*3 = 0 for b.
0
Let o be ((-4)/(-6))/((-2)/(-9)). Factor -i**3 + i**2 - 2*i**4 - 2*i**4 + 5*i**4 - i**o.
i**2*(i - 1)**2
Suppose -m + 4 = -3*l, 3*l - 3*m = -4 - 8. Factor -2/9*a**5 + 2/3*a**4 + l + 0*a + 2/9*a**2 - 2/3*a**3.
-2*a**2*(a - 1)**3/9
Let l(m) be the first derivative of m**7/126 - m**6/90 - m**5/60 + m**4/36 - 5*m - 1. Let f(i) be the first derivative of l(i). Determine r so that f(r) = 0.
-1, 0, 1
Let o be (-5 - (-171)/19)*2/12. Find z, given that o + 1/3*z - 1/3*z**2 = 0.
-1, 2
Let f be 0 - 2 - (-1 + -3). Let w be (4 - 4)*f/2. Determine m, given that -6*m**2 + 10*m**3 - 22/3*m**4 + 4/3*m + 2*m**5 + w = 0.
0, 2/3, 1
Let o(g) be the third derivative of 0*g**4 + 0 + 1/18*g**3 - 4*g**2 - 1/180*g**5 + 0*g. Find h, given that o(h) = 0.
-1, 1
Let c(x) be the third derivative of 1/315*x**7 + 4*x**2 + 0*x**5 + 0*x - 1/72*x**4 + 0*x**3 + 1/120*x**6 + 0. What is u in c(u) = 0?
-1, 0, 1/2
Suppose -2*o + 1 - 1 + 2*o**3 = 0. What is o?
-1, 0, 1
Let a(y) = 3*y**5 - 9*y**4 + 9*y**3 - 3*y**2 + 8*y + 8. Let w(f) = -f**5 + 3*f**4 - 3*f**3 + f**2 - 3*f - 3. Let z(q) = 3*a(q) + 8*w(q). Solve z(k) = 0.
0, 1
Suppose 0*g**5 - 12*g**5 - 3*g + 9*g**4 - 9*g**2 + 0*g**5 + 15*g**3 = 0. What is g?
-1, -1/4, 0, 1
Let y(u) be the third derivative of u**9/9072 - u**7/1260 + u**5/360 + u**3/6 - 5*u**2. Let d(x) be the first derivative of y(x). Find z, given that d(z) = 0.
-1, 0, 1
Let g(k) be the first derivative of -30/7*k**3 + 2 - 8/7*k - 25/14*k**4 - 24/7*k**2. Let g(x) = 0. What is x?
-1, -2/5
Determine d, given that 0*d - 2/3*d**2 + 0 - 1/3*d**3 = 0.
-2, 0
Let s(v) be the second derivative of -v**4/84 + v**3/42 - 4*v. Suppose s(n) = 0. What is n?
0, 1
Factor 0 + 0*j**4 - 6/7*j**3 + 6/7*j**5 + 0*j**2 + 0*j.
6*j**3*(j - 1)*(j + 1)/7
Factor 1/2*j**3 + 3/2*j - 1/2 - 3/2*j**2.
(j - 1)**3/2
Let m(s) = -s**3 + 3*s**2 + s - 1. Let w be m(3). Suppose w*k = 8 - 4. Factor q + q**3 - q**2 + 5*q**4 - 4*q**4 - k*q.
q*(q - 1)*(q + 1)**2
Let y(d) be the first derivative of 7 + 4/3*d**3 - 4*d + 0*d**2. Factor y(k).
4*(k - 1)*(k + 1)
Let y(h) = -h**2 + h - 1. Let d(o) = o**3 - 5*o - 1. Let x(s) = d(s) - 5*y(s). Let a(v) = -2*v**3 - 4*v**2 + 11*v - 5. Let n(r) = 4*a(r) + 5*x(r). Factor n(u).
-3*u*(u - 2)*(u - 1)
Factor -k**2 + 84*k**4 - k**2 - 86*k**4 - 4*k**3.
-2*k**2*(k + 1)**2
Let n(t) be the first derivative of 5*t**4/8 + 10*t**3/3 + 5*t**2 + 2. Suppose n(u) = 0. Calculate u.
-2, 0
Let a(v) = v**2 - 9*v - 8. Let s be a(10). Suppose -z - 5 = -s*z. Suppose 2/5*r + 4/5*r**2 + 0*r**3 - 4/5*r**4 + 0 - 2/5*r**z = 0. Calculate r.
-1, 0, 1
Let r(v) be the second derivative of -3/80*v**5 + 1/48*v**4 + 0 - 2*v + 1/8*v**3 - 1/8*v**2. Solve r(s) = 0.
