r 0 - 15/2*o**4 + 9/2*o**5 + 0*o + 3*o**3 + 0*o**2.
3*o**3*(o - 1)*(3*o - 2)/2
Suppose 0 = -5*v - 3*j + 32, 0*v = 5*v + 4*j - 36. Let b(u) = 2*u - 4. Let c be b(v). Solve -r + 0*r**c - 3*r**2 + 0*r + 2*r**2 + r**3 + r**4 = 0 for r.
-1, 0, 1
Let x(m) = -12*m**4 + 12*m**3 + 12*m**2 - 3*m. Let g(q) = -3*q**4 + 3*q**3 + 3*q**2 - q. Let p(n) = -9*g(n) + 2*x(n). Factor p(z).
3*z*(z - 1)**2*(z + 1)
Find l, given that 0*l + 4/5 - 1/5*l**2 = 0.
-2, 2
Factor -1/3*m**4 + 0 + 1/3*m - m**2 + m**3.
-m*(m - 1)**3/3
Let y(m) be the third derivative of -m**5/48 - 5*m**4/96 + 5*m**3/12 - 23*m**2. Let y(c) = 0. What is c?
-2, 1
Let l(o) be the first derivative of o**6/30 + o**5/10 - o**4/4 - 2*o**3/3 + 11*o**2/2 + 7. Let r(x) be the second derivative of l(x). Factor r(y).
2*(y - 1)*(y + 2)*(2*y + 1)
Let z = 77 - 75. Let o(i) be the second derivative of 0 - 1/8*i**4 + 3/4*i**z - 7/8*i**3 + 2*i + 21/80*i**5. Factor o(u).
3*(u - 1)*(u + 1)*(7*u - 2)/4
Let f(p) be the second derivative of -p**8/5040 - p**7/2520 + p**3/6 + 3*p. Let b(i) be the second derivative of f(i). Factor b(k).
-k**3*(k + 1)/3
Let n(g) be the third derivative of -g**7/210 + g**6/40 - g**5/60 - g**4/8 + g**3/3 - 5*g**2 - 3*g. Factor n(h).
-(h - 2)*(h - 1)**2*(h + 1)
Let y(u) = 3 + 2*u + 2*u**4 - 5*u**3 - 2*u**2 + 2*u - 2*u. Let v(t) = -t**3 + 1. Let m(x) = 3*v(x) - y(x). Solve m(z) = 0.
-1, 0, 1
Determine k, given that 25/3*k**2 + 0 - 10*k - 5/3*k**3 = 0.
0, 2, 3
Let z(l) be the second derivative of l**8/26880 + l**7/10080 + l**4/3 + 4*l. Let x(b) be the third derivative of z(b). Factor x(y).
y**2*(y + 1)/4
Factor 4/5*b**2 - 4*b + 24/5.
4*(b - 3)*(b - 2)/5
Let b(g) be the first derivative of -g**3/12 - 11*g**2/8 + 3*g + 49. Factor b(h).
-(h - 1)*(h + 12)/4
Factor -3*v**2 - v + 6*v**2 + 10*v - 6*v**2.
-3*v*(v - 3)
Suppose 7*h - 4*h - 21 = 0. Suppose 2*i = w - h, 2*w - 3*w + i = -5. Determine y so that 0*y + 1/4*y**w + 0*y**2 + 0 - 1/4*y**5 + 0*y**4 = 0.
-1, 0, 1
Let c(l) be the second derivative of -l**6/135 - l**5/90 + l**4/18 + 5*l**3/27 + 2*l**2/9 - 19*l. Factor c(v).
-2*(v - 2)*(v + 1)**3/9
Suppose 8 = -3*d + 32. Suppose d = 7*i - 3*i. Find k, given that 2*k - k**2 - k**3 + k**i - k**3 + 2*k**2 - 2 = 0.
-1, 1
Let j(l) be the third derivative of 25*l**8/48 + 37*l**7/21 - 31*l**6/24 - 41*l**5/6 - 5*l**4/6 + 20*l**3/3 - 11*l**2. Let j(o) = 0. Calculate o.
-2, -1, -2/5, 2/7, 1
Let g(z) be the second derivative of z**5/60 - 7*z**4/36 - z**3/18 + 7*z**2/6 + 3*z - 4. Factor g(l).
(l - 7)*(l - 1)*(l + 1)/3
Factor -9/5 - 3/5*s**2 + 12/5*s.
-3*(s - 3)*(s - 1)/5
Suppose 0 = 5*i - 6*i + 2. What is u in u + 3*u**4 + 3 + u - i*u - 6*u**2 = 0?
-1, 1
Let v(x) = -4*x**2 + 11*x - 3. Let q be 9/(-6) + 6/(-4). Let m(p) = -4*p**2 + 12*p - 4. Let y(d) = q*m(d) + 4*v(d). Find s such that y(s) = 0.
