 - 1)/7
Let q(f) = 3*f**2 - 2*f + 1. Let d be q(2). Suppose 0 = -t - m + 7, 0 = t - 3*t - m + d. Suppose -3*l**t + 4*l**2 - 2 + 1 = 0. What is l?
-1, 1
Let v(c) be the second derivative of 5*c**7/42 + c**6/2 + 3*c**5/4 + 5*c**4/12 + 45*c. Find o such that v(o) = 0.
-1, 0
Let v = -8 + 12. Suppose b = 6*b - 10. Let 2*t**5 - 5*t**3 + 0*t**2 + 2*t**v - 2*t**b + 3*t**3 = 0. Calculate t.
-1, 0, 1
Let o be (-9 + 11 + 3)*(-2)/(-25). Determine v, given that -4/15*v**2 + 2/5*v**4 + 2/15*v**5 - o*v - 2/15 + 4/15*v**3 = 0.
-1, 1
Let g(k) be the first derivative of -k**6/300 + k**4/60 + 3*k**2/2 + 2. Let c(v) be the second derivative of g(v). Find j, given that c(j) = 0.
-1, 0, 1
Let q(x) be the first derivative of x**5/270 - x**4/54 - 3*x**2/2 + 4. Let l(g) be the second derivative of q(g). Factor l(w).
2*w*(w - 2)/9
Let d(q) = q**3 - 17*q**2 + 31*q - 15. Let m be d(15). Factor -4/3*f**2 - 8/3*f**3 + m*f**4 + 2/3*f**5 + 4/3 + 2*f.
2*(f - 2)*(f - 1)*(f + 1)**3/3
Let k(g) be the first derivative of g**6/12 - g**4/4 + g**2/4 + 20. Factor k(x).
x*(x - 1)**2*(x + 1)**2/2
Let w be 4/10 + (-52)/(-20). Factor 16/7 + 972/7*n**2 + 216/7*n + 1458/7*n**w.
2*(9*n + 2)**3/7
Suppose 3*o - 12 = 3*d, -2*d + 6*d - 20 = -5*o. Suppose 0 = -3*c + o*c. Find q, given that c - 2/5*q**2 + 0*q = 0.
0
Let u = -35 - -249/7. Suppose 2/7 + u*c + 2/7*c**2 = 0. What is c?
-1
Suppose -6 = 4*a - 14. Let s = 122 + -608/5. Factor 0*f - 2/5 + s*f**a.
2*(f - 1)*(f + 1)/5
Let r(k) be the first derivative of -k**4/4 - 2*k**3 + k**2/2 + 8*k + 3. Let m be r(-6). Factor -2/7 - 2/7*p**m + 4/7*p.
-2*(p - 1)**2/7
Let o = -18 + 25. Solve -o*j**2 + 9*j + 0 + 6 - 8*j**2 = 0 for j.
-2/5, 1
Let a(c) be the third derivative of -c**7/70 + 2*c**6/5 - 24*c**5/5 + 32*c**4 - 128*c**3 - 18*c**2. Factor a(d).
-3*(d - 4)**4
Suppose 5*k = 4*q + 54, -3*q = -0*k - 4*k + 43. Suppose -5*b = -0*b - k. Factor d - 3*d**2 + d**b + d.
-2*d*(d - 1)
Let p be 3/(-5 + 2) + 1. Let o(h) be the first derivative of 2/9*h**3 + p*h + 3 + 1/3*h**2. Suppose o(k) = 0. What is k?
-1, 0
Let l be 49/(-14)*(-20)/35. Factor l*j**2 + 4/7 + 18/7*j.
2*(j + 1)*(7*j + 2)/7
Let 3*p**4 - 20*p**3 + 2*p**4 - 15*p**2 - 10*p**4 = 0. Calculate p.
-3, -1, 0
Suppose -4*x**2 + x**2 + 4*x**2 + 0*x**2 = 0. Calculate x.
0
Let b(x) = -8*x**2 + 3*x. Let y(u) be the first derivative of -u**3 + 0*u - 1 + 1/2*u**2. Let l(t) = -4*b(t) + 11*y(t). Solve l(s) = 0.
-1, 0
Let l(j) be the second derivative of 1/33*j**4 + 0*j**2 + 3*j + 1/110*j**5 + 1/33*j**3 + 0. Determine o so that l(o) = 0.
-1, 0
Let p(b) = -b**3 - b**2 + b - 1. Let g(j) = -5*j**4 - 8*j**3 + 7*j**2 + 8*j + 2. Let s(v) = g(v) + 2*p(v). Determine u, given that s(u) = 0.
-2, -1, 0, 1
Factor -2/11 + 2/11*t**2 + 0*t.
