r(h) + 3*v(h). Find g such that z(g) = 0.
1/3, 1
Suppose -2*k - 4 = -12. Determine l, given that 0*l**3 + 2*l**3 + 1 - 3*l**2 - k*l**3 = 0.
-1, 1/2
Solve -1/3*b**4 + 0*b + 4/3*b**2 - 4/3*b**3 + 1/3*b**5 + 0 = 0.
-2, 0, 1, 2
What is z in 1/3*z**2 + 2/3*z + 0 = 0?
-2, 0
Let h(f) be the second derivative of -f**6/18 - 13*f**5/60 - f**4/4 + f**3/18 + f**2/3 - 2*f + 4. Determine x so that h(x) = 0.
-1, 2/5
Let y be 12/(-8)*(-24)/9. Solve s**4 - 4*s**y - 2*s**3 + s**2 + 4*s**4 = 0.
0, 1
Let i be 25/8 + (-6)/48. Let m(z) be the third derivative of 1/24*z**4 + 7/300*z**5 - 1/15*z**i + 0*z + 4*z**2 + 0. Solve m(c) = 0 for c.
-1, 2/7
Find u, given that -8/13 + 6/13*u**2 - 8/13*u = 0.
-2/3, 2
Let k(o) be the first derivative of -o**4/16 + o**3/8 - 8*o + 2. Let j(i) be the first derivative of k(i). Find w, given that j(w) = 0.
0, 1
Let t(j) be the second derivative of -1/3*j**6 + 4/21*j**7 - 1/3*j**3 + 5/6*j**4 + 0 - 3/10*j**5 + 4*j + 0*j**2. Solve t(x) = 0.
-1, 0, 1/4, 1
Suppose -p - 5*d = -5, -14 - 11 = -5*p - d. Factor -3*r**3 + r**4 - r**2 + 3*r**p + 3 + 0*r**2 - 3.
r**2*(r - 1)*(r + 1)*(3*r + 1)
Suppose 0 = 5*p - 5*q - 25, 3*q = -0*q - 9. Suppose d - 5 = p*d, -22 = -3*z + 2*d. Factor -v**2 - v**2 + v**z + v**2.
v**2*(v - 1)*(v + 1)
Let i(h) be the first derivative of -h**5/4 - 7*h**4/12 - h**3/3 - 2*h - 4. Let v(t) be the first derivative of i(t). Factor v(o).
-o*(o + 1)*(5*o + 2)
Let m = 18 + -21. Let g be (-12)/88*4/m. Find n such that 0*n + g*n**2 - 2/11 = 0.
-1, 1
Let n(v) be the second derivative of -1/4*v**2 - 1/24*v**3 + 1/16*v**4 - 1/120*v**6 + 4*v + 1/80*v**5 + 0. Solve n(j) = 0.
-1, 1, 2
Let a(j) be the first derivative of 64*j**3/15 - 8*j**2/5 + j/5 + 23. Suppose a(w) = 0. Calculate w.
1/8
Suppose 5*t + 2*u = 17, -2*t - 2*t + 17 = 5*u. Solve 8*l + 2*l + l**t + 9 - 7*l - 5*l**2 = 0.
-1, 3
Let n(m) be the third derivative of m**8/2016 + m**7/315 + m**6/120 + m**5/90 + m**4/144 - 7*m**2. Determine q, given that n(q) = 0.
-1, 0
Let m(s) be the first derivative of s**3 + 3*s**2/2 + 7. Suppose m(o) = 0. What is o?
-1, 0
Let x(l) = -3*l**2 - 2*l. Let b(w) = 3*w**2 + 3*w. Let h(r) = 4*b(r) + 3*x(r). Factor h(s).
3*s*(s + 2)
Let a(n) be the first derivative of 1/10*n**2 - 1 + 4/15*n**3 + 0*n + 3/20*n**4. Factor a(q).
q*(q + 1)*(3*q + 1)/5
Let i(q) be the third derivative of 0*q + 1/48*q**4 + 0 - 1/840*q**7 + 1/240*q**5 + 0*q**3 - 1/240*q**6 - 2*q**2. Factor i(t).
-t*(t - 1)*(t + 1)*(t + 2)/4
Let z(s) = -9*s**3 - 4*s**2 + 9*s + 4. Let v(a) = -13*a**3 + 5 + 1 + 4*a - 6*a**2 + 0*a**2 + 9*a. Let n(o) = -5*v(o) + 7*z(o). Determine p so that n(p) = 0.
-1, 1
Let v = 2 + 0. Factor 4/7 - 2/7*c**v - 2/7*c.
-2*(c - 1)*(c + 2)/7
Let x(y) = -8*y**3 - 2*y**2 - 8*y. Let v(d) = -7*d**3 - 3*d**2 - 8*d. Let w(t) = -4*t + 1. Let s be w(-1). Let n(f) = s*x(f) - 6*v(f). Factor n(q).