-1, 1/3, 1
Let r(d) be the second derivative of d**5/20 - 2*d**4/3 + d**3 + 9*d**2/2 - 2*d. Let a be r(7). Factor t**4 - 4*t**4 - 2*t**a + 5*t**4.
2*t**2*(t - 1)*(t + 1)
Suppose -8*r + 827 = 811. What is q in -r + q + 3/4*q**3 + 5/2*q**2 = 0?
-2, 2/3
Let f be 0 + (-3)/1 - (-10 - -5). Let u = 55/111 - 6/37. Factor -1/3*c**f + 0*c + u.
-(c - 1)*(c + 1)/3
Let y = 383 - 381. Determine g so that -6/5*g**y + 0 + 6/5*g**3 + 2/5*g - 2/5*g**4 = 0.
0, 1
Let k(b) be the first derivative of -4 - 1/3*b**3 - 3/2*b**2 + 0*b. Factor k(v).
-v*(v + 3)
Let q(r) be the second derivative of 3/2*r**2 + 0 + 6*r + 1/2*r**4 + 2*r**3 - 3/5*r**5 - 3/10*r**6. Determine x, given that q(x) = 0.
-1, -1/3, 1
Let q = 978 + -2933/3. Let q*t**2 + 1/3 - 2/3*t = 0. What is t?
1
Let g(a) = -a + 1. Let z be g(-3). Determine y so that -z*y**2 + 2*y**2 - 3*y - 3*y**3 - 3*y - 7*y**2 = 0.
-2, -1, 0
Let j(f) be the first derivative of f**8/420 - f**6/90 + f**3/3 + 6. Let v(o) be the third derivative of j(o). Factor v(y).
4*y**2*(y - 1)*(y + 1)
Let z = -1943/2 + 942. Let p = z + 30. Solve 0 + 0*a**2 + 1/4*a**4 - p*a**3 + 0*a = 0.
0, 2
Let l(n) be the third derivative of -n**5/210 - 5*n**4/42 - 25*n**3/21 - 34*n**2. Factor l(q).
-2*(q + 5)**2/7
Solve -27/5*f**4 + 0 + 63/5*f**3 - 48/5*f**2 + 12/5*f = 0 for f.
0, 2/3, 1
Let d(i) be the second derivative of -i**7/840 - i**6/240 + i**5/20 + i**4/12 + 5*i. Let g(l) be the third derivative of d(l). Find w such that g(w) = 0.
-2, 1
Determine h, given that 36/5*h + 108/5 + 3/5*h**2 = 0.
-6
Let r(m) = -m**2. Let d(n) = 9*n**2 - 3*n. Let i(q) = d(q) + 6*r(q). Factor i(h).
3*h*(h - 1)
Let l(d) = d**2 + 2*d - 4. Let k be l(4). Let w be (16/(-20))/((-104)/k). Factor 8/13*g + 8/13 + w*g**2.
2*(g + 2)**2/13
Suppose 3*u - 5*u + 4 = 0. Let q(p) be the first derivative of 1 + 2/3*p**3 + u*p - 2*p**2. Factor q(v).
2*(v - 1)**2
Let j(w) be the third derivative of -1/20*w**5 + 1/40*w**6 + w**2 + 1/24*w**4 + 0 + 0*w + 0*w**3 - 1/210*w**7. Find y, given that j(y) = 0.
0, 1
Let n(k) = k**3 + k**2 - k. Let m(f) = -8*f**3 - 17*f**2 - 7*f. Let o(q) = -m(q) - 5*n(q). Let o(l) = 0. Calculate l.
-2, 0
Suppose -3*l - 3*w = -21, 0 = -4*l - 3*w + 15 + 12. Let c be (l/15)/(1/5). Let -3*g**2 - 5 + 5*g**c + 3 = 0. Calculate g.
-1, 1
Factor -2/7*z**4 - 64/7*z - 32/7 - 48/7*z**2 - 16/7*z**3.
-2*(z + 2)**4/7
Let h(y) = y**2 - 63*y + 63*y - 1 + y**3 + y**4. Let g(n) = -8*n**4 - 8*n**3 - 6*n**2 + 6. Let i(r) = g(r) + 6*h(r). Determine b, given that i(b) = 0.
-1, 0
Suppose 0 = 2*o - 7*o + 15. Suppose -f**4 - f - 4 + f + 2*f**2 + o = 0. Calculate f.
-1, 1
Let x(j) be the second derivative of -j**5/20 - 3*j. Factor x(k).
-k**3
Let q(f) be the second derivative of -3*f**5/10 - 2*f**4/3 + 5*f**3/3 + 2*f**2 - 2*f. Suppose q(n) = 0. Calculate n.
-2, -1/3, 1
Let l(d) be the third derivative of d**6/160 + d**5/20 + d**4/32 - 3*d**3/4 - 22*d**2. Factor l(y).