0, 2
Suppose 60 = 4*a + a. Suppose 2 = -2*n + a. Let -1/4*m + 1/2*m**3 - 1/4*m**n + 1/4 + 1/4*m**4 - 1/2*m**2 = 0. What is m?
-1, 1
Let i(k) be the third derivative of -k**5/100 - k**4/15 - 2*k**3/15 - 3*k**2. Let i(z) = 0. What is z?
-2, -2/3
Suppose 4*v = -4*f - 17 - 15, 0 = 4*v + 2*f + 28. Let r be 4 - v/15 - 4. Factor -8/5*l**3 - 8/5*l - r*l**4 - 12/5*l**2 - 2/5.
-2*(l + 1)**4/5
Let r(w) = -w + 8. Let h be r(6). Factor 9*q**3 + q**5 + 3*q + 12*q**4 + 4*q**5 + 2*q**h - 3*q.
q**2*(q + 1)**2*(5*q + 2)
Suppose 5*v - 16 = -5*q + v, v = -5*q + 19. What is l in -3*l**2 + l**3 + 3*l**q + l - 6*l + 0*l**4 + l**5 + 3*l = 0?
-2, -1, 0, 1
Let t = -2/39 - -11/130. Let g(h) be the second derivative of 0*h**3 - h - t*h**6 + 0 + 1/20*h**5 + 0*h**2 + 0*h**4. Factor g(w).
-w**3*(w - 1)
Let t(i) be the second derivative of i**2 + 1/2*i**3 + 2*i + 0 + 0*i**4 - 1/20*i**5. Factor t(p).
-(p - 2)*(p + 1)**2
Let n(x) be the third derivative of x**7/210 - x**5/20 - x**4/12 + 5*x**2. Factor n(j).
j*(j - 2)*(j + 1)**2
Let o(a) be the first derivative of 25*a**6/3 + 8*a**5 + 2*a**4 + 3. Factor o(m).
2*m**3*(5*m + 2)**2
Factor -2*v - 5*v**2 + 5*v**2 + 3*v - v**2.
-v*(v - 1)
Let w(j) = -j**2 - 6*j + 7. Let v be w(-7). Let i = v + 1/4. Suppose 1/4*h**2 + 1/2*h**3 - i*h**4 + 0 - 1/2*h = 0. What is h?
-1, 0, 1, 2
Let d(j) be the second derivative of 1/12*j**3 - 1/40*j**5 + 0*j**2 + 0 - 1/24*j**4 + 1/60*j**6 + 4*j. Let d(l) = 0. What is l?
-1, 0, 1
Let p(l) be the second derivative of 0*l**3 + 0*l**5 + 9*l - 2/3*l**2 - 1/90*l**6 + 0 + 5/36*l**4. Determine k so that p(k) = 0.
-2, -1, 1, 2
Let k(g) = -g. Let z be k(-4). Factor 11*s**3 + 10*s**2 - s - 3*s - s**3 + z*s**2 - 8*s**4.
-2*s*(s - 2)*(s + 1)*(4*s - 1)
Let p = -140 - -59. Let w = -403/5 - p. Factor -w - 4/5*b - 2/5*b**2.
-2*(b + 1)**2/5
Let m(h) be the second derivative of h**6/10 - 3*h**5/4 + 2*h**4 - 2*h**3 - 12*h. What is o in m(o) = 0?
0, 1, 2
Let i(o) be the second derivative of -1/12*o**4 + 3*o + 0 + 1/2*o**2 + 0*o**3. What is q in i(q) = 0?
-1, 1
Suppose 5*a = 3*f + 6, -2*a + 2 = -4*f + 8. Suppose -a*v**3 + v + 2*v + 18*v**2 - 18*v**2 = 0. What is v?
-1, 0, 1
Let c(y) be the third derivative of y**8/192 - 2*y**7/105 + y**6/120 + 7*y**5/120 - 11*y**4/96 + y**3/12 + 7*y**2. Find r such that c(r) = 0.
-1, 2/7, 1
Let j(h) = -h + 1. Let o(c) = -c**2 - 9*c + 3. Let s be o(-9). Suppose -s = -5*f - 13. Let k(t) = -t**2 + 15*t - 15. Let v(q) = f*k(q) - 22*j(q). Factor v(y).
2*(y - 2)**2
Determine w so that 1/4*w**4 + 1/4*w**2 + 1/2*w**3 + 0 + 0*w = 0.
-1, 0
Factor 10 - 4*v - 3*v**2 + 5*v**2 - 8.
2*(v - 1)**2
Let j = -279 + 299. Factor -88/9*p - 16/9 - j*p**2 - 18*p**3 - 6*p**4.
-2*(p + 1)*(3*p + 2)**3/9
Let k be (236/(-4130))/(1/(-21)). Factor 3/5*t**2 + 9/5*t + k.
