or -1/2*o - 1/2*o**2 + o**3 + d.
o*(o - 1)*(2*o + 1)/2
Let p(m) = -7*m + 1. Let r(n) = -n. Let y(l) = p(l) - 6*r(l). Let c be y(1). Factor -1/2*w**3 - 1/2*w**2 + w + c.
-w*(w - 1)*(w + 2)/2
Factor -12*z**2 - 5*z - 2*z - 6*z**3 + 2*z - 3*z - z**4.
-z*(z + 2)**3
Let j be 1 - (-4 + 0 + 2). Suppose -f = 2*o - 4*f, 0 = j*o - 2*f - 5. Factor -3/5 - 3/5*d + 3/5*d**o + 3/5*d**2.
3*(d - 1)*(d + 1)**2/5
Let c be (6 + -13 - -3) + (-24)/(-5). Determine q so that 2/5*q**5 - 2/5*q**4 + 2/5*q - 2/5 + 4/5*q**2 - c*q**3 = 0.
-1, 1
Suppose -4*l = 4*r - 4 - 0, 3*l = -4*r + 5. Factor -2*w**3 - r*w**2 + 2*w**2.
-2*w**3
Let x(n) be the first derivative of -n**3/2 + 15*n**2/4 - 9*n - 19. Find l such that x(l) = 0.
2, 3
Let j(u) be the third derivative of u**6/40 - u**5/70 - u**4/8 + u**3/7 + 2*u**2. Let j(n) = 0. What is n?
-1, 2/7, 1
Let x(g) be the third derivative of g**5/20 + 13*g**4/4 + 169*g**3/2 + 42*g**2. Let x(j) = 0. What is j?
-13
Let w = -397 - -397. Find m, given that 2/7*m**3 + 0*m**2 + 0 + 2/7*m**5 - 4/7*m**4 + w*m = 0.
0, 1
Let z = 4 - 1. Let p be (-18)/(-14) + 6 + -7. Factor -p*f**2 + 0 + 2/7*f**z + 0*f.
2*f**2*(f - 1)/7
Let l(z) = -z**3 - 1. Let s be l(-4). Suppose -8*c - 41*c**5 - 23*c**2 + s*c**2 + 7*c**3 - 140*c**4 - 57*c**5 - c**3 = 0. What is c?
-1, 0, 2/7
Factor 16/7*u**4 + 10/7*u**5 + 0*u + 2/7*u**3 + 0 - 4/7*u**2.
2*u**2*(u + 1)**2*(5*u - 2)/7
Let g(n) be the first derivative of n**6/2 - 3*n**5/5 - 3*n**4/4 + n**3 + 2. Factor g(x).
3*x**2*(x - 1)**2*(x + 1)
Let t = -296 + 6218/21. Let s(j) be the first derivative of -4/7*j + 3 + 3/7*j**2 - t*j**3. Suppose s(p) = 0. Calculate p.
1, 2
Let r(p) be the first derivative of 7*p**4/11 + 2*p**3/3 + 2*p**2/11 - 1. Factor r(w).
2*w*(2*w + 1)*(7*w + 2)/11
Let k = -2/557 + 565/2228. Find l such that 1/4*l**3 - 1/4*l - k + 1/4*l**2 = 0.
-1, 1
Let r(f) be the first derivative of 0*f**2 - 1/14*f**4 + 0*f + 1/21*f**6 + 2/35*f**5 - 2 - 2/21*f**3. Factor r(p).
2*p**2*(p - 1)*(p + 1)**2/7
Let i = 61 - 59. Let m(t) be the second derivative of 0 + 1/30*t**6 - 1/6*t**2 + 1/30*t**5 + i*t + 1/126*t**7 - 1/6*t**3 - 1/18*t**4. Factor m(q).
(q - 1)*(q + 1)**4/3
Let z(n) be the first derivative of -n + n - 2*n**2 - n**3 - n - 1. Factor z(j).
-(j + 1)*(3*j + 1)
Let u be (3/1)/((-6)/(-4)). Let y = u + 3. Factor 7*a**4 + 33*a**4 - y*a**4 + 4*a**2 + 0*a**2 + 24*a**3.
a**2*(5*a + 2)*(7*a + 2)
Let k(j) be the third derivative of -j**5/45 - j**4/18 - 24*j**2. What is s in k(s) = 0?
-1, 0
Let a(r) be the third derivative of r**10/60480 - r**8/6720 + r**6/1440 + r**4/8 + 3*r**2. Let l(n) be the second derivative of a(n). Factor l(f).
f*(f - 1)**2*(f + 1)**2/2
Factor 1/2*u**2 + 0*u + 5/6*u**3 - 1/3*u**4 + 0.
