h**2 + 343/4 = 0.
7
Let p(t) be the third derivative of 1/30*t**5 - 1/24*t**4 - t**2 + 0 + 0*t - 1/120*t**6 + 0*t**3. Let p(u) = 0. Calculate u.
0, 1
Let l = -9 - -15. Suppose 0 = -j - 2*j + l. Factor -b**2 - j - 3*b + 6*b + 0*b.
-(b - 2)*(b - 1)
Let y be (-1957)/(-114) + (-2)/3. Let w = 17 - y. Suppose 0 + 0*c + 0*c**4 - 1/2*c**3 + w*c**5 + 0*c**2 = 0. What is c?
-1, 0, 1
Let p(s) be the second derivative of s**5/50 - s**3/15 - 10*s. Factor p(x).
2*x*(x - 1)*(x + 1)/5
Let f = -1 + 5. Suppose -3*b = -f*b, 5*y - 4*b = 10. Let 0*g + y*g**2 - 2*g + g - g**3 = 0. What is g?
0, 1
Let r be (-32)/54*3 + 2. Factor 0*p + 0 + 0*p**2 + 2/9*p**4 + r*p**3.
2*p**3*(p + 1)/9
Let d(b) = b**2 - b - 3. Let r = 3 - 0. Let k be d(r). Suppose -3/2*q**k - 1/2*q**4 - 1/2*q - 3/2*q**2 + 0 = 0. Calculate q.
-1, 0
Let q(n) = -n. Let t(x) = -x**2 - x - 1. Suppose 3*h - 14 = 4. Let u(a) = h*q(a) - 2*t(a). Factor u(y).
2*(y - 1)**2
Let c = 2 + 1. Let b(f) be the second derivative of 1/3*f**c + 1/10*f**5 + 1/3*f**4 + 0 - f + 0*f**2. Find u such that b(u) = 0.
-1, 0
Let c be ((-3)/(-2))/((-1)/(-2)). Factor -50*t**c + 0 - 10*t**2 + 32*t - 8 + 0.
-2*(t + 1)*(5*t - 2)**2
Let k(j) be the third derivative of -1/210*j**7 + 0*j**4 - 3*j**2 - 1/240*j**6 + 0*j**3 + 0*j**5 + 0 - 1/672*j**8 + 0*j. Suppose k(i) = 0. Calculate i.
-1, 0
Let q(s) be the first derivative of 3 - 1/2*s**3 + s + 1/10*s**5 + 1/4*s**2 - 1/8*s**4. Suppose q(h) = 0. What is h?
-1, 1, 2
Suppose -4*k + 30 = k. Let r(a) = -a**3 + 2*a**2 + 3*a + 3. Let w be r(3). Solve u**3 + 2 + 6*u + u**3 + k*u**2 + 0*u**w = 0 for u.
-1
Let i = -9 - -12. Determine d, given that d**3 + 9*d**4 - i*d**2 - 3*d**5 - 6*d**4 + 2*d**3 = 0.
-1, 0, 1
Suppose 0*a - 3*a = 0. Let i(t) be the third derivative of 0*t + 1/96*t**4 + 2*t**2 + 0 + a*t**3 + 1/80*t**5. Suppose i(r) = 0. What is r?
-1/3, 0
Let v(k) be the third derivative of -k**7/630 + k**5/90 - k**3/18 - 6*k**2. Factor v(h).
-(h - 1)**2*(h + 1)**2/3
Let m(j) be the third derivative of j**7/1260 + j**6/180 + j**5/90 + j**3/6 + 4*j**2. Let r(z) be the first derivative of m(z). Let r(v) = 0. What is v?
-2, -1, 0
Factor 1 - h**2 - 1/2*h**3 + 1/2*h.
-(h - 1)*(h + 1)*(h + 2)/2
Let p(m) = 10*m**3 + 120*m**2 - 1230*m + 3645. Let y(j) = j**3 - j**2 - j. Let n(c) = p(c) - 15*y(c). Factor n(z).
-5*(z - 9)**3
Let x(d) be the first derivative of d**6/15 + 2*d**5/25 - d**4/2 - 2*d**3/3 + 4*d**2/5 + 8*d/5 - 6. Suppose x(s) = 0. What is s?
-2, -1, 1, 2
Let y be 4 + 61/(-21)*3 - -5. Solve 2/7*t**3 + 0*t + 0 - y*t**2 = 0.
0, 1
Let s(r) be the third derivative of -r**9/7560 - r**8/3360 + r**4/12 - r**2. Let p(y) be the second derivative of s(y). Let p(o) = 0. Calculate o.
-1, 0
Solve 0 - 36/5*h**2 + 8*h**3 - 12/5*h**4 + 8/5*h = 0.