2*q*(q + 2)**2
Let a(f) = f**3 + 20*f**2 - f - 20. Let w be a(-20). Let -2/9*v**2 + w*v + 0 - 2/3*v**3 - 4/9*v**4 = 0. Calculate v.
-1, -1/2, 0
Let y(o) = -9*o**2 + 11*o - 1. Let i(u) = 4*u**2 - 5*u. Let w = 2 - 0. Let l be (1 - -4)*w/(-5). Let j(r) = l*y(r) - 5*i(r). Find v such that j(v) = 0.
-1/2, 2
Let j(m) = -10*m**4 - 12*m**3 - 8*m**2. Let q(k) = k**5 - k**4 + k. Let g(d) = 2*j(d) - 4*q(d). Factor g(f).
-4*f*(f + 1)**4
Determine c so that -2 + 0*c**2 + 8*c**2 + 2*c**2 - 11*c**2 - 3*c = 0.
-2, -1
Factor 0*k - 1/3*k**3 + 1/3*k**5 + 0*k**4 + 0*k**2 + 0.
k**3*(k - 1)*(k + 1)/3
Determine l so that 8/13*l - 8/13 + 2/13*l**2 - 2/13*l**3 = 0.
-2, 1, 2
Factor 2/11*h + 0*h**2 + 2/11*h**5 - 4/11*h**3 + 0*h**4 + 0.
2*h*(h - 1)**2*(h + 1)**2/11
Let s(q) be the first derivative of -q**2 + 0*q**3 + 0*q + 1/2*q**4 + 4. Factor s(f).
2*f*(f - 1)*(f + 1)
Let t(m) = 4*m**4 + m**3 + 9*m**2 + 17*m - 13. Let q(f) = -2*f**4 - 4*f**2 - 8*f + 6. Let s = 2 + 2. Let j(x) = s*t(x) + 9*q(x). Solve j(b) = 0.
-1, 1
What is b in -1/2*b**4 + 0 + 3/4*b**3 + 1/8*b**5 - 1/2*b**2 + 1/8*b = 0?
0, 1
Suppose 2*z - z = 7. Let f be z + ((-12)/(-4) - 6). Factor 0 + 2*k**3 + 0*k + 8/3*k**f - 2/3*k**2.
2*k**2*(k + 1)*(4*k - 1)/3
Suppose 3*i - 3 + 12 = 0. Let z(d) = 1 - 3*d - 4*d**2 - 2*d**2 + 4*d**3 - 6. Let g(a) = 2*a**3 - 3*a**2 - 2*a - 3. Let x(m) = i*z(m) + 5*g(m). Factor x(s).
-s*(s - 1)*(2*s - 1)
Let k(y) be the first derivative of y**3/9 - y**2/6 - 2*y/3 + 11. Factor k(p).
(p - 2)*(p + 1)/3
Let o(a) be the third derivative of -a**5/30 - 13*a**4/132 - 2*a**3/33 - 4*a**2. Factor o(h).
-2*(h + 1)*(11*h + 2)/11
Let k(h) be the second derivative of 0*h**2 + 0*h**3 - 1/110*h**5 + h + 0 + 1/66*h**4. Let k(q) = 0. Calculate q.
0, 1
Let u(i) = 2*i**2 + 6*i. Let t be u(-4). Let r = 11 - t. Let -q + 2*q**r + 0*q**3 - q = 0. Calculate q.
-1, 0, 1
Let o(k) be the first derivative of k + 2*k + 5 + 0*k + 3*k**2 + k**3. Suppose o(n) = 0. Calculate n.
-1
Suppose 6 = -3*y - 0*c + 3*c, 2*c - 10 = -y. Determine s, given that 2*s**2 - 5*s**3 + s**y - 3*s**2 - s**2 = 0.
-1/5, 0
Let u be (0 - -16) + (-7 - -5). Suppose -3*i - u = -5*p, -p - 3*p - 2*i = -20. Let -v**p + 0*v + 3*v**2 + 2*v**4 - 3*v**3 - v = 0. What is v?
0, 1
Factor 1/2 + 0*v**3 - 1/6*v**4 + v**2 + 4/3*v.
-(v - 3)*(v + 1)**3/6
Let l be 3/6*(-3)/(-45). Let y(x) be the second derivative of 2/15*x**3 - 5*x + l*x**4 + 0 - 1/25*x**5 + 0*x**2 - 1/75*x**6. Factor y(s).
-2*s*(s - 1)*(s + 1)*(s + 2)/5
Let s(m) be the third derivative of -m**8/26880 + m**7/10080 + m**4/6 + 9*m**2. Let z(t) be the second derivative of s(t). Factor z(v).
