= 0. Calculate a.
0, 1
Let o(d) be the second derivative of -d**7/84 - d**6/30 - d**5/40 + 8*d. Solve o(t) = 0.
-1, 0
Let h(y) be the first derivative of y**8/560 + y**7/140 - y**5/20 - y**4/8 + 4*y**3/3 - 1. Let w(p) be the third derivative of h(p). Factor w(x).
3*(x - 1)*(x + 1)**3
Let i(j) = -9*j**2 - 6*j + 3. Let f(c) = -19*c**2 - 13*c + 6. Let w(v) = 6*f(v) - 13*i(v). Factor w(k).
3*(k - 1)*(k + 1)
Let x(g) = -9*g**3 + 8*g**2. Let o(m) = 3*m**3 - 3*m**2. Let z(k) = -17*o(k) - 6*x(k). Suppose z(l) = 0. Calculate l.
-1, 0
Let j be 0 + 3/(-2) - -2. Let m be (-96)/(-51) - (-4)/34. Factor j*x**m + 0 - 1/2*x.
x*(x - 1)/2
Let f = 952627/21 - 45351. Let b = -76/7 + f. Solve -2/3*q**2 + b*q - 2/3 = 0.
1
Let c(w) be the first derivative of w**5 - 5*w**3/3 - 55. What is f in c(f) = 0?
-1, 0, 1
Let z be 26/6 + -7*4/(-42). Find u such that -7/3*u**3 - 5*u**4 + 1/3*u + u**2 + 0 + 6*u**z = 0.
-1/3, 0, 1/2, 1
Let x(h) = 6*h**2 - 2*h - 4. Let r(z) = -5*z**2 + 2*z + 3. Let c(i) = -7*r(i) - 6*x(i). Suppose c(j) = 0. What is j?
-3, 1
Let h(m) be the first derivative of m**7/42 + m**6/10 + 3*m**5/20 + m**4/12 - m - 1. Let x(w) be the first derivative of h(w). Determine l, given that x(l) = 0.
-1, 0
Suppose 5*j - 2*v - 3*v = -25, -10 = 5*j - 2*v. Let z(d) be the first derivative of -3/4*d**2 + j*d - 1/2*d**3 - 3. Factor z(o).
-3*o*(o + 1)/2
Let k be 2/(-2) - 120/(-135). Let z = 7/18 - k. Solve z*g**3 + 0*g + 0 + 1/2*g**4 - 1/2*g**2 - 1/2*g**5 = 0 for g.
-1, 0, 1
Factor 5 - 7*i**2 - 12*i**3 + 12*i + 3*i**2 + 3 - 2*i**4 - 2*i**4.
-4*(i - 1)*(i + 1)**2*(i + 2)
Let k(g) be the first derivative of -g**5/5 + g**4/4 - 1. Find w, given that k(w) = 0.
0, 1
Let v(r) = -r + 1. Let d(z) = 3*z**2 + z - 4. Let m(l) = -l**5 + l**3 + l**2 - l. Let h(j) = d(j) - 3*m(j). Let g(y) = h(y) + 4*v(y). Factor g(q).
3*q**3*(q - 1)*(q + 1)
Let o be 6/39 - 126/(-26). Suppose 0 = -3*i + 2*i + 3. Factor 2*v**i - v**4 + o*v**4 + 0*v**4.
2*v**3*(2*v + 1)
Let a(g) be the first derivative of g**3/6 + g**2/2 + g/2 + 2. Factor a(i).
(i + 1)**2/2
Determine x so that -2/5*x**5 + 0 + 2/5*x + 4/5*x**4 - 4/5*x**2 + 0*x**3 = 0.
-1, 0, 1
Let x be 1 + 7/((-7)/(-32)). Let f be ((-11)/x)/(3/(-4)). Suppose -2/9*r + 4/3*r**2 - f + 4/9*r**4 + 14/9*r**3 = 0. Calculate r.
-2, -1, 1/2
Let h(v) be the first derivative of v**7/147 - v**6/35 + 3*v**5/70 - v**4/42 + 7*v - 3. Let y(i) be the first derivative of h(i). Factor y(z).
2*z**2*(z - 1)**3/7
Let v(q) be the third derivative of -q**7/1365 + q**6/52 - 5*q**5/26 + 125*q**4/156 - 16*q**2. Solve v(b) = 0 for b.
0, 5
Let g(c) be the first derivative of c**5/10 + 3*c**4/2 + 26*c**3/3 + 24*c**2 + 32*c + 44. Determine h so that g(h) = 0.
-4, -2
Let k(y) be the second derivative of -y**6/285 - 23*y. Factor k(a).
-2*a**4/19
Determine z so that -5 + 32*z + 108*z**2 + 76*z**3 + 16*z**4 + 0*z - 4 - 7 = 0.
