hat -2/3*t + 2 - 8/3*t**2 = 0.
-1, 3/4
Let h(b) = -b**2 + b - 1. Let o(c) = 4*c**3 - 6*c**2 + 3*c - 3. Let w(x) = -6*h(x) + 2*o(x). Factor w(y).
2*y**2*(4*y - 3)
Suppose -14 = -3*q - 2*t, -3*q - 2*t - 10 = -6*t. Let x = 4 - q. Factor m**x + 10*m**2 + 8 - 2*m**3 - 16*m - m**2.
-2*(m - 2)**2*(m - 1)
Let m be 260/24 + 2/12. Suppose 4*i - 1 = m. Suppose -3/2*o**4 - 1/2*o**2 + 1/2*o - 5/2*o**i + 0 = 0. Calculate o.
-1, 0, 1/3
Let r(x) = -5*x + 10. Let k be r(11). Let u = k + 226/5. Factor -1/5*g**3 - 2/5 + 1/5*g - u*g**4 + 3/5*g**2.
-(g - 1)**2*(g + 1)*(g + 2)/5
Let -4/5*q**4 - 12/5*q**3 + 0 - 12/5*q**2 - 4/5*q = 0. Calculate q.
-1, 0
Let t(w) be the second derivative of -1/42*w**4 + 3/70*w**5 - 1/35*w**6 + 0*w**3 + 0*w**2 + 0 + 1/147*w**7 - 2*w. Factor t(k).
2*k**2*(k - 1)**3/7
Let r(t) be the second derivative of t**4/12 + t**3 + 9*t**2/2 + 7*t. What is n in r(n) = 0?
-3
Let x(f) be the second derivative of 0 + f**2 + 1/3*f**4 + 3/2*f**3 - 3*f. Let x(s) = 0. What is s?
-2, -1/4
Let r(p) = p**2. Let m(u) = 10*u**2 - 2*u. Let t(h) = m(h) - 12*r(h). Determine k so that t(k) = 0.
-1, 0
Let x be (2 + 0 + (0 - 2))/3. Factor 2/3*q - 4/3*q**3 + 2/3*q**5 + 0*q**4 + x*q**2 + 0.
2*q*(q - 1)**2*(q + 1)**2/3
Determine u so that 68*u - 2 - 8 - 20*u**2 - 14 = 0.
2/5, 3
Suppose 0*w = -w + 2. Factor 1 + 1 + w*i**2 + i - 3*i**2.
-(i - 2)*(i + 1)
Suppose -3*l + s = -6, 3*s = 2*l + s. Suppose -26 = -l*d + 4*t, -d - 3*t + 7 = -4*t. Determine m so that 0*m - 7*m**4 - 4/3*m**d + 0 + 49/3*m**5 - 8*m**3 = 0.
-2/7, 0, 1
Let p(u) = -u**2 + 8*u - 10. Let z be p(6). Factor -1/3*f**4 + 2*f**3 + 4*f - 13/3*f**z - 4/3.
-(f - 2)**2*(f - 1)**2/3
Let n = 1 - -3. Factor -n*v - v**2 + 0*v + 2*v.
-v*(v + 2)
Solve -8*x**4 - 8*x**2 - 12*x**3 + 32*x**5 - 70*x**5 - 2*x + 36*x**5 = 0.
-1, 0
Suppose 4*m - 4*b = 16, -3*m + 0*m - 5*b + 4 = 0. Factor -u**2 + 4*u**2 + u**2 + 5*u**3 - m*u**3.
2*u**2*(u + 2)
Let w(k) be the third derivative of 1/720*k**6 + 0 + 0*k + 1/6*k**3 - k**2 - 1/24*k**4 + 1/240*k**5. Let p(z) be the first derivative of w(z). Factor p(i).
(i - 1)*(i + 2)/2
Let i(r) be the third derivative of r**8/448 - r**6/80 + r**4/32 + 17*r**2. What is l in i(l) = 0?
-1, 0, 1
Suppose -4*w - 4*f = -76, -61 = w - 4*w + f. Let l be 2/w*(7 - 1). Solve 1/5*x**2 + 2/5 - l*x = 0.
1, 2
Factor -z + 0 + 1/2*z**2.
z*(z - 2)/2
Let y(l) be the second derivative of -l**7/126 - l**6/18 - 3*l**5/20 - 7*l**4/36 - l**3/9 + 65*l. Let y(n) = 0. Calculate n.
-2, -1, 0
Let i(y) = 2*y + 17. Let v be i(-12). Let h = -5 - v. Factor 3 - h + 4*d**2 - 1 - 2*d - 2*d**3.
-2*d*(d - 1)**2
Let o(t) be the first derivative of 2*t**3/3 + t**2 - 3. Factor o(q).
