1, 0, 1
Solve -31*c**2 - 3*c**3 - 3*c - 12*c + 19*c**2 - 6 = 0 for c.
-2, -1
Let a(g) be the first derivative of -1/9*g**4 - 1/9*g**2 + 0*g - 1 - 2/9*g**3. Factor a(v).
-2*v*(v + 1)*(2*v + 1)/9
Let l be 2*(-3 + (-7)/(-2)). Let j = 2 + l. Let 2*h**3 + h - j*h**2 - 2*h - h + 3*h**3 = 0. What is h?
-2/5, 0, 1
Let j(c) be the second derivative of 0*c**3 + 0*c**2 - 1/36*c**4 + 0 + c + 1/60*c**5. Find v, given that j(v) = 0.
0, 1
Let b be 29 - (4 - 14/2). Let t(g) be the first derivative of 16*g**3 - 2 + 2/5*g**5 + 32*g + 4*g**4 + b*g**2. What is q in t(q) = 0?
-2
Let u(w) be the third derivative of 5*w**8/336 - w**7/21 + w**6/24 + 15*w**2. Factor u(a).
5*a**3*(a - 1)**2
Suppose 0 = -84*v + 76*v. Factor 2/13*f**3 + 0*f + v*f**2 + 0.
2*f**3/13
Let j = -18 - -21. Factor 27*g**2 - 35*g + 53*g - 2*g**j + 9*g**3 + 3 + 5*g**3.
3*(g + 1)**2*(4*g + 1)
Let t be (0 + (-1)/2)*14/(-21). Factor -2/3*v**2 + 0*v**3 + 0*v + t + 1/3*v**4.
(v - 1)**2*(v + 1)**2/3
Suppose 0*w - 2*r + 18 = 4*w, -3*w + 3*r = -27. Factor -8/3 - w*s**2 + 8*s.
-2*(3*s - 2)**2/3
Suppose 3*h = s + 6, -s + 5 = 5*h - 5. Factor 19*g**4 + 0*g**5 - 15*g**3 - 3*g**5 + 2*g - 4*g**5 + g**h.
-g*(g - 1)**3*(7*g + 2)
Suppose -3*j = -3*u + 9, 2*u + 15 = 7*u. Let h = -6 + 13/2. Factor 0 + h*v**4 - 1/2*v**2 + 0*v + j*v**3.
v**2*(v - 1)*(v + 1)/2
Let v(i) be the second derivative of 2*i**6/15 - 4*i**5/5 + 5*i**4/3 - 4*i**3/3 - 52*i. Let v(a) = 0. What is a?
0, 1, 2
Let s(j) be the first derivative of j**2/2 + 2*j - 1. Let n be s(0). Factor 0*y - 2*y**3 + 2*y**n + 0*y**3 + 4*y.
-2*y*(y - 2)*(y + 1)
Let v(h) = -12*h + 16 - 22*h**2 - 7 + 7. Let i(w) = -7*w**2 - 4*w + 5. Let k(y) = -16*i(y) + 5*v(y). Determine l so that k(l) = 0.
-2, 0
Factor -3*h**2 + 11 - 11 + 3*h**3.
3*h**2*(h - 1)
Let c = -369 + 1847/5. Factor 0*z + 0 + c*z**2 + 1/5*z**4 - 3/5*z**3.
z**2*(z - 2)*(z - 1)/5
Find u such that 0 - 4/11*u**2 - 2/11*u + 14/11*u**3 - 8/11*u**4 = 0.
-1/4, 0, 1
Factor 0 + 0*h**3 + h**2 - 1/3*h**4 - 2/3*h.
-h*(h - 1)**2*(h + 2)/3
Let y(z) be the second derivative of z**6/10 + z**5/10 - z**4/3 - z**3/3 + z**2/2 + 8*z. Factor y(c).
(c - 1)*(c + 1)**2*(3*c - 1)
Factor -4/5*n + 4/5 - 3/5*n**2.
-(n + 2)*(3*n - 2)/5
Let u(o) be the first derivative of 5*o**3/3 + 15*o**2/2 - 15. Factor u(c).
5*c*(c + 3)
Suppose -2*j - 4*q = -q - 3, -4*q - 42 = -5*j. Let y = -3 + 6. Suppose 0*f**2 - y*f**2 - 3*f + 1 - 1 + j = 0. Calculate f.
-2, 1
Let s(f) = -f**4 - f**3 + f**2 + f. Let j(u) = -u**3 + u. Let q(m) = -j(m) + s(m). Factor q(l).
-l**2*(l - 1)*(l + 1)
Let x(o) = 4*o**3 + 4*o**2 + 3*o - 4. Let z(h) = -h**3 - h**2 - h + 1. Let n(i) = -2*x(i) - 7*z(i). Factor n(u).
