 - 2/9*t + 0 = 0?
0, 1
Let s be (-1)/((-2 + 3)/(-6)). Suppose -5 = h - s*h. Factor -12*f**2 - 7*f**3 + 3 + h - 3*f - 2.
-(f + 1)**2*(7*f - 2)
Let t(x) = 25*x**4 - 25*x**3 - 145*x**2 + 335*x - 120. Let j(u) = -2*u**4 + 2*u**3 + 12*u**2 - 28*u + 10. Let f(q) = -35*j(q) - 3*t(q). Factor f(n).
-5*(n - 1)**3*(n + 2)
Let y(x) be the second derivative of x**7/210 - x**5/25 + x**4/30 + x**3/10 - x**2/5 - 16*x. Factor y(l).
(l - 1)**3*(l + 1)*(l + 2)/5
Let d = 14 + -9. Solve d*a**3 + a - 6*a**2 - 2*a**3 + 2*a**2 = 0.
0, 1/3, 1
Let z(q) be the first derivative of q**4/6 + q**3/9 - q**2/3 - q/3 - 3. Factor z(p).
(p - 1)*(p + 1)*(2*p + 1)/3
Suppose -2 = -3*k - 23. Let o(h) = h**3 + 8*h**2 + 7*h + 3. Let b be o(k). Factor i**3 + b*i + 2*i**4 - 3*i - 3*i**3.
2*i**3*(i - 1)
Let q = 6546/5 + -1305. Let 0*n - 27/5*n**3 - 6/5*n**2 + 0 - q*n**4 = 0. What is n?
-1, -2/7, 0
Find j such that 0 + 2/5*j**5 + 2*j**2 - 6/5*j**3 - 4/5*j - 2/5*j**4 = 0.
-2, 0, 1
Let q(t) be the second derivative of -t**8/40320 + 5*t**4/12 - 4*t. Let s(a) be the third derivative of q(a). Factor s(o).
-o**3/6
Determine n so that -12/5*n**3 + 4/5*n**2 + 0 + 0*n = 0.
0, 1/3
Let j(t) be the third derivative of t**8/224 + 3*t**7/140 + t**6/40 - t**5/20 - 3*t**4/16 - t**3/4 - 20*t**2. Suppose j(i) = 0. What is i?
-1, 1
Let y be (-104)/(-6)*87/290 - 4. Let -4/5 - y*a - 2/5*a**2 = 0. What is a?
-2, -1
Let c(l) be the third derivative of 1/72*l**4 + 0*l + 1/360*l**6 - 5*l**2 + 0 + 1/90*l**5 + 0*l**3. Factor c(s).
s*(s + 1)**2/3
Factor 7/2*g**2 + 0 + g + 5/2*g**4 + 9/2*g**3 + 1/2*g**5.
g*(g + 1)**3*(g + 2)/2
Let s(b) = -4 + 6*b**2 - 7*b - 3 + 3 + 0. Let z = 2 + -1. Let t(w) = w**2 - w - 1. Let u(k) = z*s(k) - 5*t(k). Suppose u(n) = 0. Calculate n.
1
Let x(r) = -r**2 - 4*r - 3. Let i = -14 - -20. Let n be (i/9)/((-2)/(-6)). Let j(p) = p**2 + 3*p + 2. Let g(l) = n*x(l) + 3*j(l). Determine s so that g(s) = 0.
-1, 0
Let o(c) be the third derivative of -c**8/30240 - c**7/3780 - c**6/1080 - c**5/20 - 6*c**2. Let h(m) be the third derivative of o(m). Factor h(w).
-2*(w + 1)**2/3
Let l(g) be the first derivative of -3 - 1/5*g**2 + 1/5*g - 1/25*g**5 + 1/10*g**4 + 0*g**3. Factor l(f).
-(f - 1)**3*(f + 1)/5
Let f(g) be the first derivative of -2*g**6/3 + 4*g**5 - 4*g**4 + 66. What is d in f(d) = 0?
0, 1, 4
Suppose 8 = -2*m - 2*m. Let h be 35/84 - m/(-12). Factor 0 + h*z**2 + 0*z + 1/2*z**3.
z**2*(2*z + 1)/4
Let a(h) = -h**4 - h**3 - h**2. Let d(z) = 9*z**4 - 168*z**3 + 1260*z**2 - 504*z - 588. Let g(v) = 3*a(v) + d(v). Find l such that g(l) = 0.
-1/2, 1, 14
Let g(x) be the first derivative of -4*x**3 + 13*x**3 - 5*x**3 + 7 + 2*x - 8*x**2 + 2*x. Suppose g(t) = 0. What is t?
1/3, 1
Determine c, given that -11/4*c**2 - 25/4 + 1/4*c**3 + 35/4*c = 0.
