0, 1
Let z(h) be the first derivative of 4 - h**2 - 2/3*h**3 + 0*h. Factor z(a).
-2*a*(a + 1)
Suppose 24/5*v + 8/5 - 14/5*v**2 = 0. What is v?
-2/7, 2
Let j(u) = -u**2 - 7*u**2 + 9*u**2 - u**3 + u. Let g(o) = 12*o**5 - 15*o**4 + o**3 + 2*o**2 + 2*o. Let q(d) = -g(d) + 2*j(d). Factor q(l).
-3*l**3*(l - 1)*(4*l - 1)
Suppose -4*t - 2 + 2 = 0. Let x(f) be the first derivative of -1/8*f**2 - 1 - 1/12*f**3 + t*f. Find z such that x(z) = 0.
-1, 0
Let z(n) be the third derivative of -n**8/112 - n**7/21 - 37*n**6/360 - n**5/9 - n**4/18 + 9*n**2. Solve z(j) = 0.
-1, -2/3, 0
Suppose -3*r - 9 + 0 = 0. Let y be ((-8)/(-12))/(r/(-18)). Determine v so that v**2 + 0 - 2 + y - 3*v = 0.
1, 2
Let q(r) be the second derivative of -3*r**5/20 - 7*r**4/12 - 5*r**3/6 - r**2/2 - 2*r. Factor q(s).
-(s + 1)**2*(3*s + 1)
Let c(i) = -15*i**3 - 82*i**2 - 120*i + 8. Let p(t) = 5*t**3 + 27*t**2 + 40*t - 3. Let v(g) = 3*c(g) + 8*p(g). Factor v(w).
-5*w*(w + 2)*(w + 4)
Let x(r) be the third derivative of r**7/105 + r**6/15 + r**5/5 + r**4/3 + r**3/3 + 2*r**2. Find f such that x(f) = 0.
-1
Let t(c) = -c**2 + 12*c + 2. Suppose 2*w = 3*w + 5*y - 2, -14 = -w + y. Let a be t(w). What is u in 2/9*u + 2/9*u**a - 2/9*u**3 - 2/9 = 0?
-1, 1
Let s(w) = 9*w**5 + 4*w**4 - 5*w**3 + 5. Suppose -25 = 5*q - 10. Let r(o) = 5*o**5 + 2*o**4 - 3*o**3 + 3. Let a(v) = q*s(v) + 5*r(v). Factor a(t).
-2*t**4*(t + 1)
Let z be (-54 - -55)*1/4. Factor z*j**2 + 1/2 + 3/4*j.
(j + 1)*(j + 2)/4
Let i(s) be the first derivative of -s**5/30 + s**4/8 + 5*s**3/6 + 17*s**2/12 + s + 22. Suppose i(z) = 0. Calculate z.
-1, 6
Let y(w) = -6*w**4 + 37*w**3 - 61*w**2 + 35*w - 12. Let l(u) = 2*u**4 - 12*u**3 + 20*u**2 - 12*u + 4. Let a(g) = -14*l(g) - 4*y(g). Let a(x) = 0. What is x?
1, 2
Let y be 8 + -2 + 0 - 2. Factor 0*q**2 - q**2 + q**y + 4*q**3 + 3*q**2 + q**4.
2*q**2*(q + 1)**2
Let l be (-21)/15 + 2 + (-20)/200. Find a, given that -l + 1/4*a**2 - 1/4*a = 0.
-1, 2
Factor -10*z**2 + 5*z**2 + 2*z**4 + 7*z**2 + 0*z**4 - 4*z**3.
2*z**2*(z - 1)**2
Suppose 19 = 2*k + 13. Let -3/2*t**4 + 3/2*t**2 + t**k + 0 - t = 0. Calculate t.
-1, 0, 2/3, 1
Let h(k) be the third derivative of 0*k + 1/84*k**8 + 0*k**5 + 0 - 1/15*k**6 - k**2 + 0*k**3 + 2/105*k**7 + 0*k**4. Suppose h(z) = 0. What is z?
-2, 0, 1
Let t(a) be the second derivative of -a**8/1008 + a**7/630 + a**6/360 - a**5/180 - 3*a**2/2 + 4*a. Let g(m) be the first derivative of t(m). Factor g(b).
-b**2*(b - 1)**2*(b + 1)/3
Let w(v) be the first derivative of -v**4/10 + 8*v**3/15 - 4*v**2/5 - 16. Determine z, given that w(z) = 0.
0, 2
Let d be -4*-1*2/22. Factor -d*m - 2/11*m**2 + 0.
