 0. Solve c(j) = 0 for j.
-1/4, 2/5, 1
Let l(c) be the third derivative of c**6/60 + 7*c**5/15 + 49*c**4/12 + 36*c**2. Suppose l(g) = 0. What is g?
-7, 0
Let f be (-1 - 12/(-16))/((-15)/24). Let z(g) be the first derivative of 2/5*g**2 - 2/5*g + f*g**3 + 2. Solve z(v) = 0 for v.
-1, 1/3
Suppose 5*y - 31 = -3*d, -4*d + 13 = 4*y - 15. Let m(z) = z + 9. Let g be m(-6). Factor 5 + i**2 + 2*i**2 - y*i**2 - g.
-2*(i - 1)*(i + 1)
Suppose -j + 14 = 3*u, 4*j - 32 = -4*u - 0*u. Factor -f**4 + f**3 - 2*f**3 - 2*f**5 + f**2 + 0*f**2 + 3*f**j.
f**2*(f - 1)**2*(f + 1)
Let m(n) be the third derivative of 0 - 3*n**2 - n**4 - 1/105*n**7 + 0*n + 1/15*n**6 + 1/15*n**5 - 3*n**3. Find k, given that m(k) = 0.
-1, 3
Let k(o) be the second derivative of o**6/21 - 3*o**5/70 - o**4/21 - 9*o. Let k(y) = 0. Calculate y.
-2/5, 0, 1
Let o(c) be the first derivative of 2*c**5/35 + 3*c**4/7 + 16*c**3/21 - 28. Find g such that o(g) = 0.
-4, -2, 0
Let p(j) be the third derivative of 15*j**5/4 + 5*j**4/2 + 2*j**3/3 - 37*j**2. What is q in p(q) = 0?
-2/15
Let b = -1 - -3. Let f be 1*2 + b/2. Factor 1/5 - 1/5*p - 1/5*p**2 + 1/5*p**f.
(p - 1)**2*(p + 1)/5
Suppose 5*j + 20 + 5 = 0. Let w = 8 + j. Factor -2 - 5*q**w - q**3 + 2*q**2 + 4*q**3 + 2*q.
-2*(q - 1)**2*(q + 1)
Suppose 0*b = b - 15. Let a be b/6*(-24)/(-15). Solve -4*f**2 - 4/5*f - 6*f**a - 37/5*f**3 - 9/5*f**5 + 0 = 0 for f.
-1, -2/3, 0
Suppose g + 3*g = 4. Factor -m - m**2 + m + m + g + 1.
-(m - 2)*(m + 1)
Let t(p) be the second derivative of p**9/21168 - p**7/5880 + 5*p**3/6 - 4*p. Let o(s) be the second derivative of t(s). Factor o(n).
n**3*(n - 1)*(n + 1)/7
Let m(b) be the first derivative of 0*b**2 + 1/18*b**6 - 1/15*b**5 + 1/9*b**3 + 0*b - 1/12*b**4 + 2. Solve m(l) = 0 for l.
-1, 0, 1
Let c(y) be the second derivative of 1/108*y**4 + 0 + 0*y**3 + 3*y - 1/270*y**5 + 1/2*y**2. Let a(z) be the first derivative of c(z). What is i in a(i) = 0?
0, 1
Let r(u) = u**2 + 6*u - 7. Let j be r(-7). Let b(z) be the second derivative of j*z**2 + 0 - 1/12*z**4 - 3*z + 1/3*z**3. Factor b(h).
-h*(h - 2)
Let g(h) be the first derivative of -h**7/210 - h**6/60 + h**4/12 + h**3/6 + h**2/2 - 5. Let b(p) be the second derivative of g(p). Factor b(m).
-(m - 1)*(m + 1)**3
Let r = 11/63 - -1/9. Solve 0 + 4/7*u**2 + 0*u + r*u**3 = 0.
-2, 0
Suppose -v + 3*c = 5 + 5, -5*v - 5*c = -30. Factor -2/3 - 1/3*i**v - i.
-(i + 1)*(i + 2)/3
Suppose u = 14 + 2. Suppose 4*s + p + 5 = u, s - 1 = -2*p. Let -3*w + 2 + 0*w**3 - 4*w**3 + 5*w**s = 0. Calculate w.
-2, 1
Suppose -8*i + 13*i - 10 = 0. Let s = 7 - 4. Solve 0 + d**2 - d**s + d**2 - 4 + d**i = 0.
-1, 2
Factor -1/4*p**5 - 1/2*p**3 - 3/4*p**4 + 0*p**2 + 0*p + 0.
-p**3*(p + 1)*(p + 2)/4
Suppose 4*n - 49 - 15 = -5*w, -5*n - 7 = -w. Suppose 5*d - w = -2. Suppose -3*u**4 + u**2 + u**4 + u**2 - d*u**3 + 2*u = 0. What is u?