3*(t + 1)*(t + 2)/5
Let k(g) = -g**3 + g**2 + g + 2. Let h be k(0). Factor 5*u - 1 - 12*u**3 - 14*u**h - 3 + 13*u.
-2*(u + 2)*(2*u - 1)*(3*u - 1)
Factor -2/11*k + 0*k**2 + 2/11*k**3 - 1/11*k**4 + 1/11.
-(k - 1)**3*(k + 1)/11
Let x = 0 + 4. Let l be 21/36 + (-3)/12. Factor -1/3 - 4/3*o**3 - 2*o**2 - 4/3*o - l*o**x.
-(o + 1)**4/3
Determine i, given that 2 - 2 + 5 - 4*i + 3*i**2 - 4 = 0.
1/3, 1
Suppose 25 = 6*t - t. Solve t*r**2 - r**2 - 6*r + 3*r - r**2 = 0.
0, 1
Find j, given that -2/9*j - 2*j**3 + 0 + 4/3*j**2 = 0.
0, 1/3
Let o(c) be the first derivative of -c**5/80 + 3*c**4/32 - c**3/4 - 9*c**2/2 + 4. Let r(s) be the second derivative of o(s). Suppose r(u) = 0. Calculate u.
1, 2
Let u(f) be the second derivative of 0 + 1/9*f**2 + 1/54*f**4 - f + 2/27*f**3. Factor u(h).
2*(h + 1)**2/9
Let p(l) = l**3 + 3*l**2 - 5*l - 2. Let c be p(-4). What is f in 2*f**2 + 2*f**3 + 4*f**c - 17*f**3 + 9*f**4 + 0*f**2 = 0?
0, 2/3, 1
Let i(v) be the third derivative of -v**7/210 + v**6/60 + v**5/15 - v**4/12 - v**3/2 + v**2. Determine p, given that i(p) = 0.
-1, 1, 3
Let i be (-18)/21*(-70)/135. Let w be 6*2/4 - 3. Factor i*h + w - 2/9*h**2.
-2*h*(h - 2)/9
Let v(d) be the second derivative of 0*d**3 - 1/54*d**4 + 0 + 1/135*d**6 + 4*d + 0*d**2 + 1/90*d**5 - 1/189*d**7. Solve v(i) = 0.
-1, 0, 1
Let 15*g**4 + 258*g**5 + g**3 - 11*g**3 - 263*g**5 = 0. Calculate g.
0, 1, 2
Let g be ((-3 - -2)*-3)/1. Let 0 + 0 + g*y - 2*y**3 - y**3 = 0. What is y?
-1, 0, 1
Let k(l) = -7*l**5 - 7*l**4 - 4*l**3 + 4*l**2 - 4. Let i(q) = -27*q**5 - 27*q**4 - 15*q**3 + 15*q**2 - 15. Let c(y) = 4*i(y) - 15*k(y). Factor c(z).
-3*z**4*(z + 1)
Let u(w) be the third derivative of -1/20*w**5 + 1/8*w**4 + 0*w + 0 + w**3 - 3*w**2. Suppose u(z) = 0. What is z?
-1, 2
Solve 1/6*j**4 - 1/3*j - 1/6*j**2 + 0 + 1/3*j**3 = 0 for j.
-2, -1, 0, 1
Let d(g) be the second derivative of 0*g**3 + 0*g**2 - 9/40*g**5 + 0 + 1/12*g**4 + 2*g. Suppose d(v) = 0. What is v?
0, 2/9
Let p = -18 - -20. Suppose 0 = 4*i - 5*r - 25, i - 3*r + 15 = -6*r. Factor i*h**p + 1/4*h**3 + 0 + 0*h.
h**3/4
Let y be ((-2)/((-8)/(-3)))/(60/(-240)). Let w(v) be the first derivative of 0*v**2 + 0*v**y - 1/2*v**4 + 0*v - 3 - 1/5*v**5. Factor w(j).
-j**3*(j + 2)
Let f(z) be the third derivative of -z**5/450 - z**4/45 + 6*z**2. Let f(o) = 0. Calculate o.
-4, 0
Let w(j) be the second derivative of j**4/8 + 3*j**3/4 - 3*j**2 - 6*j. Find n, given that w(n) = 0.
-4, 1
Suppose j + 16 = 5*c, -5*c - j = -5*j - 4. Suppose -5*x = c*m + 13, -5*m + 50 - 15 = -4*x. Factor -q + q - q + q**m.
q*(q - 1)*(q + 1)
Suppose 0 = 2*u - 4, 0*q + 5*q = -2*u + 64. Suppose -p - q = -4*p. Suppose 0*x**3 + 4/3*x**p + 2/3*x**5 - 2/3*x - 4/3*x**2 + 0 = 0. Calcula