0, 1/3, 1, 2
Let f(c) = -c**4 - c - 1. Let v(p) = 5 + 8 + 2*p**3 - 2 - 2 - 3*p**2 + 6*p**4 + p. Let m(o) = -5*f(o) - v(o). Factor m(x).
-(x - 1)**2*(x + 2)**2
Let l be (2/(-6))/((-8)/(-48)). Let h be 14/9 - l/(-9). Let -1/3 + 4/3*u + 4/3*u**4 - u**2 - h*u**3 = 0. What is u?
-1, 1/2, 1
Find p, given that 2/5*p**3 - 2 + 22/5*p - 14/5*p**2 = 0.
1, 5
Let b(f) be the third derivative of -f**8/672 - f**7/140 - f**6/240 + f**5/40 + f**4/24 + 18*f**2. Solve b(r) = 0 for r.
-2, -1, 0, 1
Let o(l) = l**4 - 4*l**3 + 2*l**2 + l - 3. Let b(c) = -c - c**4 + 2*c**2 + 2 - 5*c**2 + 3*c**3 + 2*c**2. Let y(p) = -6*b(p) - 4*o(p). What is x in y(x) = 0?
-1, 0, 1
Factor -2/3*n**3 + 0*n + 0*n**2 - 4/3*n**4 + 0.
-2*n**3*(2*n + 1)/3
Let a be (-1 - -1)*2/4. Let i(g) = -g**2 + 6*g - 5. Let h be i(5). Determine r, given that 2/7*r**2 + a*r - 2/7*r**4 + 0*r**3 + h = 0.
-1, 0, 1
Let y(f) = -f**2 + 2*f + 2. Let o be y(-2). Let c be (3/(-9))/(1/o). Suppose 2/7*j**3 - 6/7*j**c + 6/7*j - 2/7 = 0. Calculate j.
1
Suppose -4 = 2*c - z, 29 - 9 = -c + 5*z. Let y(d) = -d**2 - 6*d - 3. Let w be y(-5). Find q, given that 1/2*q - 1/4*q**w + c = 0.
0, 2
Let s(x) be the second derivative of -x**7/84 + x**6/30 - 12*x. Factor s(p).
-p**4*(p - 2)/2
Let x be (30/12)/(14/8). Let o = -41 + 297/7. Solve 4/7*v**4 + o*v**3 - 4/7 - x*v + 0*v**2 = 0 for v.
-2, -1, -1/2, 1
Let i = 28 - 28. Determine d so that 0*d**4 + 0*d**2 + 0*d + i*d**3 - 2/9*d**5 + 0 = 0.
0
Let t = 40221/469 - 600/7. Let q = 819/335 - t. Factor -2/5*o**2 - 18/5 + q*o.
-2*(o - 3)**2/5
Suppose 3*v = -2*z + 6, -4*z - 10 = 3*v - 8*v. Suppose -2/3*o**4 - 8*o - 8/3 - 26/3*o**v - 4*o**3 = 0. Calculate o.
-2, -1
Factor 4/21 - 10/21*l - 4/21*l**2 + 10/21*l**3.
2*(l - 1)*(l + 1)*(5*l - 2)/21
Let q(y) be the third derivative of -y**7/210 - y**6/240 + y**4/24 + 3*y**2. Let v(k) be the second derivative of q(k). Factor v(f).
-3*f*(4*f + 1)
Let d(y) be the first derivative of -2*y**6/3 + 36*y**5/5 - 32*y**4 + 224*y**3/3 - 96*y**2 + 64*y - 6. Suppose d(g) = 0. What is g?
1, 2
Let w(i) be the second derivative of i**5/270 + i**4/108 - 2*i**3/27 + i**2/2 - 2*i. Let n(x) be the first derivative of w(x). What is o in n(o) = 0?
-2, 1
Suppose 0 = -l - 0 + 5. Let q(h) be the second derivative of 1/3*h**3 + 0*h**4 + 3*h + 0*h**2 + 1/21*h**7 - 1/5*h**l + 0 + 0*h**6. Solve q(m) = 0.
-1, 0, 1
Let v = 9 + -5. Factor -2*z**v + 2*z**2 + 0*z**5 + 4*z**3 - 2*z**2 - 2*z**5.
-2*z**3*(z - 1)*(z + 2)
Factor -z**2 + 2 - 6 + 2 + 3*z**2.
2*(z - 1)*(z + 1)
Factor -2/5*i**3 + 8/5*i**2 + 0 - 6/5*i.
-2*i*(i - 3)*(i - 1)/5
Let h(m) be the first derivative of -3/2*m**2 + 2*m**3 + 3/4*m**4 - 6*m - 2. Factor h(q).