-u**2*(u - 3)*(2*u + 1)/6
Suppose -6/17*x + 2/17*x**2 + 0 = 0. What is x?
0, 3
Let -4*a + 4/3 - a**2 - a**4 + 10/3*a**3 = 0. What is a?
-1, 1/3, 2
Let l = -39 + 198/5. Factor -3/5*c + 3/5*c**3 + l*c**2 + 0 - 3/5*c**4.
-3*c*(c - 1)**2*(c + 1)/5
Let f(t) be the first derivative of t**5/5 - 5*t**4/4 - t**3 + 17*t**2/2 - 10*t + 40. Let f(v) = 0. What is v?
-2, 1, 5
Solve -218*a**3 - 30*a + 16*a**2 - 2*a + 216*a**3 = 0.
0, 4
Let k(a) be the first derivative of 0*a**4 + 2/15*a**5 + 0*a - 1/6*a**2 - 2 - 2/9*a**3 + 1/18*a**6. Determine g so that k(g) = 0.
-1, 0, 1
Suppose -v + 3*i = 6, -2 = -2*v - 0*i - i. Let h = v + 3. Factor -2*r - r**4 - 5*r**4 - 6*r**2 - 6*r**h + 4*r**4.
-2*r*(r + 1)**3
Let p(a) be the first derivative of 5*a**3/3 + 10*a**2 + 15*a + 6. Factor p(q).
5*(q + 1)*(q + 3)
Let t(p) = 5*p**4 - 11*p**3. Let c(r) = -10*r**4 + 21*r**3. Let q(w) = -6*c(w) - 11*t(w). Find m such that q(m) = 0.
0, 1
Suppose y + 2 = -1. Let i(l) = -l**2 - 5*l - 4. Let p be i(y). Suppose b - 1 + 1 - 3*b**p = 0. What is b?
0, 1/3
Let u = 419/4 + -104. Let 5/4*w**4 - 7/4*w**2 + 1/2 - u*w**3 + 3/4*w = 0. What is w?
-1, -2/5, 1
Let v(m) be the second derivative of 2*m**7/105 - 8*m**6/75 + m**5/5 - 2*m**4/15 + 2*m. Factor v(n).
4*n**2*(n - 2)*(n - 1)**2/5
Let j = 30 - 59/2. Determine a so that 1/4*a + 1/4*a**3 - j*a**2 + 0 = 0.
0, 1
Suppose 0 = -3*o + 1 + 5. Find g, given that -o + 1 - 5*g - 3*g**2 + 3 = 0.
-2, 1/3
Let w(y) be the second derivative of -1/60*y**5 - 2*y - y**2 + 0 + 0*y**3 + 0*y**4. Let p(f) be the first derivative of w(f). Factor p(c).
-c**2
Factor 3/7*r**2 - 3/7 + 0*r.
3*(r - 1)*(r + 1)/7
Let a be 2 + -1 + 5/(-30)*4. Factor 1/3*o**4 - o**2 + 5/3*o - a*o**3 - 2/3.
(o - 1)**3*(o + 2)/3
Let c(x) = x**3 - 7*x**2 - 3*x + 6. Let s be c(7). Let k = s - -15. Suppose 2/7*n**4 + 4/7*n**3 - 2/7 + k*n**2 - 4/7*n = 0. What is n?
-1, 1
Let p(m) be the second derivative of -m**5/40 - m**4/12 + m**3/12 + m**2/2 + m. Factor p(f).
-(f - 1)*(f + 1)*(f + 2)/2
Let d(z) = 2*z**2 - 5*z - 12. Let w be d(5). Let t = w + -11. Factor 3/4*k - 1/4*k**3 + 1/2 + 0*k**t.
-(k - 2)*(k + 1)**2/4
Let x(p) be the third derivative of 0 + 11/9*p**4 + 0*p + 121/90*p**5 - 3*p**2 + 4/9*p**3. Find z such that x(z) = 0.
-2/11
Let p(l) be the third derivative of -l**5/100 + 3*l**4/40 - l**3/5 + 42*l**2. Find i such that p(i) = 0.
1, 2
Let k(d) be the first derivative of 2*d**3/9 + 26*d**2/3 + 338*d/3 - 40. Find r such that k(r) = 0.
-13
Let b = 121/327 + -4/109. Let q(z) be the first derivative of -z**2 + z**4 - 8/3*z**3 + 4*z + 3 - b*z**6 + 4/5*z**5. Determine y so that q(y) = 0.
-1, 1, 2
Let p(j) be the first derivative of -1/3*j**3 + 0*j - 3 + 3/4*j**4 - j**2. Solve p(w) = 0.
-2/3, 0, 1
Let m = -1 - 0. Let q be 2/m + -8 + 10. Factor -l + q - 1/2*l**2.