3*(y - 1)*(y + 2)*(y + 3)/4
Solve 33*w - 30*w + w**4 - 6*w**2 - 3*w**5 + 5*w**4 = 0.
-1, 0, 1
Let x(s) = -s**3 + 3*s + 2. Let h = -17 + 19. Let f be x(h). Find r, given that 24*r**4 + f*r + 24*r**5 - 3/2*r**3 - 3/2*r**2 + 0 = 0.
-1, -1/4, 0, 1/4
Suppose -24 - 5 = f. Let j = f - -31. Factor 6/7 - 3/7*z**j + 3/7*z.
-3*(z - 2)*(z + 1)/7
Let j(f) be the second derivative of -f**8/40320 + f**6/1440 - f**5/360 - f**4/3 + 5*f. Let i(q) be the third derivative of j(q). Suppose i(t) = 0. Calculate t.
-2, 1
Let o(f) be the third derivative of -f**2 + 0*f + 0 + 0*f**4 + 0*f**6 + 1/15*f**5 - 1/3*f**3 - 1/105*f**7. Let o(w) = 0. Calculate w.
-1, 1
Let x(k) be the second derivative of -k**4/3 + 4*k**3/3 - 2*k**2 + 8*k. Factor x(y).
-4*(y - 1)**2
Let h(l) = l**2 + 14*l + 2. Let w be h(-14). Factor 0 + 2/5*s - 2/5*s**w.
-2*s*(s - 1)/5
Let u(l) be the second derivative of -l**7/105 - l**6/75 + l**5/25 + l**4/15 - l**3/15 - l**2/5 + l. Factor u(m).
-2*(m - 1)**2*(m + 1)**3/5
Let v = -43 + 47. Find q, given that 0 + 1/4*q - 1/2*q**3 + 0*q**2 + 1/4*q**5 + 0*q**v = 0.
-1, 0, 1
Let q(r) = -5*r**2 + 4*r - 3. Let n(p) = -p**2 + p. Let x(b) = 6*n(b) - q(b). Let x(t) = 0. What is t?
-1, 3
Let k be ((-2)/4)/(3/(-2)). Let b be (-7 + 13)*1/2. Factor 1/3*d**b + 1/3 - k*d - 1/3*d**2.
(d - 1)**2*(d + 1)/3
Let q(c) be the second derivative of 0*c**3 - 2/15*c**4 - c + 8/25*c**5 + 0*c**2 - 7/75*c**6 + 0. Factor q(b).
-2*b**2*(b - 2)*(7*b - 2)/5
Factor 3 + 3/2*t - 3/2*t**2.
-3*(t - 2)*(t + 1)/2
Let i(w) be the second derivative of 0*w**2 + 0 - 1/2*w**5 + 2*w + 0*w**3 - 1/3*w**4 - 1/21*w**7 - 4/15*w**6. Factor i(v).
-2*v**2*(v + 1)**2*(v + 2)
Let m(j) = 4*j**4 - 7*j**3 - 12*j**2 - 8*j - 7. Let t(z) = 2*z**4 - 3*z**3 - 6*z**2 - 4*z - 3. Let s(o) = -3*m(o) + 7*t(o). Let s(l) = 0. What is l?
-1, 0, 2
Let v(p) = -3*p**3 + 3*p**2 + 2. Let m(u) be the third derivative of u**6/30 - u**5/15 - u**3/2 - 2*u**2. Let r(j) = 2*m(j) + 3*v(j). Solve r(c) = 0.
0, 1
Suppose 3*i**2 - 12*i - 1/4*i**3 + 16 = 0. Calculate i.
4
Let s(j) be the second derivative of 4*j**5/5 - 3*j**4 + 4*j**3 - 2*j**2 + 9*j. Suppose s(h) = 0. What is h?
1/4, 1
Let h(s) = 2*s**2 + s. Let q be h(-2). Suppose -q = -2*i - 0. Find b such that -4/11*b**5 - 6/11*b**i + 0 - 10/11*b**4 + 2/11*b**2 + 2/11*b = 0.
-1, 0, 1/2
Suppose -7/2*v - 1/4*v**2 - 49/4 = 0. Calculate v.
-7
Let q(t) be the second derivative of -5*t**7/42 - 5*t**6/6 - 2*t**5 - 5*t**4/3 - 11*t. Solve q(s) = 0 for s.
-2, -1, 0
Let o(z) = 31*z - 370. Let i be o(12). Let -3/5*h**3 - 3/5*h + 0 + 6/5*h**i = 0. Calculate h.
0, 1
Factor -4*f**2 + 9*f**2 - 4*f**2 - f - 2.
(f - 2)*(f + 1)
Suppose -5*x + 25 = 5*f, -2*f - 2*x = -4*x - 2. Let l be (1/4)/((-