-(u - 1)*(u + 1)**2
Let r(t) be the first derivative of -3 - 4/25*t**5 + 7/10*t**4 - 8/15*t**3 - 4/5*t**2 + 0*t. What is s in r(s) = 0?
-1/2, 0, 2
Suppose -q + 9 = 2*q - 2*t, 5*q = 3*t + 14. Let u be 3/((0 + q)/1). Let 1/2*d**4 + 0 - 1/2*d + 1/2*d**u - 1/2*d**2 = 0. What is d?
-1, 0, 1
Let m(w) be the first derivative of 9 - 4*w - 4/3*w**3 - 4*w**2. Factor m(g).
-4*(g + 1)**2
Let b be (-11)/(0 - (2 - 1)). Suppose -3*p + 1 = -b. Factor 2*w + 2*w**2 + w - p*w.
w*(2*w - 1)
Let i(v) = v**3 - 4*v**2 - 6*v + 12. Let t be i(5). Let x = -2 + t. Factor 7/4*l**4 - 1/2*l**3 - l**x + 0*l + 0 - 1/4*l**2.
-l**2*(l - 1)**2*(4*l + 1)/4
Let g(v) = v**4 - v**3 + v**2 + 1. Let x(q) = 5*q**4 - 7*q**3 + 7*q**2 - q + 4. Let p(m) = 4*g(m) - x(m). Determine l so that p(l) = 0.
0, 1
Let n(p) = -18*p**2 - 79*p - 13. Let o(d) = -18*d**2 - 78*d - 14. Let i(j) = -4*n(j) + 6*o(j). Find v such that i(v) = 0.
-4, -2/9
Let h = -26/15 - -242/105. Suppose 2/7*c + 0 + h*c**3 - 6/7*c**2 = 0. What is c?
0, 1/2, 1
Let n(f) be the second derivative of 0 + 6*f + 27/2*f**2 - 3*f**3 + 1/4*f**4. Let n(c) = 0. Calculate c.
3
Let k be 3/60*(-12)/(-21). Let q(r) be the second derivative of 0*r**2 - r - k*r**5 + 1/147*r**7 + 0 + 1/21*r**3 + 0*r**6 + 0*r**4. Find h such that q(h) = 0.
-1, 0, 1
Let c be -4*-5*2/4. Let i = c - 7. Factor z**3 - z**i + 2*z**2 - 2*z**3.
-2*z**2*(z - 1)
Let r(m) be the first derivative of -2*m**5/5 + 7*m**4 - 98*m**3/3 - 16. Suppose r(a) = 0. What is a?
0, 7
Let u(c) be the second derivative of 1/48*c**4 - 1/168*c**7 + 1/80*c**5 - 2*c - 1/120*c**6 + 0*c**3 + 0*c**2 + 0. Factor u(t).
-t**2*(t - 1)*(t + 1)**2/4
Let m(c) be the first derivative of 0*c**3 - 2/3*c - 1/12*c**4 + 1/2*c**2 + 2. Factor m(u).
-(u - 1)**2*(u + 2)/3
Let d(v) be the second derivative of 3*v + 0 - 1/2*v**4 - v**2 + 4/3*v**3. Factor d(f).
-2*(f - 1)*(3*f - 1)
Let b be (-9)/(-16)*(-10)/(-15)*36. Factor -b*p**2 + 27/2*p**3 + 9/2*p - 1/2.
(3*p - 1)**3/2
Let m = 41731/2 - 20333. Solve -603/2*v**2 - 72*v - m*v**3 - 243/2*v**5 - 6 - 837/2*v**4 = 0 for v.
-1, -2/9
Let h(b) be the second derivative of b**5/300 - b**4/120 + 2*b**2 + 6*b. Let u(f) be the first derivative of h(f). What is t in u(t) = 0?
0, 1
Let z be 8/5 + (-2)/(-5). Determine o so that -4*o + 8 + o**2 + o**z - 7*o + 3*o = 0.
2
Let y(p) be the third derivative of -1/27*p**3 - 1/54*p**4 + 0*p + 0 - 2*p**2 - 1/270*p**5. Suppose y(k) = 0. What is k?
-1
Factor 0*w + 0 - 1/6*w**3 + 1/3*w**2.
-w**2*(w - 2)/6
Suppose 5*n - 2*n - i = 46, i = 2*n - 29. Let h = n + -3. Suppose s**3 + 4*s + 2*s**2 - 2*s**4 - 7*s**3 + h*s**5 - 12*s**5 = 0. What is s?
-1, 0, 1, 2
Let a(b) be the first derivative of -b**4/16 + b**3/12 - 12. Factor a(g).
-g**2*(g - 1)/4
Let v(u) be the first derivative of -5/24*u**6 - 3 - 21/16*u**4 - 11/12*u**3 - 17/20*u**5 - 1/4*u**2 + 0*u. Suppose v(b) = 0. What is b?