2*q*(q + 1)
Let s(c) be the first derivative of -c**3/12 + c**2/2 - 3*c/4 + 16. Factor s(d).
-(d - 3)*(d - 1)/4
Let r(h) be the first derivative of -h**6/30 + h**5/4 - 3*h**4/4 + 7*h**3/6 - h**2 - 7*h - 7. Let m(y) be the first derivative of r(y). Solve m(s) = 0.
1, 2
Determine x so that -1/7*x**2 + 3/7*x**3 + 2/7 - 1/7*x**4 - 3/7*x = 0.
-1, 1, 2
Suppose 2*y + 12 = -5*c - 27, 0 = 3*y + 5*c + 51. Let n be (-10)/y - (-3)/6. Factor -2*f**2 + 0 - n*f + 4/3*f**3.
2*f*(f - 2)*(2*f + 1)/3
Suppose 6*n - 9 = 3*n. Factor 27 + 0*k**2 + 4*k + 3*k**3 + 21*k**2 - 49*k - 6*k**n.
-3*(k - 3)**2*(k - 1)
Let g be ((-12)/60)/(2/(-8)). Factor 8/5*d**2 - g*d**3 + 0 - 4/5*d.
-4*d*(d - 1)**2/5
Let b(w) be the first derivative of -w**6/120 - 3*w**5/80 - w**4/24 + 2*w + 6. Let t(i) be the first derivative of b(i). What is n in t(n) = 0?
-2, -1, 0
Let p(l) be the third derivative of l**8/294 + 13*l**7/735 + l**6/28 + l**5/30 + l**4/84 + 15*l**2. Determine j so that p(j) = 0.
-1, -1/4, 0
Let b(d) be the third derivative of -d**8/1512 + d**7/945 + d**6/180 - d**5/270 - d**4/54 + 42*d**2. Suppose b(a) = 0. What is a?
-1, 0, 1, 2
Find u such that 5 + 15*u**2 + 7 + 3*u**3 + 5 - 8 + 21*u = 0.
-3, -1
Let 4/13 - 2/13*k - 2/13*k**2 = 0. What is k?
-2, 1
Let m(l) = -5*l**2 + 3*l. Suppose 3 = 3*u - 4*u. Let h(i) = 4*i**2 - 2*i. Let t(s) = u*m(s) - 4*h(s). Suppose t(g) = 0. What is g?
-1, 0
Let w(f) be the second derivative of -2*f**6/5 - 17*f**5/5 + 3*f**4 + 34*f**3/3 - 12*f**2 - 51*f. Suppose w(j) = 0. Calculate j.
-6, -1, 1/3, 1
Let b be (-14)/(-5) + (-7)/(-35). Factor c**b + 0*c**4 + 0*c**4 - c**4.
-c**3*(c - 1)
Let m(v) = v**3 + 6*v**2 + 10*v + 6. Let x be m(-2). Suppose -1/4*i**4 - 1/4*i + 1/4*i**3 + 1/4*i**x + 0 = 0. Calculate i.
-1, 0, 1
Let r = 2/267 - -296/89. Factor r*k - 14/3*k**2 + 4/3.
-2*(k - 1)*(7*k + 2)/3
Let y = 42 - 83/2. Let k(v) be the first derivative of -y*v**4 - 1/2*v - v**3 + 1 - v**2 - 1/10*v**5. Suppose k(c) = 0. Calculate c.
-1
Suppose -12 = -m - 3*m, m - 58 = g. Let v be (-22)/g + 13/5. Solve 17/2*o**v - 17/2*o**2 - 1/2 - 3*o**4 + 7/2*o = 0 for o.
1/3, 1/2, 1
Let a(d) be the first derivative of 1/2*d**2 - 8 - 1/5*d**4 - 2/15*d**3 + 4/25*d**5 - 2/5*d - 1/30*d**6. Let a(c) = 0. What is c?
-1, 1, 2
Let o(c) be the first derivative of -6*c**5/55 + c**4/2 - 10*c**3/11 + 9*c**2/11 - 4*c/11 + 10. Factor o(k).
-2*(k - 1)**3*(3*k - 2)/11
Let i(r) = 22*r**4 + 38*r**3 + 46*r**2 + 10. Let a(k) = -7*k**4 - 13*k**3 - 15*k**2 - 3. Let d(n) = 10*a(n) + 3*i(n). Factor d(z).
-4*z**2*(z + 1)*(z + 3)
Suppose -5*m = -m. Suppose 3*c - 21 = -4*n, 4*c + m = 12. Solve -3/4*x + 1/2 - n*x**2 - 7/4*x**3 = 0.
-1, 2/7
Let p(z) be the third derivative of -1/120*z**7 + 1/30*z**6 - 4*z**2 + 0 + 1/48*z**4 + 0*z + 0*z**3 - 11/240*z**5. Factor p(c).
