*p - 5. Let w(f) = s*u(f) - 5*d(f). Factor w(g).
3*g*(g + 1)**2
Let h be (-30)/(-56) - 2/7. Let r(t) be the first derivative of -2 - h*t + 1/4*t**2 - 1/12*t**3. Determine v so that r(v) = 0.
1
Let d be (8/(-21))/4*-6. Find i such that 6/7*i + 2/7 + d*i**2 = 0.
-1, -1/2
Suppose 5*f - 4*f - 1 = 0. Let y be (-1)/f + 7 + -2. Factor -5*b + y*b**4 + 3*b**4 - 6*b**2 - b**2 + 2*b**3 + 3*b.
b*(b - 1)*(b + 1)*(7*b + 2)
Let p(x) = 24*x**2 - 4*x + 2. Let o(i) = i**2 - 1. Let b(q) = -4*o(q) - 2*p(q). Factor b(d).
-4*d*(13*d - 2)
Let k be 17 + -21 + (-161)/(-40). Let c(m) be the second derivative of 0 - 2*m - 1/24*m**4 + 0*m**2 + 0*m**3 - k*m**5. Solve c(p) = 0.
-1, 0
Let o(z) = -z**2 + 7*z + 3. Suppose -7 = l - 2*l. Let q be o(l). Factor 0 - 1/4*p + 1/2*p**4 + 0*p**2 + 3/4*p**q.
p*(p + 1)**2*(2*p - 1)/4
Suppose -1/3*i - 1/6*i**2 + 1/2 = 0. Calculate i.
-3, 1
Let n(f) be the second derivative of -4*f**7/105 + 4*f**6/45 - f**5/12 + f**4/24 - f**3/3 - 4*f. Let r(l) be the second derivative of n(l). Factor r(p).
-(2*p - 1)*(4*p - 1)**2
Let j = -1514/3 - -505. Solve j*s**5 - 4/3*s**2 + 2/3*s**4 + 1/3*s + 2/3 - 2/3*s**3 = 0.
-2, -1, 1
Factor -2/5*s - 13/10*s**3 - 6/5*s**2 - 3/5*s**4 - 1/10*s**5 + 0.
-s*(s + 1)**2*(s + 2)**2/10
Let l(x) = 7*x**2 - 9*x - 3. Let h(n) = -n**2 + n + 1. Let a(z) = -z + 9. Let b be a(10). Let j(q) = b*l(q) - 5*h(q). Suppose j(g) = 0. What is g?
1
Determine c, given that -2*c**5 - 162*c + 216*c**2 + 40*c**3 + 24*c**4 - 91*c**3 - 57*c**3 = 0.
0, 3
Let x = 149 - 149. Factor x + 0*y**2 + 0*y - 1/2*y**3.
-y**3/2
Let b(d) = -6*d**3 + 16*d**2 - 33*d + 9. Let g be (12 - 9) + (1 - 1). Let c(x) = 11*x**3 - 33*x**2 + 66*x - 18. Let n(a) = g*c(a) + 5*b(a). Factor n(w).
(w - 3)**2*(3*w - 1)
Suppose 9*p - 9 = 6*p. What is j in 32*j + 2 - 15 + 0*j + 20*j**2 - p = 0?
-2, 2/5
Let -o**3 + 0*o**3 - 73*o**2 - 7*o + 78*o**2 + 3 = 0. Calculate o.
1, 3
Let v(a) be the first derivative of a**4/5 + 16*a**3/15 + 6*a**2/5 + 20. Factor v(y).
4*y*(y + 1)*(y + 3)/5
Let t(n) = n**2 + 2*n - 4. Let d(b) = -2*b**2 - b + 4. Suppose a = 2*a - 3. Let z(g) = a*t(g) + 2*d(g). Factor z(r).
-(r - 2)**2
Let m be (3/(-45))/((-18)/60). Factor 2/9*y - m*y**2 + 0 + 2/9*y**4 - 2/9*y**3.
2*y*(y - 1)**2*(y + 1)/9
Suppose -q + 3 = -2. Factor -2*p**4 - 5*p**4 + 2*p**4 - 10*p**2 + p**q + 10*p**3 + 5*p - 1.
(p - 1)**5
Let y be (-204)/(-144) - 9/12. Let 2/3*f**2 + 0*f - y = 0. Calculate f.
-1, 1
Let t(i) = -14*i**2 - 17*i + 2. Let r(x) = -69*x**2 - 84*x + 9. Let p(v) = 5*r(v) - 24*t(v). Suppose p(q) = 0. What is q?
-1, -1/3
What is b in -8/11*b - 10/11*b**3 + 16/11*b**2 + 2/11*b**4 + 0 = 0?
0, 1, 2
Let g(o) = o**2 + 15*o - 19. Let t be g(-16). Let a = t - -5. Factor -3/2*j - a*j**2 + 1/2*j**3 + 9/4*j**4 - 1/4 + j**5.