-1, -2/5, 0
Let y(h) be the second derivative of -1/36*h**4 + 1/2*h**2 + 0 + 2/9*h**3 - 1/90*h**5 - 2*h. Let i(a) be the first derivative of y(a). Factor i(m).
-2*(m - 1)*(m + 2)/3
Let v(b) be the third derivative of -b**7/560 + b**6/240 + 2*b**3/3 + 3*b**2. Let o(z) be the first derivative of v(z). Factor o(g).
-3*g**2*(g - 1)/2
Let n be (-14)/(-8) + (-11)/(-44). Let z(r) = -r - 2. Let s be z(-4). Factor w + 0*w - 2*w**4 + w - s*w**3 + 2*w**n.
-2*w*(w - 1)*(w + 1)**2
Suppose 4*f + 8 = -12. Let k(w) = w**3 - w**2 + w. Let h(b) = 2*b**3 - 2*b**2 + 8*b - 3. Let p(r) = f*k(r) + h(r). Suppose p(q) = 0. What is q?
-1, 1
Let x(f) = f**3 + 3*f**2 - 2*f. Let v(s) = -5*s**3 - 13*s**2 + 9*s. Let m(l) = -2*v(l) - 9*x(l). Determine y so that m(y) = 0.
0, 1
Let s = 18 - 14. Factor -13*z**2 + 3*z**2 - 32*z**s + 4*z + 30*z**4 + 8*z**3.
-2*z*(z - 2)*(z - 1)**2
Let j be -2 + (26/4)/1. Suppose -7*i + 12*i - 15 = 0. Factor -3/2*v**4 + 0 - j*v**2 - v - 5*v**i.
-v*(v + 1)*(v + 2)*(3*v + 1)/2
Let z(y) be the third derivative of y**9/12096 - y**8/3360 + y**7/3360 + y**3/3 - 2*y**2. Let m(i) be the first derivative of z(i). What is f in m(f) = 0?
0, 1
Determine n so that -1/5*n + 2/5*n**4 + 2/5*n**3 - 4/5*n**2 + 2/5 - 1/5*n**5 = 0.
-1, 1, 2
Let l be 0/((-8)/(-20)*5)*1. Let m(y) be the first derivative of 0*y - 3 + 1/14*y**4 + 0*y**3 + l*y**2 + 1/21*y**6 - 4/35*y**5. Factor m(q).
2*q**3*(q - 1)**2/7
Factor 40*d + 100 - 4*d**2 + 5*d**2 + 3*d**2.
4*(d + 5)**2
Let u(o) be the first derivative of -5*o**3/3 + 15*o**2/2 - 10*o - 4. Factor u(l).
-5*(l - 2)*(l - 1)
Determine l, given that -2/7*l**2 + 4/7 + 2/7*l = 0.
-1, 2
Let g(u) be the third derivative of u**6/480 - u**5/240 + 5*u**2. Find p such that g(p) = 0.
0, 1
Let n(w) = 6*w**4 + 7*w**3 - 12*w - 1. Let p(o) = 3*o**4 + 3*o**3 - 6*o. Let m = -1 - -4. Let d(x) = m*n(x) - 5*p(x). Solve d(b) = 0 for b.
-1, 1
Suppose 4*a**2 - 4*a + a**2 - 3*a**2 = 0. What is a?
0, 2
Factor -23*f**3 - 26*f**4 - 30*f**4 - 24*f**2 + 52*f**4 - 5*f**3.
-4*f**2*(f + 1)*(f + 6)
Suppose 12 = 9*a - 6. Let j = -427/5 + 86. Factor 2/5 + j*r - r**a.
-(r - 1)*(5*r + 2)/5
Suppose -2*h - 3*h = -35. Suppose -5*c + 3 + h = 0. Find a such that 0*a - 1/5*a**c + 1/5 = 0.
-1, 1
Factor -m - 2*m**5 - m + 6*m**3 - 2*m**3.
-2*m*(m - 1)**2*(m + 1)**2
Let 2*x - 4 - 1/4*x**2 = 0. Calculate x.
4
Suppose -2*q = 2, -5*x = -5*q + 15 - 45. Let b(a) = -a**3 + 4*a**2 + 4*a + 5. Let h be b(x). Let -2/3*l**3 + h + 0*l**2 + 2/3*l = 0. Calculate l.
-1, 0, 1
Let g(k) be the third derivative of -k**7/21 - 2*k**6/5 - 92*k**5/75 - 8*k**4/5 - 16*k**3/15 - 8*k**2. Factor g(y).
-2*(y + 2)**2*(5*y + 2)**2/5
Let d(h) be the first derivative of h**5/55 - 2*h**3/33 + h/11 + 2. Solve d(p) = 0.
-1, 1
Let r(v) be the third derivative of -4*v*