-2, -1, 1/4
Determine z so that 2/7*z**2 + 2/7*z - 2/7 - 2/7*z**3 = 0.
-1, 1
Let z(x) be the third derivative of x**6/660 + 8*x**2. Factor z(a).
2*a**3/11
Suppose 1 = f - 2*f. Let y be f/(-2) + (-51)/(-2). Factor -r**3 + y - 26 + 2*r**2 - r.
-r*(r - 1)**2
Let n be -1*5*(-32)/(-20). Let k = -5 - n. Factor 2*c**2 - 2*c - 3 + k.
2*c*(c - 1)
Let f(h) be the second derivative of -h**7/168 - h**6/40 - h**5/80 + h**4/16 + h**3/12 - 4*h. What is y in f(y) = 0?
-2, -1, 0, 1
Find j such that 4 - 1/4*j**3 - 2*j - 7/4*j**2 = 0.
-4, 1
Suppose 0 = l, 5*y - 3*l = 2*l + 50. Suppose d - y = -4*d. Factor -1/4*m**3 + 1/4*m - 1/4*m**4 + 1/4*m**d + 0.
-m*(m - 1)*(m + 1)**2/4
Let a(u) = -2*u - 15. Let q be a(5). Let j be -2 + 20/q + 4. Suppose 2/5*r - j*r**2 + 2/5*r**4 + 4/5 - 2/5*r**3 = 0. Calculate r.
-1, 1, 2
Factor 16/5*z**2 + 0*z - 4/5*z**3 + 0.
-4*z**2*(z - 4)/5
Suppose p - 6*p + 4*a + 30 = 0, -2*p = 5*a - 12. Factor -8*l**2 + 3*l**3 - p*l + 3*l**2 + 0*l**2 + 2*l**2.
3*l*(l - 2)*(l + 1)
Let j = 16 - 13. Factor 11*m + 6*m**2 - 4*m**j + m**3 - 14*m.
-3*m*(m - 1)**2
Let d(a) be the second derivative of 5*a + 0 - 1/18*a**4 + 4/3*a**2 + 0*a**3. Factor d(m).
-2*(m - 2)*(m + 2)/3
Let d(l) be the second derivative of -1/12*l**4 - 1/80*l**5 + 0*l**2 + 0 - 1/6*l**3 + 5*l. Factor d(h).
-h*(h + 2)**2/4
Let b(v) = -6*v**5 - 6*v**4 + 2*v**3 + 2*v**2 - 2. Let w(x) = 25*x**5 + 23*x**4 - 9*x**3 - 9*x**2 + 9. Let l(s) = 9*b(s) + 2*w(s). Factor l(t).
-4*t**4*(t + 2)
Let n(j) be the third derivative of j**6/420 - j**5/140 - j**4/84 + j**3/14 + 2*j**2. Factor n(t).
(t - 1)*(t + 1)*(2*t - 3)/7
Let r(m) be the second derivative of m**5/5 + m**4/3 - 10*m**3/3 + 6*m**2 - 35*m. Suppose r(k) = 0. What is k?
-3, 1
Let t = 35/204 + -3/34. Let z(n) be the third derivative of -n**2 - 1/96*n**4 - 1/240*n**5 + 0*n + 0 + t*n**3. Factor z(v).
-(v - 1)*(v + 2)/4
Let a(s) = 2*s**3 - 2*s**2 + s + 2. Let n(o) = 2*o**3 - 2*o**2 + 2. Let w(u) = 2*a(u) - 3*n(u). Factor w(j).
-2*(j - 1)**2*(j + 1)
Suppose 4*h + 5 = 3*j + 5*h, -4*j + 3*h = -24. Let x be (-2)/5 - 5/(125/(-70)). Factor 0 - 3/5*v**4 + 6/5*v + x*v**j - 3*v**2.
-3*v*(v - 2)*(v - 1)**2/5
Let h(d) be the third derivative of -d**8/112 + d**7/70 + d**6/20 - d**5/10 - d**4/8 + d**3/2 + 6*d**2. Let h(z) = 0. What is z?
-1, 1
Solve 1/6*a**2 + 2/3 - 5/6*a = 0 for a.
1, 4
Let c(g) be the second derivative of -g**7/2 - 3*g**6 - 129*g**5/20 - 6*g**4 - 2*g**3 - 2*g. Solve c(n) = 0 for n.
-2, -1, -2/7, 0
Let k(i) be the third derivative of i**5/360 - 11*i**4/144 - 14*i**2. Solve k(w) = 0.
0, 11
Let d(v) = v**3 + 2*v**2 - v. Let p(f) = -f - 12. Let a be p(-11). Let s(q) = q. Let o(w) = a*d(w) - 2*s(w). Find x such that o(x) = 0.