2*(t - 1)*(t + 1)/11
Suppose -3*k - 2*y + 1 = 5, k = 4*y + 8. Suppose -2*v + 4*s = -6*v - 8, k = 5*v + 3*s. Let -v*j + 2*j**3 + j + j**4 + 2 - 3 = 0. What is j?
-1, 1
What is o in 3 - 3 + 5*o**2 - 5 = 0?
-1, 1
Let s(m) be the first derivative of -3*m**3 + 0*m - 3/4*m**4 - 3 - 3*m**2. Let s(n) = 0. What is n?
-2, -1, 0
Let s(j) be the second derivative of -j**9/7560 + j**8/2100 - j**6/450 + j**5/300 + j**3/6 - 3*j. Let f(u) be the second derivative of s(u). Factor f(r).
-2*r*(r - 1)**3*(r + 1)/5
Let -8*l - 6 - l**2 - l - 2*l**2 = 0. Calculate l.
-2, -1
Let c be (((-20)/6)/((-3)/9))/7. Factor -4/7 + 16/7*l**2 - 2/7*l - c*l**3.
-2*(l - 1)**2*(5*l + 2)/7
Suppose 0*d + 12 = 4*d. Suppose -5*v + 15 = -0. Suppose 2*t**2 - t**5 - t - 1 + 0*t**5 - t**d + v*t**3 - t**4 = 0. What is t?
-1, 1
Let l = -759 + 761. Factor -2*t - 2/5*t**l - 6/5 + 2/5*t**3.
2*(t - 3)*(t + 1)**2/5
Let y be 1/(-2) - (-63)/70. Factor -2/5*i**3 - 6/5*i**2 + 4/5 + y*i + 2/5*i**4.
2*(i - 2)*(i - 1)*(i + 1)**2/5
Solve -8*s**3 + 4*s**3 - 11*s**2 + 7*s**2 = 0.
-1, 0
Let k(d) = -d**3 - 4*d**2 - 7*d. Let y(n) = n**3 + 5*n**2 + 8*n. Let q be 4/(-2) + -5 + 14. Let v(z) = q*k(z) + 6*y(z). Solve v(o) = 0.
0, 1
Factor -2/5*r**3 - 8/5 - 22/5*r + 2/5*r**4 - 18/5*r**2.
2*(r - 4)*(r + 1)**3/5
Let b be 231/45 - (0 + 8/60). Let s(x) be the second derivative of 0 + 0*x**b + 1/12*x**4 + 0*x**2 - 4*x - 1/30*x**6 + 0*x**3. Suppose s(l) = 0. Calculate l.
-1, 0, 1
Let b(u) be the second derivative of u**7/189 + u**6/45 - 2*u**4/27 + 45*u. Determine j so that b(j) = 0.
-2, 0, 1
Let p(z) be the second derivative of 0*z**3 - 1/66*z**4 + 0*z**2 - 3*z + 0. Find u, given that p(u) = 0.
0
Suppose 0 = b - 1, 2*l + 2*b = -5 - 17. Let i = 15 + l. Find h, given that 0*h + 0*h**2 + 0 + 0*h**i + 1/3*h**4 = 0.
0
Let j(y) = y**3 + 9*y**2 + 48*y + 320. Let l be j(-8). Let s be (-3)/4*(-1)/3. Factor l - s*g**2 - 1/2*g.
-g*(g + 2)/4
Let d = 10 + -10. Suppose -q + 3*q - 10 = d. Solve -3*r**2 - r**3 - 11*r - 3*r**2 + q*r - 2 - r**3 = 0 for r.
-1
Suppose 4/3*c**3 + 2/3*c + 0 + 2*c**2 = 0. Calculate c.
-1, -1/2, 0
Let q(s) be the third derivative of 7*s**6/180 - 23*s**5/90 + 5*s**4/9 - 4*s**3/9 + 2*s**2. Determine o, given that q(o) = 0.
2/7, 1, 2
Suppose 3*j - f = -1, j - 4*f = -3*j - 4. Suppose -g = 3*g. Determine i, given that 1/4*i**4 + j*i + g - 1/2*i**2 - 1/4*i**3 = 0.
-1, 0, 2
Let m(u) be the second derivative of -u**6/40 - 9*u**5/40 - 3*u**4/4 - u**3 + 10*u. Factor m(y).
-3*y*(y + 2)**3/4
Let q(h) be the second derivative of -2*h**7/105 - 4*h**6/75 + h**5/5 + 2*h**4/3 - 8*h**3/15 - 16*h**2/5 - 26*h. Find l such that q(l) = 0.
-2, -1, 1, 2
Suppose -4*a = 12, 0 = 2*g + 4*a + 10 + 26. Let n be 40/g*(-3)/4. Factor 7/2*o + 11/2*o**2 + n*o**3 + 1/2.
(o + 1)**2*(5*o + 1)/2
Let t = -16 + 23. Suppose 124*p - 57*p**2 + t*p**3 - 30 + 2*p**3 + 3 - 25*p = 0. What is p?
