 that o(l) = 0.
2, 3
Let c = -62 - -62. Find x such that -1/4*x + c - 1/4*x**2 = 0.
-1, 0
Let h be (-540)/42*16/(-50). Let l = 22/5 - h. Factor 0*w + 8/7*w**3 + l*w**2 + 0.
2*w**2*(4*w + 1)/7
Suppose 5*z - 14 = -4. Suppose z = f - 0. Factor -1/5*j**f - 1/5*j + 0.
-j*(j + 1)/5
Solve 0*w - 6/5*w**4 - 2/5*w**3 - 8/5 + 2/5*w**5 + 14/5*w**2 = 0.
-1, 1, 2
Let x(w) be the second derivative of w**5/30 - w**4/18 - 20*w. Factor x(j).
2*j**2*(j - 1)/3
Let v(h) = h**3 - 6*h**2 - 2*h + 5. Let k be v(5). Let z be 96/k + -1 + 5. Determine i, given that z*i + 0 - 2/5*i**2 = 0.
0, 2
Let u(b) = 2*b**2 + 50*b - 62. Let w(f) = -f**2 - 17*f + 21. Let x(h) = 3*u(h) + 10*w(h). Factor x(q).
-4*(q - 1)*(q + 6)
Let z(s) = -3*s**3 - 9*s**2 + 27*s - 9. Let a(h) = h**4 - 7*h**3 - 18*h**2 + 53*h - 19. Let v(y) = -3*a(y) + 5*z(y). Let v(m) = 0. Calculate m.
-2, 1, 2
Find i, given that -12*i + 4*i**2 - 56 + 56 = 0.
0, 3
Let q(x) be the second derivative of x**5/50 + 2*x**4/15 + x**3/3 + 2*x**2/5 - 5*x. Determine n, given that q(n) = 0.
-2, -1
Let i = 5/7 + -38/63. Let q(v) be the second derivative of 1/90*v**5 - i*v**3 - v + 0 + 2/9*v**2 + 0*v**4. Suppose q(b) = 0. Calculate b.
-2, 1
Let b be (1/2)/(4/8). Let q(a) = -3*a**4 - 3*a**3 + 3*a**2 - 6. Let f(c) = -3 + 6 - 2 + c**2 + c**3. Let l(g) = b*q(g) + 3*f(g). Factor l(v).
-3*(v - 1)**2*(v + 1)**2
Factor 3*h**2 - 21*h - h**3 + 21*h.
-h**2*(h - 3)
Factor 3/7*v**2 + 3/7*v + 0.
3*v*(v + 1)/7
Let a(q) be the first derivative of 0*q**2 + 9 + 2/27*q**3 - 2/9*q. Find g, given that a(g) = 0.
-1, 1
Let v(m) be the second derivative of m**4/60 - m**3/5 + 9*m**2/10 - 13*m. Determine t so that v(t) = 0.
3
Let w(m) = -m**3 - 8*m**2 + 8*m - 7. Let a be w(-9). Suppose q + 2*q - 3 = 0. Factor -4*f + 7*f - 3*f + q - 2*f + f**a.
(f - 1)**2
Let b = 25 + -23. Factor -5*m - 3*m + 21*m**3 + 12*m**b - 25*m**3.
-4*m*(m - 2)*(m - 1)
Let m(a) be the first derivative of -3*a**5/5 + 3*a**4 - 6*a**3 + 6*a**2 - 3*a + 7. Suppose m(n) = 0. Calculate n.
1
Let i(u) be the first derivative of u**4/34 - 2*u**3/51 - 10. Suppose i(d) = 0. Calculate d.
0, 1
Let k = -1/22 - -53/198. Solve 8/9 + k*m**2 - 8/9*m = 0.
2
Let l(p) be the second derivative of -p**5/5 - p**4/3 + 2*p**3/3 + 2*p**2 + 8*p. Let l(r) = 0. Calculate r.
-1, 1
Let c(h) = 76*h**2 + 56*h + 44. Suppose -3*z - 4*t + 66 + 38 = 0, -2*t = -4*z + 124. Let o(g) = 7*g**2 + 5*g + 4. Let r(v) = z*o(v) - 3*c(v). Solve r(q) = 0.
-1
Suppose -13 = -3*x - 4. Factor -5*q**3 + 3*q**3 - q**4 + 4*q**x - q**4.
-2*q**3*(q - 1)
Let i(f) be the first derivative of -9/4*f**4 + 3/2*f**2 + 0*f - 6/5*f**5 + 0*f**3 + 9. Factor i(r).
-3*r*(r + 1)**2*(2*r - 1)
Let s be 6/60*48/2. Factor s*q + 3/5*q**4 + 0 + 3*q**3 + 24/5*q**2.