1, 5
Let i(l) = -l**2 - 10*l - 8. Let q be i(-8). Let f(t) = -t**2 + 11*t - 4. Let u(a) = -4*a**2 + 32*a - 12. Let g(c) = q*f(c) - 3*u(c). Find n such that g(n) = 0.
1
Suppose 4*b = 22 - 2. Suppose q + 0*l = -l - 1, q - 15 = 3*l. Factor 0 - 1/4*c**b + 1/4*c**2 + 0*c + 1/4*c**q - 1/4*c**4.
-c**2*(c - 1)*(c + 1)**2/4
Let l be 24/110 - (2 + 96/(-44)). Determine b so that -2/5*b**2 - l*b**5 + 0*b + 2/5*b**4 + 0 + 2/5*b**3 = 0.
-1, 0, 1
Factor 5/2*k**3 - 1/2*k - 1/2*k**2 - 3/2*k**4 + 0.
-k*(k - 1)**2*(3*k + 1)/2
Let o(u) be the third derivative of -1/420*u**5 + 0*u - 1/2352*u**8 - 1/490*u**7 - 1/280*u**6 + 0 - 7*u**2 + 0*u**3 + 0*u**4. Factor o(l).
-l**2*(l + 1)**3/7
Let u(j) be the second derivative of -j**6/60 - j**5/40 + j**4/24 + j**3/12 + 6*j. Factor u(l).
-l*(l - 1)*(l + 1)**2/2
Let p be (1 + 1)*1/10. Let h(s) be the first derivative of -1/25*s**5 - 3 - p*s**4 + 2/5*s**2 - 1/5*s**3 + 4/5*s. Factor h(m).
-(m - 1)*(m + 1)*(m + 2)**2/5
Suppose k + 6 = -2*k. Let a be (-7)/((-1)/k*-2). Factor -7 + v + v**2 + a.
v*(v + 1)
Let v(b) = -b**3 - b**2 - b + 1. Let t(l) = -l**4 - 10*l**3 - 8*l**2 - 8*l + 9. Let u be (18/4)/((-2)/(-8)). Let k(o) = u*v(o) - 2*t(o). What is z in k(z) = 0?
-1, 0, 1
Let z be (2/(-3))/(2/(-6)). Let x(o) be the third derivative of 0 - 1/120*o**5 + o**z + 1/48*o**4 + 1/6*o**3 + 0*o. Factor x(t).
-(t - 2)*(t + 1)/2
Let o be (-8)/10*15/2. Let l(z) = -z - 4. Let s be l(o). Find n, given that 1/3 + 7/3*n**s - n**3 - 5/3*n = 0.
1/3, 1
Let j(v) be the third derivative of v**5/20 + v**4/8 - 22*v**2. Solve j(r) = 0.
-1, 0
Let f = -160 - -162. Factor 2/7*h - 2/7*h**3 + 2/7*h**f - 2/7*h**4 + 0.
-2*h*(h - 1)*(h + 1)**2/7
Let 21*d**5 - 6*d**2 - 39*d - 6*d - 21*d**4 + 27 + 42*d**3 - 18*d**5 = 0. What is d?
-1, 1, 3
Factor 0 + 2/9*p**2 + 2/9*p.
2*p*(p + 1)/9
Let l(f) be the second derivative of -5*f**4/42 + 8*f**3/21 + 4*f**2/7 - 6*f. Factor l(o).
-2*(o - 2)*(5*o + 2)/7
Suppose 2 - 5 = -v. Solve 2*y**5 + 99*y**v - 100*y**3 - y**5 = 0.
-1, 0, 1
Let b(w) = w**3 - w + 1. Let c(n) = 2*n**5 + 2*n**4 + 6*n**3 - 4*n**2 - 8*n + 12. Let x(f) = -10*b(f) + c(f). Let x(u) = 0. What is u?
-1, 1
Let t(c) = -c - 8. Let n be t(-8). Factor -4*s + 2*s + n*s - s**4 + 0*s + 3*s**2.
-s*(s - 1)**2*(s + 2)
Let d(v) be the first derivative of -v**6/33 - 12*v**5/55 - 13*v**4/22 - 8*v**3/11 - 4*v**2/11 - 7. Factor d(h).
-2*h*(h + 1)**2*(h + 2)**2/11
Let l be (27/(-63))/((-1)/7). Factor l - 2*x + 4 - 3 - 2*x**2 + 0.
-2*(x - 1)*(x + 2)
Let q(o) be the first derivative of -2 - 1/6*o**2 + 1/60*o**5 + 1/36*o**4 - 1/18*o**3 - 3*o. Let u(b) be the first derivative of q(b). Factor u(t).