-c*(c - 1)**2*(7*c - 2)/4
Let a(t) = -t. Let j(b) = -b**2 - 10*b + 11. Let r be j(-11). Let w be a(r). Factor 2/5*z**3 + w*z**4 + 0*z - 2/5*z**5 + 0*z**2 + 0.
-2*z**3*(z - 1)*(z + 1)/5
Suppose -10*z - 1 + 31 = 0. Factor 0 - 2*f - 2*f**2 + 3/2*f**4 + 5/2*f**z.
f*(f - 1)*(f + 2)*(3*f + 2)/2
Let y(k) be the second derivative of -1/30*k**4 + 1/15*k**3 + 0*k**2 + 0 - 7*k. Solve y(o) = 0.
0, 1
Let h(t) be the second derivative of -2*t**7/63 + 2*t**6/45 + 2*t**5/15 + 8*t. Find m, given that h(m) = 0.
-1, 0, 2
Let n be (-8)/63 - 2/(-9). Let h(g) be the first derivative of -2 - 2/7*g**2 - n*g**3 - 2/7*g. Find d such that h(d) = 0.
-1
Let c(y) = y**3 - y**2 - y + 2. Let p = -2 + 2. Let l be c(p). Determine z so that 0*z + 0*z - 2 - 2*z + l*z**2 + 2*z**3 = 0.
-1, 1
Let x be ((-3)/6)/((-1)/2). Solve -3*u**2 + 5*u**2 + 0 + 3 + 4*u - x = 0.
-1
Let d(z) be the third derivative of -z**7/900 + z**6/540 + z**5/450 - 5*z**3/6 + 2*z**2. Let a(v) be the first derivative of d(v). Factor a(y).
-2*y*(y - 1)*(7*y + 2)/15
Let c(t) be the first derivative of t**3/9 + t**2/6 - 2*t/3 + 6. Determine u so that c(u) = 0.
-2, 1
Let s(h) be the third derivative of h**5/120 - h**4/48 - 5*h**2. What is c in s(c) = 0?
0, 1
Suppose -4*u**4 - 43*u**3 - 36*u**2 - 9 + 57 + 19*u**3 + 16*u = 0. Calculate u.
-3, -2, 1
Let i(q) = -q**5 - 3*q**4 + 16*q**3 - 5*q**2 - 12*q + 5. Let v(y) = -y**5 - 7*y**4 + 32*y**3 - 9*y**2 - 24*y + 9. Let d(j) = 7*i(j) - 3*v(j). Factor d(m).
-4*(m - 1)**3*(m + 1)*(m + 2)
Suppose 5*i + 16 - 46 = 0. Let h(j) be the third derivative of 1/60*j**i + 0*j**5 - 1/6*j**3 - j**2 + 1/210*j**7 - 1/12*j**4 + 0 + 0*j. Solve h(a) = 0 for a.
-1, 1
Let g(d) be the second derivative of d**5/60 - d**4/36 - d**3/18 + d**2/6 - 2*d. Let g(j) = 0. Calculate j.
-1, 1
Let v(x) be the first derivative of 0*x**3 + 0*x**4 + 1/60*x**5 + 0*x + 3 - x**2. Let u(n) be the second derivative of v(n). Factor u(p).
p**2
Let i(o) = 11*o**2 - 26*o - 351. Let u(c) = -5*c**2 + 14*c + 175. Let y(j) = 6*i(j) + 13*u(j). Factor y(b).
(b + 13)**2
Let n(o) be the first derivative of 0*o + 3/10*o**5 - 2/3*o**3 - 3/2*o**2 - 1 + 7/12*o**4. Let z(i) be the second derivative of n(i). Factor z(j).
2*(j + 1)*(9*j - 2)
Let o = -43 + 47. Let p(s) be the first derivative of 0*s - 2 + 1/2*s**2 + 2/3*s**3 + 1/20*s**5 + 5/16*s**o. What is g in p(g) = 0?
-2, -1, 0
Let p(x) be the first derivative of -x**6/120 + x**5/40 - x**4/48 + 3*x - 4. Let j(s) be the first derivative of p(s). Suppose j(n) = 0. Calculate n.
0, 1
Let o(c) = 10*c**2 - 26*c. Let l = 9 - 4. Suppose l = -2*b - 1. Let p(h) = -2*h**2 + 5*h. Let s(g) = b*o(g) - 16*p(g). Find i such that s(i) = 0.
0, 1
Let h(d) be the first derivative of d**4/4 + 5*d**3/3 + 7*d**2/2 + 3*d - 1. Factor h(r).
(r + 1)**2*(r + 3)
Let h be 390/120 - 3*(-1)/(-12). Determine w, given that 0 - 4/5*