3*q*(q + 1)*(q + 2)**2/5
Let v(q) be the first derivative of -q**5/20 + q**4/8 + 3*q**2 + 2. Let n(u) be the second derivative of v(u). Determine w, given that n(w) = 0.
0, 1
Let k be 32/(-48) + 11/3. Suppose 3*r - 12 = -k. Factor 0*w + 0 - 2/9*w**5 + 0*w**2 + 2/9*w**r + 0*w**4.
-2*w**3*(w - 1)*(w + 1)/9
Let k(a) be the third derivative of a**7/140 + a**6/20 + 3*a**5/40 - a**4/4 - a**3 - 9*a**2. Factor k(f).
3*(f - 1)*(f + 1)*(f + 2)**2/2
Suppose 3*j - 7*j = -48. Let s = j + -3. Factor 9*c**3 + 2*c**4 - 6*c**5 - s*c**3.
-2*c**4*(3*c - 1)
Let r(k) be the second derivative of 0*k**3 + 1/10*k**6 + 0*k**5 + k + 0*k**2 - 1/4*k**4 + 0. Determine i, given that r(i) = 0.
-1, 0, 1
Solve 0 - 4/5*d + 14/5*d**2 - 14/5*d**4 + 4/5*d**3 = 0 for d.
-1, 0, 2/7, 1
Let g(n) = -2*n**3 - 6*n**2 - 2*n - 3. Let l be g(-3). Let f(s) be the third derivative of 1/240*s**5 + 0*s + 0*s**4 + 0 + 0*s**l - 2*s**2. Factor f(w).
w**2/4
Let z be (2 - 12/9)/((-6)/(-27)). Solve 1/2*y**2 + 0 - 1/4*y**4 - 1/4*y**z + 0*y = 0.
-2, 0, 1
Let h(b) be the third derivative of b**8/224 - b**7/140 + b**2. Determine s so that h(s) = 0.
0, 1
Factor -3/8*u - 1/2 + 1/8*u**2.
(u - 4)*(u + 1)/8
Let s(j) = j**3 - 14*j**2 + 13*j + 2. Let t be s(13). Determine x, given that -t*x**2 + x**4 - 4 + 3 + 2 = 0.
-1, 1
Suppose 4*m - 5 = 3. Let d be (1/4)/((-3)/(-6)). Factor s - 1/2*s**m - d.
-(s - 1)**2/2
Let p(u) = 18*u**2 + 79*u + 48. Let r(f) = -9*f**2 - 40*f - 24. Let d(g) = 2*p(g) + 5*r(g). Determine b, given that d(b) = 0.
-4, -2/3
Factor 2/3*q**3 + 0 + 0*q**2 + 0*q + 1/3*q**4 - 1/3*q**5.
-q**3*(q - 2)*(q + 1)/3
Let q(b) be the first derivative of 1/2*b**2 + 7/12*b**3 - 1/6*b**4 + 2 + b. Let w(c) be the first derivative of q(c). Find n, given that w(n) = 0.
-1/4, 2
Let h(m) be the third derivative of m**6/900 - m**5/150 + m**4/60 - m**3/45 - 7*m**2. Factor h(j).
2*(j - 1)**3/15
Suppose 0 = 5*d + 4 - 34. Let o be (-20)/30*d/(-8). Let 0 - o*x**2 - 1/2*x**3 + 1/2*x + 1/2*x**4 = 0. Calculate x.
-1, 0, 1
Let s(c) be the first derivative of -2*c**5/45 + c**4/6 + 10*c**3/27 - c**2/3 - 8*c/9 + 43. Determine w so that s(w) = 0.
-1, 1, 4
Let v(t) = -t**2 + 17*t - 5. Let y(x) = 2*x**2 - 26*x + 8. Let l(q) = -8*v(q) - 5*y(q). What is c in l(c) = 0?
-3, 0
Let f(v) = -42 + 18 - v - v. Let o be f(-13). Solve -2/7*n**4 - 4/7*n**o + 0*n - 4/7*n**5 + 0 + 10/7*n**3 = 0.
-2, 0, 1/2, 1
Determine s so that 26*s**2 - 17 - s**2 - 7*s**4 - 3 + 2*s**4 = 0.
-2, -1, 1, 2
Let c(k) = k**2 + 12*k + 3. Let y be c(-12). Let v be (-4 + 1)*(-2 + -1). Let 2 - 7*d**4 - y*d**5 + v*d**4 - 2 = 0. What is d?
0, 2/3
Let o(c) = 16*c**3 - 3*c**2 - 9*c - 3. Let j(f) = 3*f**2 + 0 - 5*f**2 + 3*f**2 - 1 + f**3. Let r(t) = j(t) - o(t). Determine z, given that r(z) = 0.
-2/5, -1/3, 1
Let n = -9 - -14. What is w in 7*w**4 - n*w**4 + w - w**3 - 4*w**3 + 2*w**3 = 0?