(j - 1)*(j + 1)**3*(4*j + 1)/4
Solve 3*x**3 - 2*x**4 - 16*x**3 + 4*x**3 - 3*x**5 - 3*x**2 - 7*x**4 = 0.
-1, 0
Let b(m) be the second derivative of -m**8/8960 - m**4/2 - 6*m. Let v(y) be the third derivative of b(y). Determine k, given that v(k) = 0.
0
Let o(r) = 2*r**3 + 2*r**2 - 2*r + 3. Let a be o(2). Let x = 23 - a. Find n, given that 0*n + 2/9*n**2 + x = 0.
0
Let a be (7/40)/(2/4). Let z = a - -3/20. Let -z*r - 1/2*r**4 - 1/2 + r**3 - 1/2*r**5 + r**2 = 0. What is r?
-1, 1
Suppose -3*o - 6 = -3*w, 3*o + 5*w = -8 - 38. Let q(c) = -2*c - 10. Let h be q(o). Suppose 9*k**2 - 9*k**3 + 0*k**4 + 2*k + 3*k**h - 5*k = 0. Calculate k.
0, 1
Let v(j) be the second derivative of -j**6/10 + 3*j**5/5 + 4*j + 3. Find r, given that v(r) = 0.
0, 4
Let c = -10 + 2. Let s = c + 10. Factor -1/3*x - 2/3*x**s + 0 + 7/3*x**3 - 4/3*x**4.
-x*(x - 1)**2*(4*x + 1)/3
Suppose 6*q + 4 = 4*q. Let x = 5 + q. Let -1 + 2*m**2 + 1 + m**3 - m - 2*m**x = 0. What is m?
0, 1
Suppose 3*n - 16 = 5*h, 5*n - 16 = -h + 4*h. Factor p**4 + 56*p**3 - 58*p**3 + 2*p + p**4 - 2*p**n.
2*p*(p - 1)**2*(p + 1)
Let g = -2855/24 - -119. Let o(q) be the third derivative of -1/24*q**3 + g*q**4 + 2*q**2 + 1/120*q**5 + 0 - 1/40*q**6 - 3/280*q**7 + 0*q. Factor o(h).
-(h + 1)**2*(3*h - 1)**2/4
Let s(w) be the second derivative of 3*w + 1/6*w**4 + 0 - 2/9*w**3 - 1/3*w**2. Solve s(a) = 0.
-1/3, 1
Let o be 1 + -4 - (-1403)/427. Factor 0*d - 2/7*d**2 + o*d**3 + 0.
2*d**2*(d - 1)/7
Let v(p) be the third derivative of p**7/210 + p**6/40 + p**5/20 + p**4/24 + 14*p**2. Suppose v(m) = 0. What is m?
-1, 0
Let k be (1*-2)/(-10) - (-28)/60. Factor 0*o + 1/3*o**5 + 4/3*o**4 + 5/3*o**3 + 0 + k*o**2.
o**2*(o + 1)**2*(o + 2)/3
Let g(w) = -w**3 - w. Let r(q) = 8*q**2 - 8*q**2 - q - 3*q**3 + 3*q**4 - 5*q. Let i(p) = -6*g(p) + r(p). Factor i(y).
3*y**3*(y + 1)
Let s(z) = 4*z**5 + 8*z**4 - 14*z**3 + 2*z. Let l(y) = -13*y**5 - 23*y**4 + 43*y**3 - 7*y. Let d(k) = 4*l(k) + 14*s(k). Factor d(j).
4*j**3*(j - 1)*(j + 6)
Suppose 6 = 4*r - r. Let l = 32 - 20. Factor l*o**r + 2*o**2 - 4 - o - 9*o.
2*(o - 1)*(7*o + 2)
Let j(w) = -w**4 + w**3 + 1. Let x(k) = 20*k**4 - 25*k**3 + 5*k**2 - 25. Let o(v) = -25*j(v) - x(v). Determine g so that o(g) = 0.
-1, 0, 1
Solve 16/5*l - 6/5*l**3 + 24/5 - 34/5*l**2 = 0 for l.
-6, -2/3, 1
Solve -8/7 + 32/7*g + 10/7*g**3 - 34/7*g**2 = 0 for g.
2/5, 1, 2
Let b = 8 + -15. Let f be 1/(-3) - b/3. Factor 4*a**f + a**2 - 3*a**2 - 2*a + 2*a**3 - 2.
2*(a - 1)*(a + 1)**2
Let c(m) be the first derivative of -m**4/28 + m**3/7 - m**2/7 + 2. Factor c(j).
-j*(j - 2)*(j - 1)/7
Let b(y) be the second derivative of 1/10*y**6 - 1/6*y**2 + 1/3*y**3 - 1/10*y**5 - 2/9*y**4 + y + 0. Let b(g) = 0. What is g?