-1, 0
Let p(j) = 8*j**5 - 8*j**4 - 3*j - 3. Let k(l) = l**5 - l**4 - l - 1. Let v(c) = 3*k(c) - p(c). Suppose v(t) = 0. Calculate t.
0, 1
Factor -8 + 2*r**2 - 10 + 22 + 6*r.
2*(r + 1)*(r + 2)
Let l = -234 + 234. Suppose 2/5*a**2 + l + 6/5*a = 0. Calculate a.
-3, 0
Let h(j) be the first derivative of 1/2*j**4 - 1/3*j**3 - 1 - j**2 + 1/5*j**5 + 0*j. Factor h(x).
x*(x - 1)*(x + 1)*(x + 2)
Let j(q) be the third derivative of -q**9/211680 - q**8/23520 - q**7/5880 - q**6/2520 + q**5/30 - 2*q**2. Let l(u) be the third derivative of j(u). Factor l(k).
-2*(k + 1)**3/7
Let p(j) be the second derivative of 1/6*j**4 - 4*j - j**3 + 0 + 2*j**2. Factor p(f).
2*(f - 2)*(f - 1)
Let c(v) = -10*v**4 + 20*v**2 + 5*v - 5. Let m(w) = -11*w**4 + 21*w**2 + 4*w - 6. Let n(a) = 6*c(a) - 5*m(a). Factor n(j).
-5*j*(j - 2)*(j + 1)**2
Let o(u) be the second derivative of -u**4/60 + 2*u**3/15 - 2*u**2/5 - 22*u. Factor o(h).
-(h - 2)**2/5
Let p(i) be the first derivative of 0*i - 1/6*i**2 + 1 + 1/9*i**3. Factor p(z).
z*(z - 1)/3
Suppose -3*a = -2*a - 5. Suppose -a*m = -4 - 6. Determine v, given that 2/5*v**3 + 0*v + 0 + 4/5*v**m = 0.
-2, 0
Factor -1/3*i**3 + 4/3*i**2 + 0 - 4/3*i.
-i*(i - 2)**2/3
Let j = 298/57 - -2/19. Let w be (-10 - 0)*2/(-5). Factor -2/3*h**5 + 8/3*h**2 + 10/3*h**w - j*h**3 + 0 + 0*h.
-2*h**2*(h - 2)**2*(h - 1)/3
Let f = 13 + -13. Let t(w) be the third derivative of -1/6*w**3 + 3/16*w**4 - 1/10*w**5 + 1/48*w**6 + f*w - 2*w**2 + 0. Find s such that t(s) = 0.
2/5, 1
Let a(l) be the third derivative of l**8/20160 - l**7/2520 + l**6/720 + l**5/20 - l**2. Let p(i) be the third derivative of a(i). Factor p(s).
(s - 1)**2
Suppose 14 = 3*b + n, -5*n + 9 = -16. Suppose 3*z**2 - z**3 - z**3 - 3*z**5 - 6*z - b*z**4 + 11*z**3 = 0. What is z?
-2, -1, 0, 1
Let h(z) be the second derivative of -z**5/40 + z**4/16 - 3*z**2/2 - 2*z. Let o(y) be the first derivative of h(y). What is q in o(q) = 0?
0, 1
Let i be -1 + ((-842)/(-168) - 4). Let u(y) be the third derivative of 0*y**3 + 0 + 1/210*y**5 + i*y**4 + 0*y - y**2. Factor u(g).
2*g*(g + 1)/7
Suppose 2*w = 3 + 1. Let m(x) be the first derivative of 2/21*x**3 + 8/7*x + 4/7*x**w + 2. Let m(t) = 0. What is t?
-2
Suppose 7*t - 2*t = -4*l + 265, 0 = -2*l + 10. Let i be 56/t*(-7)/(-2). Factor -1/5*a**i + a**3 + 4/5*a - 8/5*a**2 + 0.
-a*(a - 2)**2*(a - 1)/5
Let q(y) be the third derivative of -y**5/20 + 2*y**3 - 11*y**2. Solve q(u) = 0.
-2, 2
Factor 0 + 2/7*u - 8/7*u**3 - 6/7*u**2.
-2*u*(u + 1)*(4*u - 1)/7
Suppose -5*t**2 - 5*t**3 - 5*t**5 + 10*t**3 + 6*t**4 - t**4 = 0. Calculate t.
-1, 0, 1
Let g be (-2)/13 + (-87)/26 - -4. Let t(b) be the second derivative of 0 - 1/12*b**4 - 2*b - b**2 - g*b**3. Let t(w) = 0. What is w?
-2, -1
Factor 