-1/2, 0, 1
Let d(x) be the third derivative of -x**6/600 + x**5/300 + 5*x**2. Factor d(c).
-c**2*(c - 1)/5
Let b(m) be the third derivative of -m**6/300 + m**4/20 + 2*m**3/15 - 3*m**2. Suppose b(j) = 0. What is j?
-1, 2
Let 0*c - 1/6*c**4 + 0*c**3 + 1/3*c**2 - 1/6 = 0. What is c?
-1, 1
Let c = 136 - 133. Factor 2*j**c + 0*j + 2/3*j**4 + 0 + 4/3*j**2.
2*j**2*(j + 1)*(j + 2)/3
Suppose -2*f + 33 - 1 = 0. Factor 4*k + 2 + 2*k**2 + f - 16*k.
2*(k - 3)**2
Let k(d) be the third derivative of 3/8*d**4 - 2*d**2 + 1/20*d**5 - 1/2*d**3 + 0*d + 0 - 3/40*d**6. Factor k(h).
-3*(h - 1)*(h + 1)*(3*h - 1)
Determine c, given that -12/7*c - 2/7*c**3 + 10/7*c**2 + 0 = 0.
0, 2, 3
Let q be (4/(-5) - (-20)/25) + 0. Factor 1/2*z**2 - z**3 + z - 1/2*z**4 + q.
-z*(z - 1)*(z + 1)*(z + 2)/2
Let x(c) be the second derivative of c**7/14 + 3*c**6/10 + 3*c**5/20 - 3*c**4/4 - c**3 - 28*c. Suppose x(d) = 0. What is d?
-2, -1, 0, 1
Let x(w) be the third derivative of 0*w**4 - 6*w**2 + 0*w**3 - 1/112*w**8 + 0*w**6 + 0 + 0*w**5 + 0*w - 1/70*w**7. Factor x(d).
-3*d**4*(d + 1)
Let r(u) be the second derivative of u**4/90 - u**3/15 + 2*u**2/15 + 12*u. Suppose r(m) = 0. Calculate m.
1, 2
Let o(m) = m**2 - 6*m + 2. Let i be o(6). Suppose -4*v + 5*v + l = 0, -4*v = 5*l + 2. Let -v*p**3 + 0*p - p - p**4 + p**i + 3*p**3 = 0. What is p?
-1, 0, 1
Let s(m) = -66*m**2 + 12. Let x(c) = 0*c**2 + 4*c**2 - 4*c**2 + 5*c**2 - 1. Let h(n) = -2*s(n) - 27*x(n). Factor h(l).
-3*(l - 1)*(l + 1)
Let c(g) be the third derivative of 1/3*g**4 + 0 + 1/105*g**7 + 1/15*g**6 - g**2 + 1/3*g**3 + 1/5*g**5 + 0*g. Solve c(z) = 0 for z.
-1
Suppose 5*d + 2 = 12. Find b such that b**d - b**5 - b**4 - b**4 + b**4 + b**3 = 0.
-1, 0, 1
Let x(l) be the second derivative of -3*l**5/50 + l**3/5 - 42*l. Factor x(i).
-6*i*(i - 1)*(i + 1)/5
Let v(d) be the second derivative of 3*d - 2/3*d**3 + 1/15*d**6 - d**2 + 0*d**4 + 1/5*d**5 + 0. Factor v(a).
2*(a - 1)*(a + 1)**3
Let k be ((-30)/54)/(1/(-1)). Let r(n) be the first derivative of 2*n**2 - 2 - 4/3*n - k*n**3. Factor r(d).
-(d - 2)*(5*d - 2)/3
Let s = 63 - 60. Let q(r) be the third derivative of 2/15*r**5 + 0*r + 0*r**s + 1/20*r**6 - 1/3*r**4 + 0 - r**2. Factor q(j).
2*j*(j + 2)*(3*j - 2)
Let p(z) = -z**2 + 3*z + 3. Let u be p(-2). Let n = -27/4 - u. Factor 0 + 1/4*b**2 + n*b.
b*(b + 1)/4
Suppose -259 = 5*s - 269. Find p, given that -1/2*p + 0 - p**s - 1/2*p**3 = 0.
-1, 0
Let l(a) be the third derivative of -a**6/600 - a**5/150 + 12*a**2 + a. Let l(v) = 0. What is v?
-2, 0
Let z be (1 + (-9)/6)*4. Let r(o) = o**3 + 3*o**2 + o. Let n be r(z). Find l such that -2 + 0*l + l**3 + l - 2*l**3 + n*l = 0.
-2, 1
Suppose -15 + 3 = y - 3*c, 0 = -y + 4*c - 16. Suppose 3*k - 4*w + 7 = y, k +