-1, 0, 1
Suppose -3*p = -2*p - 3. Determine a so that -2*a**4 + a**5 + 4*a**2 - 2 + 2*a + 4*a**5 - 3*a**5 - 4*a**p = 0.
-1, 1
Suppose -32 = -5*j - 12. Factor -x**j + 3*x**4 - 3*x**4.
-x**4
Let p be -2 + (2 - 3) - -10. Let f(t) = 5*t**2 - 5*t - 3. Let n(r) = 3*r**2 - 3*r - 2. Let a(j) = p*n(j) - 4*f(j). Determine h so that a(h) = 0.
-1, 2
Let d(y) = y**3 - 4*y**2 - 5. Let l be d(4). Let c be (-2)/l + 12/(-105). Find q, given that 0*q + 0*q**3 - c*q**4 + 0 + 0*q**2 = 0.
0
Suppose -60 = -3*g - 2*g. Suppose c - 16 = 5*s - 3*c, -s - 3*c + g = 0. Solve 2/13*t**2 - 2/13*t**4 + 2/13*t**3 + s - 2/13*t = 0.
-1, 0, 1
Let q(x) be the third derivative of x**8/2352 - x**7/490 + x**6/280 - x**5/420 + 16*x**2. Factor q(u).
u**2*(u - 1)**3/7
Let o(h) be the third derivative of h**8/84 + 2*h**7/35 + h**6/15 - 2*h**5/15 - h**4/2 - 2*h**3/3 + 10*h**2. Suppose o(k) = 0. What is k?
-1, 1
Factor -5*p**3 - 13 + 2*p**4 + 9 - 2*p**3 + p**3 + 6*p + 2*p**2.
2*(p - 2)*(p - 1)**2*(p + 1)
Suppose 5*g - 6 = 2*g. Factor -m**g - 2*m + m + 4*m**2 - 8*m.
3*m*(m - 3)
Let g(w) be the second derivative of -w**8/6720 + w**7/1260 - w**6/720 - w**4/4 - 2*w. Let u(m) be the third derivative of g(m). Factor u(b).
-b*(b - 1)**2
Factor 1/4*k**2 + 0 + k.
k*(k + 4)/4
Factor -33/4*b + 3/2 - 21/4*b**3 + 12*b**2.
-3*(b - 1)**2*(7*b - 2)/4
Let g(h) be the third derivative of -4/3*h**3 + 0*h + 0 + 7*h**2 + 7/15*h**5 + 5/6*h**4. Factor g(p).
4*(p + 1)*(7*p - 2)
Let t = -2346 + 11833/5. Let q = 21 - t. Factor q*w**3 + 0 + 0*w + 0*w**2.
2*w**3/5
Let v(t) = 2*t**3 + 11*t**2 + 37*t - 5. Let c(l) = -l**3 - 6*l**2 - 18*l + 2. Let x(m) = -15*c(m) - 6*v(m). Factor x(y).
3*y*(y + 4)**2
Factor -4*h - 4 + 2*h**3 - 2*h + 0*h.
2*(h - 2)*(h + 1)**2
Let b(x) be the first derivative of -3*x**4/4 - 3*x**3 + 12*x - 28. Determine m so that b(m) = 0.
-2, 1
Let p(l) = 2*l**2 + 3*l. Let r be p(-2). Let u(b) = 2*b - 2. Let v be u(r). Let 4*c - v*c**2 + 0*c + c**2 - 3*c = 0. Calculate c.
0, 1
Let w = 328 - 326. Factor 0*x**w - 2/7*x**3 + 4/7*x**4 + 0*x + 0 - 2/7*x**5.
-2*x**3*(x - 1)**2/7
Let f(c) be the third derivative of c**6/420 - c**5/70 + 4*c**3/21 + 3*c**2. Find m such that f(m) = 0.
-1, 2
Let o(z) be the second derivative of -1/15*z**6 + 0*z**5 + 0*z**2 + 0*z**3 + 0 + 2/9*z**4 - 1/63*z**7 - 4*z. Let o(x) = 0. Calculate x.
-2, 0, 1
Suppose -5*r - y = -14, 2*y = -y - 3. Let h(x) be the second derivative of x + 1/15*x**r + 1/30*x**4 - 1/50*x**5 + 0 - 1/5*x**2. Suppose h(z) = 0. What is z?
-1, 1
Let l(c) = -c**3 + 4*c - 4. Let t(r) = -5. Let v(d) = 1. Let h(i) = -2*t(i) - 11*v(i). Let p(x) = -4*h(x) + l(x). Find a such that p(a) = 0.