-1, 1/3, 1
Let c = 6581/7 - 938. Suppose 50/7*z**3 + 2/7 + z**5 + 30/7*z**4 + 40/7*z**2 + c*z = 0. Calculate z.
-1, -2/7
Let s(z) be the third derivative of -z**2 - 3/32*z**4 + 0*z + 1/12*z**3 + 0 - 1/48*z**5. What is d in s(d) = 0?
-2, 1/5
Let f = -35 + 37. Let 2/5*n + 2/5 - 2/5*n**f - 2/5*n**3 = 0. What is n?
-1, 1
Let g be (-1 - 2*-2) + 0. Let n = 7 + -4. Solve n*j**3 - 5 + j**4 + 5 + j + g*j**2 = 0.
-1, 0
Factor -3/4*x**3 + 3/4*x**4 + 3/4*x + 0 - 3/4*x**2.
3*x*(x - 1)**2*(x + 1)/4
Factor -8 + d**2 + 5 + d**2 + d**2.
3*(d - 1)*(d + 1)
Let o = -7 + 10. Suppose 0 = -o*q + 2*q. Factor 0*a**3 + 0*a**4 + 0 + 0*a**2 + q*a - 1/2*a**5.
-a**5/2
Let p(n) be the second derivative of -n**7/21 - 2*n**6/15 + n**5/10 + n**4/3 - 27*n. Suppose p(o) = 0. What is o?
-2, -1, 0, 1
Let j(h) be the second derivative of -h**7/7560 + h**6/1080 + h**5/120 - h**4/4 + 4*h. Let b(k) be the third derivative of j(k). Factor b(u).
-(u - 3)*(u + 1)/3
Factor 3/4*q**2 + 0*q - 3/4.
3*(q - 1)*(q + 1)/4
Suppose 0 = 2*s - 2*l - 3*l - 27, -4*l = -s + 18. Let r(f) = f. Let h(b) = 3*b**2 + 12*b + 27. Let p(d) = s*r(d) + h(d). Factor p(y).
3*(y + 3)**2
Let l = -15 + 10. Let g = -2 - l. Factor 4/3*z**g + 0 + 0*z - 1/3*z**2.
z**2*(4*z - 1)/3
Factor -27 - 3/4*y**2 - 9*y.
-3*(y + 6)**2/4
Let o(d) be the third derivative of d**6/40 - d**5/20 - 5*d**4/8 - 3*d**3/2 - 30*d**2. Factor o(j).
3*(j - 3)*(j + 1)**2
Let u(m) be the second derivative of -4/45*m**5 + 1/27*m**6 + 0 + m + 0*m**3 + 0*m**2 + 2/27*m**4 - 1/189*m**7. Factor u(o).
-2*o**2*(o - 2)**2*(o - 1)/9
Let n = 121 - 120. Factor 1/2*y**2 - n - 1/2*y.
(y - 2)*(y + 1)/2
Let s = 16 + -18. Let g = -3/2 - s. Solve 0 + g*w**2 - 1/2*w**3 + 0*w = 0 for w.
0, 1
Let y(u) = -5*u**4 - 9*u**3 + u**2 - 3*u + 4. Let q(x) = -x**4 - x**3 - x + 1. Suppose 4*a + 25 = 1. Let p(k) = a*q(k) + y(k). Factor p(v).
(v - 2)*(v - 1)**2*(v + 1)
Let 0 + 4/3*k**4 - 4/3*k**2 - 2/3*k**5 + 2/3*k + 0*k**3 = 0. Calculate k.
-1, 0, 1
Let k be 55/44 + 3/12. Factor -1/2*j**3 - 1/2 - k*j**2 - 3/2*j.
-(j + 1)**3/2
What is r in 7*r**2 - 9*r**2 - 3*r**3 + 2*r**3 = 0?
-2, 0
Let r(f) = -f**2 + 13*f + 4. Let o(d) = -6*d - 2. Let q(k) = 5*o(k) + 2*r(k). Let q(j) = 0. What is j?
-1
Suppose -g - 3 = -a, -2*g = -2 - 0. Let m(o) be the third derivative of 1/10*o**5 + 1/70*o**7 - 1/15*o**6 + 0 - 1/6*o**3 + o**2 + 0*o**a + 0*o. Factor m(r).
(r - 1)**3*(3*r + 1)
Let p(y) be the third derivative of y**11/83160 + y**10/30240 + y**9/60480 - y**5/60 - y**2. Let u(w) be the third derivative of p(w). Factor u(q).
q**3*(q + 1)*(4*q + 1)
Let i(h) be the first derivative of -h**7/630 - h**6/54 - 4*h**5/45 - 2*h**4/9 + 2*h**3/3 + 7. Let b(y) be the third derivative of i(y). Factor b(n).
-4*(n + 1)*(n + 2)**2/3
Suppose 0 = -2*i - 2*f - 9 + 21, 0 = 4*i - 5*f - 24. Suppose 4 + i = 5*k. Factor -8*q**3 -