(t - 1)*(t + 1)**2/3
Let y(u) be the second derivative of 0*u**4 + 6*u + 0*u**6 + 0*u**3 + 0*u**2 - 1/21*u**7 + 0 + 1/10*u**5. Let y(f) = 0. What is f?
-1, 0, 1
Let w be (-2)/4 + 25/10. Suppose -z + 6*z = 10. Factor -3*v**w - z*v**3 - 3*v**2 + 4*v**2.
-2*v**2*(v + 1)
Let m(w) = 17*w**2 + 16*w + 3. Let f(x) = 8*x**2 + 8*x + 2. Let z(d) = 13*f(d) - 6*m(d). Factor z(r).
2*(r + 2)**2
Let q = -17/9 + 113/36. Let z = q + -1. Suppose -z - 1/4*r**2 - 1/2*r = 0. Calculate r.
-1
Let k(h) be the second derivative of -h**5/20 + h**4/12 + h**3/3 + 2*h. Determine w so that k(w) = 0.
-1, 0, 2
Let a(o) be the third derivative of o**7/3780 - o**5/540 - 5*o**3/6 - 3*o**2. Let u(s) be the first derivative of a(s). Determine k, given that u(k) = 0.
-1, 0, 1
Factor -5*x**2 + 2*x**2 - 2*x + 2*x**3 - x**2 + 4*x.
2*x*(x - 1)**2
Let j(v) be the second derivative of 0 - 5*v + 0*v**2 + 1/15*v**3 + 1/60*v**4. Solve j(q) = 0.
-2, 0
Solve 0*o + 2/3*o**4 + 0 - 5/3*o**3 + 2/3*o**2 = 0.
0, 1/2, 2
Suppose -2*p = -1 - 3. Factor 3*n**3 + 4*n**4 + 0*n**4 - p*n**3 + 0*n**3.
n**3*(4*n + 1)
Factor 16 - 186*g - 4*g**2 + 186*g.
-4*(g - 2)*(g + 2)
Let a(z) be the second derivative of -z**7/420 + z**6/180 + z**4/12 + 4*z. Let m(i) be the third derivative of a(i). Solve m(w) = 0 for w.
0, 2/3
Let k = 101/9 - 11. Determine u so that 2/9*u**2 + 2/9*u**3 + 0 - k*u - 2/9*u**4 = 0.
-1, 0, 1
Let k(d) = 4*d + 23. Let q be k(-5). Let u(n) be the first derivative of 0*n + q + n**2 - 1/3*n**3. Suppose u(r) = 0. What is r?
0, 2
Let l(j) = j**3 + 8*j**2 + 7*j. Let g(m) = m**3 + 3*m**2 + m - 4. Let u be g(-3). Let q be l(u). Factor -1/5*o**2 + 0 + q*o - 1/5*o**4 - 2/5*o**3.
-o**2*(o + 1)**2/5
Let o(n) be the first derivative of 0*n + 0*n**2 - 3 - 1/12*n**4 - 1/9*n**3. Factor o(k).
-k**2*(k + 1)/3
Let a(s) be the first derivative of -7*s**4/8 - 5*s**3/6 + 4*s**2 - 2*s - 14. Factor a(q).
-(q - 1)*(q + 2)*(7*q - 2)/2
Let o(q) be the third derivative of -q**5/360 + q**4/144 + q**3/6 - 9*q**2 - 3. Factor o(i).
-(i - 3)*(i + 2)/6
Let c(m) be the second derivative of 1/48*m**4 + 1/80*m**5 + 0*m**2 + 0 - 2*m - 1/12*m**3. Suppose c(z) = 0. What is z?
-2, 0, 1
Let c(q) be the first derivative of -q**6/105 - q**5/70 + q**4/42 + q**3/21 - q + 2. Let b(p) be the first derivative of c(p). What is y in b(y) = 0?
-1, 0, 1
Let c(t) be the second derivative of t**4/90 + 4*t**3/45 - t**2/3 + 32*t. Factor c(b).
2*(b - 1)*(b + 5)/15
Let f(m) = m**3 - 120*m**2 - 2394*m - 15997. Let r(d) = -2*d**3 + 120*d**2 + 2392*d + 15996. Let o(x) = -4*f(x) - 3*r(x). Suppose o(h) = 0. Calculate h.
-20
Let b(f) be the first derivative of f**5/5 - f**3 + f**2 + 3. Factor b(m).
m*(m - 1)**2*(m + 2)
Let n be 38/(-14) - (-216)/72. Find q, given that -2/7*q**3 + 2/7*q + 2/7 - n*q**2 = 0.
-1, 1
Let p(h) be the second derivative of -h**5/110 - 5*h**4/66 - 8*h**3/33 - 4*h**2/11 + 3*h. Find k, given that p(k) = 0.
-