1/3, 3
Solve 3*f**2 + 1/3*f**3 + 9*f + 9 = 0.
-3
Factor 2/13*q**2 - 4/13*q - 6/13.
2*(q - 3)*(q + 1)/13
Let k(c) be the first derivative of c**4/10 + 4*c**3/15 - c**2/5 - 4*c/5 - 2. Factor k(u).
2*(u - 1)*(u + 1)*(u + 2)/5
Suppose 0 = 4*o - 0*o - 5*g + 2, -3*o + 4*g = 2. Let a(k) be the first derivative of -k**4 - 1/5*k**5 - 5/3*k**3 - 2 + 0*k - k**o. Factor a(f).
-f*(f + 1)**2*(f + 2)
Suppose 3*c + 25 = 8*c. Suppose 3*p - c = 1. Let 6*z - 2*z**p + 0*z**2 + 2*z**2 - 4 - 2*z**3 = 0. What is z?
-2, 1
Let p(m) = m**2 - 8*m + 7. Let b be p(7). Suppose b*x - 2*x = -4. Factor -2*l**2 + 2*l + x*l - 2*l.
-2*l*(l - 1)
Let s(t) = -2 - 15*t + 7 + 0 + 3 + 9*t**2. Let m(d) = 4*d**2 - 7*d + 4. Let f(u) = 7*m(u) - 3*s(u). Solve f(n) = 0.
2
Factor 1/3*v**4 + 0 + 5/3*v**3 + 8/3*v**2 + 4/3*v.
v*(v + 1)*(v + 2)**2/3
Factor -6*j**3 - 10/3*j**4 - 4/3*j - 2/3*j**5 - 14/3*j**2 + 0.
-2*j*(j + 1)**3*(j + 2)/3
Let s(o) be the second derivative of o**6/180 + o**5/60 - o**3/18 - o**2/12 + 5*o. Factor s(b).
(b - 1)*(b + 1)**3/6
Let c(t) be the second derivative of 2/27*t**3 - 3*t + 1/54*t**4 + 0*t**2 + 0. Factor c(o).
2*o*(o + 2)/9
Let q be (0 - 2) + (-4 - 0). Let y = 32/5 + q. Factor 2/5 + y*g**2 - 4/5*g.
2*(g - 1)**2/5
Let m(l) = l - 7. Let w be m(10). Factor 3 + 0 + r**3 - r - w.
r*(r - 1)*(r + 1)
Let t(r) = r**3 - 23*r**2 - 2*r + 46. Let p be t(23). Find d, given that 0*d**2 + p - 1/6*d**4 - 1/6*d**5 + 0*d + 0*d**3 = 0.
-1, 0
Let v(w) = w**4 + w**3 - w + 1. Let s(a) = 4*a**4 + 4*a**3 - 2*a**2 - 3*a + 3. Let d(t) = s(t) - 3*v(t). Solve d(j) = 0 for j.
-2, 0, 1
Let c(k) = -k**2 - 5*k - 5. Let p(t) = -t**2 - 6*t - 6. Let l(m) = 6*c(m) - 5*p(m). Factor l(u).
-u**2
Let y(n) be the third derivative of 1/50*n**5 + 0*n + 4*n**2 + 0 + 0*n**4 + 1/300*n**6 + 0*n**3. Factor y(s).
2*s**2*(s + 3)/5
Let d(u) = -2*u**2 + 8*u - 15. Let h(j) = j**2 - 9*j + 2. Let t(m) = m**2 - 10*m + 1. Let g(p) = -6*h(p) + 5*t(p). Let x(l) = -3*d(l) + 7*g(l). Factor x(z).
-(z - 2)**2
Let b be (-1122)/15 + 4/5. Let z = -220/3 - b. Let 0*a + 0*a**2 + 0 + 2/3*a**4 + z*a**3 = 0. What is a?
-1, 0
Let z(p) be the second derivative of -p**5/20 - p**4/4 + 3*p**2/2 + 2*p. Let o(c) be the first derivative of z(c). Factor o(t).
-3*t*(t + 2)
Suppose -6*b + 18 = -b - 2*f, 4*f + 14 = -b. Suppose -4*c**3 + 3*c**3 - c**2 - 2*c**b + 2*c**2 = 0. What is c?
-1, 0
Let o(u) be the first derivative of -u**5/30 - u**4/18 + u + 2. Let d(q) be the first derivative of o(q). Factor d(z).
-2*z**2*(z + 1)/3
Suppose -4*m = j - 6, -4*j = -7*j + 5*m - 16. Let q be 81/(-36) + (-6)/j. Factor -3/4*l**2 - q - 3/2*l.
-3*(l + 1)**2/4
Let j(h) be the second derivative of 1/5*h**5 + 0*h**3 + 0 + 0*h**2 - 1/6*h