-2, 0, 2
Let k = 0 + 5. Suppose 0 = -5*o + 3*u + 5 + 22, 0 = k*o - u - 19. Determine w so that -2*w**4 - 3*w**o + 2*w**2 + 2*w + w**3 + 0*w**4 + 0*w**2 = 0.
-1, 0, 1
Let u = -75783/1501 - -960/19. Let q = u + 307/237. Factor q*r**3 - 4/3*r + 0 + 2*r**2.
2*r*(r + 2)*(2*r - 1)/3
Let x = 11 - 9. Let -5*t + 0*t**5 - 2*t**2 - x - 5*t**2 + 5*t**2 + t**5 + 4*t**3 + 4*t**4 = 0. What is t?
-2, -1, 1
Suppose 7 = p + w, 5 = w + 1. Factor 1/2*a**p + a**2 + 0 + 1/2*a.
a*(a + 1)**2/2
Suppose 4 = h - 3. Factor -t**3 + h*t**3 - 2*t - 21*t**2 - 4*t + 0*t**4 + 21*t**4.
3*t*(t - 1)*(t + 1)*(7*t + 2)
Let t be (2 - 7)*(-2)/5. Suppose 0 = t*q - 2 - 2. Factor -q + 4*j**2 - 2*j + 2 - j**2 - j**3.
-j*(j - 2)*(j - 1)
Let o(q) be the first derivative of q**4/2 + 4*q**3 + 12*q**2 + 16*q - 13. Determine a so that o(a) = 0.
-2
Suppose 20 = -4*z - 132. Let w = z - -116/3. Suppose -w*k**5 - 4/3*k**4 + 5/6*k**2 - 1/6*k**3 + 1/6*k - 1/6 = 0. What is k?
-1, 1/2
Let u be 4/3*(-12)/(-8). Factor 20*w**2 + w**3 + 10*w**3 + 10*w**4 + 2*w**5 + 9*w**3 + u + 10*w.
2*(w + 1)**5
Let v(n) = n + 9. Let j be v(-4). Let q(u) be the second derivative of -2/3*u**4 + 0 - 4/5*u**j + 2*u + 0*u**2 - 1/6*u**3. Solve q(z) = 0.
-1/4, 0
Let t(z) be the first derivative of 0*z - 1/9*z**3 + 1/6*z**2 + 2. Factor t(g).
-g*(g - 1)/3
Let t = 3 + -6. Let a = t - -5. Factor 0*b - 3*b**a - b**2 + 2*b + 2*b**3.
2*b*(b - 1)**2
Let a = -68039/120 + 567. Let f(s) be the third derivative of 0*s + 0*s**3 + s**2 - 1/96*s**4 - 1/480*s**6 + 0 + a*s**5. Factor f(i).
-i*(i - 1)**2/4
Let j(b) = b**2 - 5*b + 2. Let q be j(5). Let l(i) be the second derivative of -i + 1/5*i**3 + 0*i**4 + 0 - 3/10*i**q - 3/50*i**5 + 1/50*i**6. Factor l(u).
3*(u - 1)**3*(u + 1)/5
Let o(g) be the third derivative of -g**5/270 - g**4/54 - g**3/27 + 6*g**2. Determine i so that o(i) = 0.
-1
Let h(q) be the second derivative of q**7/42 + q**6/6 + 3*q**5/10 - q**4/3 - 4*q**3/3 + 4*q. Factor h(g).
g*(g - 1)*(g + 2)**3
Let n be (-3)/(0 + (-6)/4). Factor 6 - g**4 + 2 + 3*g**n + g**3 - 6 - 5*g.
-(g - 1)**3*(g + 2)
Let t(s) be the first derivative of -1/5*s - 1 + 1/15*s**3 + 0*s**2. Find z such that t(z) = 0.
-1, 1
Let f be (-2)/3*3/1. Let n = 1 - f. Let -h**2 - 2*h + 4*h + 2*h**4 - 5*h**2 - 2*h**n + 4*h**2 = 0. What is h?
-1, 0, 1
Let n(k) be the second derivative of k**5/150 - k**3/15 - 2*k**2/15 + 2*k. Solve n(u) = 0 for u.
-1, 2
Let d = -12 + 11. Let b be (-26)/(-24) + d/(-4). What is i in -b + 2*i**2 + 10/3*i = 0?
-2, 1/3
Suppose 4*t = 3*t. Let a(d) be the third derivative of 1/3*d**3 + 0*d - 5/12*d**4 + t - d**2 + 4/15*d**5 - 1/15*d**6. Factor a(y).
-2*(y - 1)*(2*y - 1)**2
Solve -12*f**2 + 26*f**4 - 14*f**4 - 6*f**3 + 2*f**3 - 4*f**5 + 8*f = 0 for f.
-1, 0, 1, 2
Let y(m) be the third derivative of -m**5/180 - m**4/12 - m**3/2 + 4*m**