-2*m*(m + 2)/11
Let w(s) = -23*s**3 - s**2 + 7*s - 5. Let n(u) = 12*u**3 - 3*u + 3. Let d(i) = 5*n(i) + 3*w(i). Find c, given that d(c) = 0.
-1, 0, 2/3
Let j(h) be the first derivative of 14/9*h**3 - 2 + 4/3*h + 3*h**2. Factor j(v).
2*(v + 1)*(7*v + 2)/3
Let h(z) be the second derivative of -1/16*z**2 + 0 + 1/96*z**4 + 9*z + 1/48*z**3 - 1/160*z**5. Factor h(f).
-(f - 1)**2*(f + 1)/8
Let n(b) be the second derivative of b**5/30 - 4*b**4/9 + 7*b**3/3 - 6*b**2 + 3*b + 6. Find g such that n(g) = 0.
2, 3
Factor 0*m - 5*m - 12 + 3*m**2 - 2*m - 2*m.
3*(m - 4)*(m + 1)
Let i be -3 - (0 - 0)/3. Let s be i/2*(-20)/15. Find v, given that -2/9*v**3 - 2/3*v + 2/9 + 2/3*v**s = 0.
1
Let v be (18/15)/((-54)/(-20)). Determine n, given that 8/9*n**3 - 20/9*n**2 + 16/9*n**4 - 10/9*n**5 + 2/9*n + v = 0.
-1, -2/5, 1
Let m(k) = -11*k**2 - 7*k - 15. Let u be m(8). Let j = u + 6989/9. Factor 0 + j*b**2 + 4/9*b + 2/3*b**3.
2*b*(b + 2)*(3*b + 1)/9
Let x be -1*((-2 - 0) + 3 + -3). Let d(j) be the second derivative of -x*j**2 + 1/6*j**4 - 4*j + 0 + 1/3*j**3. Determine k so that d(k) = 0.
-2, 1
Let r(i) = i - 9. Let o be r(7). Let d be 10/105*(-6)/o. Determine v, given that 2/7*v**2 + d*v**3 - 2/7*v - 2/7 = 0.
-1, 1
Let r(j) be the second derivative of -j**6/6 + j**5/4 + 5*j**4/12 - 5*j**3/6 - 30*j. Find d, given that r(d) = 0.
-1, 0, 1
Suppose -3*o + 79 = 16. Suppose o = g - 3*g - 5*i, -5*g + 5*i + 35 = 0. Let -18/7*l**3 + 2*l**4 - 4/7 - 10/7*l**g + 18/7*l = 0. What is l?
-1, 2/7, 1
Let f(c) be the second derivative of c**7/2520 - c**6/360 + c**5/120 - c**4/3 - 7*c. Let s(q) be the third derivative of f(q). Factor s(l).
(l - 1)**2
Suppose -5 = -2*n + 1. Suppose 0 = -0*m - n*m. What is o in 2/5*o**5 + 0*o**2 - 2/5*o**4 + m*o + 0 + 0*o**3 = 0?
0, 1
Let t(r) be the second derivative of -r**7/42 + r**6/30 + r**5/10 - 2*r + 8. Factor t(q).
-q**3*(q - 2)*(q + 1)
Suppose -3*v + 1 = -11. Let m be 4 + ((-20)/(-14) - v). Factor -8/7*l**2 + 2/7*l**3 + m*l - 4/7.
2*(l - 2)*(l - 1)**2/7
Let y(n) be the third derivative of 1/6*n**3 + 9/112*n**8 + 0*n + 23/30*n**5 + 3/4*n**6 + 27/70*n**7 + 0 + 3*n**2 + 11/24*n**4. Solve y(g) = 0 for g.
-1, -1/3
Factor 4/5*t - 1/5 - 4/5*t**2.
-(2*t - 1)**2/5
Let i(x) be the second derivative of -x**4/3 - 4*x**3/3 - 7*x. Factor i(k).
-4*k*(k + 2)
Let j(z) be the second derivative of z**4/4 - 3*z**2/2 + 5*z. Suppose j(m) = 0. Calculate m.
-1, 1
Let v(f) be the second derivative of f**6/240 - f**4/48 + f**2/2 + f. Let o(g) be the first derivative of v(g). Factor o(p).
p*(p - 1)*(p + 1)/2
Let g be 20/140 + 3/(-21). Solve 2/15*r**5 + 0 + g*r**2 + 0*r + 2/15*r**3 - 4/15*r**4 = 0 for r.