-l*(l + 2)/2
Let l(i) = -3*i**3 - 10*i**2 + 16*i - 4. Suppose 0*o = -4*s - 3*o - 4, -3*s - 5*o = -8. Let g(p) = -p**3 - p**2 + p + 1. Let m(u) = s*g(u) + l(u). Factor m(r).
(r - 2)**3
Solve 0*g + 0 + g**4 - 1/2*g**5 + 0*g**2 + 0*g**3 = 0.
0, 2
Let x be ((-1)/10)/((-26)/52). Determine m, given that 1/5*m**2 + x + 2/5*m = 0.
-1
Let h(i) = 2*i**2 + 2*i. Let q(x) = -x**3 + 8*x**2 + 9*x. Let l(f) = 18*h(f) - 4*q(f). Solve l(r) = 0.
-1, 0
Solve -c**2 - 3*c + 3*c + 4*c - 3*c = 0 for c.
0, 1
Let i = -598522/39 - -15348. Let b = i - 8/13. Find v such that -b*v**2 + 0*v + 2/3 = 0.
-1, 1
Let y = 16 - 15. Factor 0*o - o - y - 2*o**2 + 0 + 2.
-(o + 1)*(2*o - 1)
Let u(n) = -14*n**4 + 32*n**3 - 26*n**2 - 21*n + 7. Let v(k) = -5*k**4 + 11*k**3 - 9*k**2 - 7*k + 2. Let t(z) = -4*u(z) + 11*v(z). What is o in t(o) = 0?
-1, 1, 6
Factor -1/3*p**5 + 2/3*p**4 + 0*p + 0 + p**3 + 0*p**2.
-p**3*(p - 3)*(p + 1)/3
Let y(a) = -10*a**3 - 24*a**2 + 24*a + 24. Let z(k) = 2*k**3 + 5*k**2 - 5*k - 5. Let d = 6 + -9. Let x(h) = d*y(h) - 14*z(h). Factor x(b).
2*(b - 1)*(b + 1)**2
Let h(m) be the first derivative of -7*m**5/110 + m**4/33 - m - 1. Let g(l) be the first derivative of h(l). Solve g(w) = 0.
0, 2/7
Let l(i) be the third derivative of -4/21*i**3 + 0*i - 1/42*i**5 + 1/420*i**6 - 2*i**2 + 2/21*i**4 + 0. Factor l(y).
2*(y - 2)**2*(y - 1)/7
Let g be (3 - 2) + (-1 - 0). Let d be (-8)/(-6)*135/36 - 1. Find x, given that -18/7*x**d + 2/7*x + 10/7*x**2 + 6/7*x**3 + g = 0.
-1/3, 0, 1
Let b(u) be the third derivative of u**6/480 - u**4/24 + 2*u**2. Determine c, given that b(c) = 0.
-2, 0, 2
Factor 0 - 3/2*n**4 + 9/2*n**3 + 0*n - 3*n**2.
-3*n**2*(n - 2)*(n - 1)/2
Let i(t) = -3*t**2 + 6. Let a(w) = 1. Let n(x) be the third derivative of -2*x**3/3 - 4*x**2. Let g(v) = -5*a(v) - n(v). Let z(j) = 3*g(j) + i(j). Factor z(p).
-3*(p - 1)*(p + 1)
Let h = -8 + 10. Find f, given that 2 - f**h + 2 - 2*f + 3 - 8 = 0.
-1
Let g = -678/5 + 136. Solve 2/5*f**2 - 4/5*f + 0 + g*f**3 = 0 for f.
-2, 0, 1
Let x(u) be the second derivative of -1/4*u**3 + 0*u**2 + 0 + 3*u + 1/16*u**4. Find o, given that x(o) = 0.
0, 2
Let c(i) = i**4 + i**3 + i**2 + i + 1. Let d(k) = -3*k**5 - 6*k**4 + 15*k**3 - 9*k**2 - 18*k + 6. Let l(z) = -3*c(z) - d(z). Find t such that l(t) = 0.
-3, -1, 1
Let r = 1603 + -192359/120. Let y(v) be the third derivative of 1/240*v**6 + 0*v**3 + 3*v**2 + 0*v + 0 + 0*v**4 - r*v**5. Determine m, given that y(m) = 0.
0, 1
Suppose -11*j = -17*j. Factor 1/3*d**2 + j - 1/3*d**3 + 0*d.
-d**2*(d - 1)/3
Let i(t) be the second derivative of t**7/280 - t**6/60 + 7*t**5/240 - t**4/48 + t**2/2 - 4*t. Let w(a) be the first derivative of i(a). Factor w(z).
z*(z - 1)**2*(3*z - 2)/4
Let r(c) be the first derivative of -c**6/90 + c**5/10 - 2*c**3/3 - 2. Let a(n) be the third derivat