3*(q - 1)*(q + 1)*(q + 2)
Let g(j) be the second derivative of -j**7/10080 + 5*j**4/12 + 2*j. Let z(u) be the third derivative of g(u). Factor z(i).
-i**2/4
Let t(u) be the third derivative of -u**8/3360 + u**7/1260 + u**6/360 - u**5/60 + u**4/6 + 5*u**2. Let f(x) be the second derivative of t(x). Factor f(k).
-2*(k - 1)**2*(k + 1)
Let 3*v**3 - 2 + 3*v**2 + 3 - 1 = 0. Calculate v.
-1, 0
Factor -48*b - 10*b**2 - 5*b**2 - 10*b**2 + 3*b**2 - 8.
-2*(b + 2)*(11*b + 2)
Let p(a) = -3*a**5 - 6*a**4 + a**3 + 4*a**2 - 4. Let j(z) = -5*z**5 - 11*z**4 + 2*z**3 + 7*z**2 - 7. Let r(f) = 4*j(f) - 7*p(f). Solve r(v) = 0.
0, 1
Let h(u) be the first derivative of u**6/40 - u**5/10 + u**4/8 + 3*u**2/2 + 8. Let f(d) be the second derivative of h(d). Factor f(p).
3*p*(p - 1)**2
Suppose 0 = -5*i + 5*z + 30, -13 = 2*z - 11. Let r(k) = -2*k - 6. Let w be r(-5). Suppose -2*b**i - 2*b + 8/5*b**2 - 4/5*b**4 - 4/5 + w*b**3 = 0. Calculate b.
-1, -2/5, 1
Suppose 2*v = 4*v - 10. Suppose v = 3*a - 1. Factor 0*g**2 - 2*g**2 - 7 + 3 - 10*g + 6*g**a + 10*g**3.
2*(g - 1)*(g + 1)*(5*g + 2)
Let y(p) = p**2 + p - 1. Let d be y(1). Let w be (28/63)/((-2)/27*-3). Find a, given that d - 1/2*a**w + 1/2*a = 0.
-1, 2
Let x(i) be the first derivative of i**4/42 + 2*i**3/63 - 8*i**2/21 - 8*i/7 - 13. Factor x(k).
2*(k - 3)*(k + 2)**2/21
Find o such that 4/7*o**2 + 0 + 0*o = 0.
0
Let s = 281/10 + -28. Let t(a) be the first derivative of 0*a - 1/15*a**6 + 0*a**2 + 0*a**5 + s*a**4 + 0*a**3 - 3. Factor t(b).
-2*b**3*(b - 1)*(b + 1)/5
Let i(d) = 3*d - 3. Let a be i(-6). Let n be 1 - (33/a - -2). Determine y, given that -6/7*y + 2/7*y**2 + n = 0.
1, 2
Let c(l) be the first derivative of -l**6/2 + l**5 + 5*l**4/12 - 5*l**3/3 + 4*l/3 + 5. Factor c(b).
-(b - 1)**3*(3*b + 2)**2/3
Let k(y) be the third derivative of -y**6/360 - y**5/60 + y**3/6 + 4*y**2. Let x(w) be the first derivative of k(w). Determine f, given that x(f) = 0.
-2, 0
Let j(w) be the third derivative of w**7/420 - w**6/80 + w**5/60 + 13*w**2. Determine y, given that j(y) = 0.
0, 1, 2
Let y(x) be the first derivative of 1/4*x**3 + 0*x + 0*x**2 + 1. Let y(l) = 0. Calculate l.
0
Let y(o) = o. Let u be y(0). Let r(a) be the third derivative of 1/20*a**6 - 1/6*a**4 + 0*a + 0*a**3 + 1/6*a**5 - a**2 + u. Factor r(k).
2*k*(k + 2)*(3*k - 1)
Let o(a) be the first derivative of a**6/75 - a**5/25 + 2*a**3/15 - a**2/5 + 3*a - 1. Let m(w) be the first derivative of o(w). Factor m(c).
2*(c - 1)**3*(c + 1)/5
Let n(s) = -s**2 - s - 1. Let b(a) = a**3 + 2*a**2 + 8*a + 4. Let x(v) = b(v) + 5*n(v). Find p, given that x(p) = 0.
1
Let f(v) be the third derivative of v**7/420 - v**6/60 + v**5/20 - v**4/12 + 5*v**3/6 + v**2. Let r(l) be the first derivative of f(l). Factor r(d).
2*(d - 1)**3
Let v = -7327/8 - -919. Let y(t) be the first derivative of -10/3*t**3 - 15/8*t**2 + 2 - 1/2*t - v*t**4 - 7/24*t**6 - 