-v**2*(v - 1)/4
Suppose -2*m - 16 = -3*s - 2, 4*s - 5*m = 28. Factor 1/2*n + 0 + n**s + 1/2*n**3.
n*(n + 1)**2/2
Suppose 2*u = 3*u - 5. Suppose u*q = q + 40. Determine z, given that q - 2*z**3 - 2*z + 4*z**2 - 10 = 0.
0, 1
Let u(k) be the first derivative of -k**5/20 - 5*k**4/24 - k**3/3 + k**2 - 4. Let v(x) be the second derivative of u(x). Let v(w) = 0. What is w?
-1, -2/3
Factor 15*z**2 - 3*z**2 + 2 + z**4 + z**4 + 11*z - 3*z + 8*z**3.
2*(z + 1)**4
Let t(n) be the first derivative of n**5/120 - n**4/48 - n**3/6 + 4*n**2 + 9. Let h(v) be the second derivative of t(v). Solve h(l) = 0 for l.
-1, 2
Let n(u) be the second derivative of 0 - 2/5*u**2 + 1/5*u**3 + 4*u - 1/30*u**4. What is s in n(s) = 0?
1, 2
Let o = 35/246 - -1/41. Determine k so that -o*k**4 + 1/2*k**2 + 1/3*k + 0 + 0*k**3 = 0.
-1, 0, 2
Let x = -8 + 12. Factor x*s + 0 - 7*s**3 - 2*s**2 + 2 + 8*s**3 - 5*s**3.
-2*(s - 1)*(s + 1)*(2*s + 1)
Let m(o) be the first derivative of -2/15*o**3 - 2/15*o**2 - 3 + 1/10*o**4 + 1/15*o**6 + 0*o + 14/75*o**5. Suppose m(x) = 0. What is x?
-1, 0, 2/3
Factor -5*w**3 + 4*w**3 - 5*w**3 - 6*w**2 + 3*w**3 - 3*w.
-3*w*(w + 1)**2
Let n(j) be the first derivative of -1/8*j**4 - 1/6*j**3 + 0*j - 1 + 0*j**2. Suppose n(g) = 0. What is g?
-1, 0
Let -44*b**4 - 3*b**2 + 18*b**4 + 3*b**3 + 27*b**4 + 5*b**2 = 0. Calculate b.
-2, -1, 0
Let i be (12/(-5))/(8/60). Let s be (i/24)/((-6)/4). Determine u so that -s*u + 1/4*u**2 + 0 = 0.
0, 2
Suppose 2 = -4*j + 3*o - o, -5*o + 21 = -2*j. Suppose -j*d + 3 + 1 = 0. Find b such that 0 + 1/3*b + 2/3*b**4 - 1/3*b**5 - 2/3*b**d + 0*b**3 = 0.
-1, 0, 1
Suppose -29 = -5*y + 281. Let g be y/22 - 2/(-11). Factor 1/3 + x + 1/3*x**g + x**2.
(x + 1)**3/3
Let q = 7 + -2. Let i = q + -2. Factor -b - b + 4*b**i - b**2 + 3*b**2.
2*b*(b + 1)*(2*b - 1)
Find o, given that -3/2*o**3 - o**5 - 9/4*o**4 + 0 + 0*o - 1/4*o**2 = 0.
-1, -1/4, 0
Let b be 18/9 - 2/2. Let n(c) be the first derivative of 0*c**2 - b + 0*c - 2/15*c**3. Factor n(g).
-2*g**2/5
Let o(w) be the second derivative of 1/4*w**4 - 5*w + 0 + 1/2*w**3 + 0*w**2. Factor o(q).
3*q*(q + 1)
Suppose -29*x + 68 = -12*x. Let 0*w + 0 - 2/5*w**5 + 4/5*w**2 + 8/5*w**x - 2*w**3 = 0. Calculate w.
0, 1, 2
Let d(l) be the second derivative of -4*l**5/45 + 5*l**4/27 - 2*l**3/27 - 22*l. Factor d(z).
-4*z*(z - 1)*(4*z - 1)/9
Let k(g) be the second derivative of -g**4/30 - 2*g**3/3 - 5*g**2 + 14*g. Determine h, given that k(h) = 0.
-5
Let n(o) = -o**3 - 10*o**2 + 10*o - 8. Let h be n(-11). Factor 1/2 - 1/2*w**4 + 0*w**2 + w**h - w.
-(w - 1)**3*(w + 1)/2
Let t(p) be the second derivative of -p**6/2 - 39*p**5/20 - p**4 + 2*p**3 - 2*p + 7. Determine k so that t(k) = 0.
-2, -1, 0, 2/5
Suppose 5*l - i = 3*i + 34, i = -1. Let b be (l - -1) + -6 + 2. Determine w, given that 0*w**2 + 0 + 2/11*w**b - 2/11*w = 0.
-1, 0, 1
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