0, 1
Let h(c) be the first derivative of 4*c**3 - 22*c**2 - 16*c - 6. Factor h(i).
4*(i - 4)*(3*i + 1)
Let q = 4/13 + -107/390. Let w(r) be the second derivative of 0 - q*r**5 + 1/3*r**3 + 0*r**4 - 2/3*r**2 + 3*r. Factor w(z).
-2*(z - 1)**2*(z + 2)/3
Let i(v) = -2*v + 6. Let q be i(-5). Let f be 22/28 + (-8)/q. Factor -2/7*s**2 - f*s + 4/7.
-2*(s - 1)*(s + 2)/7
Let b(q) be the second derivative of 3/2*q**2 + 0 - 5/4*q**4 + 9/20*q**5 - 3/2*q**3 + 2/5*q**6 - 5*q. Factor b(k).
3*(k - 1)*(k + 1)**2*(4*k - 1)
Let z(m) be the second derivative of m**4/3 + 8*m**3 + 72*m**2 - 16*m. Factor z(h).
4*(h + 6)**2
Let k(l) = -l**3 + 12*l**2 + 11*l + 26. Let d be k(13). Let n(f) be the second derivative of 2/3*f**3 + 1/6*f**4 + 0*f**2 + d - 4*f. Factor n(m).
2*m*(m + 2)
Let g be (-21)/(-9) - (-4 + 6). Factor -3 - g*q**2 + 2*q.
-(q - 3)**2/3
Let t(q) be the third derivative of -q**6/72 - 2*q**5/9 - 10*q**4/9 + 32*q**2. Solve t(f) = 0.
-4, 0
Let o(q) be the second derivative of -3/8*q**2 - 2*q + 3/16*q**5 + 0 - 3/16*q**4 - 5/8*q**3 + 1/10*q**6. Find a, given that o(a) = 0.
-1, -1/4, 1
Let y(q) = q**3 + q. Let i(u) = u**4 - 5*u**3 - u**2 - 5*u. Let n(g) = i(g) + 5*y(g). Suppose n(r) = 0. Calculate r.
-1, 0, 1
Let o(u) be the first derivative of -u**4/4 - u**3/3 + u**2/2 + 4*u - 11. Let x be o(0). Factor -2/9*s**x + 2/9 + 0*s**2 + 4/9*s - 4/9*s**3.
-2*(s - 1)*(s + 1)**3/9
Let o(f) be the first derivative of 2/21*f**3 + 3/2*f**2 - 4 - 1/28*f**4 + 0*f + 1/210*f**5. Let m(t) be the second derivative of o(t). Solve m(a) = 0 for a.
1, 2
Let i be 5*5/((-25)/(-2)). Suppose -10 = i*y - 0*y + 2*o, -3*o - 15 = -2*y. Suppose -r**4 + 0 + y*r**3 - 1/2*r + r**2 + 1/2*r**5 = 0. What is r?
-1, 0, 1
Factor -3/2*s**2 - 3/2*s**3 - 1/2*s - 1/2*s**4 + 0.
-s*(s + 1)**3/2
Let u = -11 + 6. Let j = 9 + u. Determine m so that -20*m**3 - 1 + 37*m**2 - 13*m**2 + 6*m**j - 12*m + 3 = 0.
1/3, 1
Factor 1 - 1/6*r**2 - 5/6*r.
-(r - 1)*(r + 6)/6
Factor 6/7*d + 2/7*d**2 + 0.
2*d*(d + 3)/7
Solve -2/11*h**2 - 12/11*h - 10/11 = 0.
-5, -1
Let g(j) be the third derivative of -j**5/30 - j**4/12 + 26*j**2. Factor g(v).
-2*v*(v + 1)
Find d, given that -1/2 - 1/4*d + 1/4*d**2 = 0.
-1, 2
Let z = 5 + -4. Let q be z/5 - 4/20. Factor 4/9*f**3 + 0*f - 2/9*f**4 - 2/9*f**2 + q.
-2*f**2*(f - 1)**2/9
Let -5*j - 12*j**2 + 2*j**2 + 10 + 5*j**2 = 0. Calculate j.
-2, 1
Factor -5/2*l**3 - 4 + 1/2*l**4 + 3*l**2 + 2*l.
(l - 2)**3*(l + 1)/2
Let o(i) be the first derivative of 3 + 2*i**2 + 0*i - 2/3*i**3 - 1/2*i**4. Let o(j) = 0. What is j?
-2, 0, 1
Let b be 4/20*28 - (-6)/(-10).