p**2 + 3/4 - j*p.
-3*(p - 1)**3/4
Let p = 7/279 - -509/1953. Find k, given that -3/7*k**2 + 1/7*k**3 + p*k + 0 = 0.
0, 1, 2
Solve -4*w**3 + 8/3*w**2 - 2/3*w**4 + 30 + 36*w = 0 for w.
-5, -3, -1, 3
Let u(m) = 20*m**4 + 32*m**3 + 4*m**2 - 24*m - 16. Let l(c) = c**4 + 2*c**3 + c**2 - c - 1. Let a(o) = -16*l(o) + u(o). Solve a(b) = 0.
-1, 0, 2
Let z be 21/(-28) - ((-3)/4 - 2). Factor 4*r**3 + 4*r**3 + 4*r**z - 8*r**2 - 4*r**4.
-4*r**2*(r - 1)**2
Let -40 - 24/5*w**4 + 32/5*w**2 + 76/5*w**3 - 54*w + 2/5*w**5 = 0. What is w?
-1, 4, 5
Let u(x) be the first derivative of x**5/5 + x**4/2 - x**3 + 273. Suppose u(d) = 0. What is d?
-3, 0, 1
Suppose -1 = -z - 0, 527 = -4*j - z. Let b = 136 + j. Factor 7/4*s**2 + 1/2*s + 5/4*s**b + 9/4*s**3 + 0 + 1/4*s**5.
s*(s + 1)**3*(s + 2)/4
Let t(j) be the third derivative of j**8/18144 - j**7/3240 + j**6/1620 - 7*j**5/60 - 16*j**2. Let w(n) be the third derivative of t(n). Factor w(g).
2*(g - 1)*(5*g - 2)/9
Let s be (6/90)/((-6)/(-10)*6/12). Factor -2/9*n**2 + s + 0*n.
-2*(n - 1)*(n + 1)/9
Let h(j) = j**2 - 2*j. Suppose 0*r + 75 = -5*r. Let i = -17 - r. Let n(y) = 3*y**2 - 9*y. Let g(a) = i*n(a) + 9*h(a). Factor g(w).
3*w**2
Let i be 42/10 - 1/5. Suppose 0 = x - 2*z + 1, -8 + 0 = -i*x + 2*z. Determine f, given that 0*f - 9*f**x + 27/4*f**4 + 0 + 3*f**2 = 0.
0, 2/3
Suppose 4*p - g = -6, -8*p + 6*p + 18 = 3*g. Let o = -4 + 7. Let -2/7*x**2 + p - 2/7*x**o + 0*x = 0. Calculate x.
-1, 0
Suppose -94*b = -90*b - 16. Factor 3/8*a**2 + 0 + 3/4*a**3 + 3/8*a**b + 0*a.
3*a**2*(a + 1)**2/8
Let c be 9/(4*(-2)/4). Let z = -19/6 - c. Find j, given that -2/3*j**3 + 0 + z*j**2 - 2/3*j = 0.
0, 1
Let u be (3 - 5)*(-6 + 4). Find p, given that -4*p**3 + 2*p**u + 13*p**2 - 8*p**2 - 3*p**2 = 0.
0, 1
Find m, given that -3/2*m**4 + 6*m**2 + 0*m + 3/8*m**5 - 3/2*m**3 + 0 = 0.
-2, 0, 2, 4
Let f(x) = 5*x**3 - 90*x**2 + 335*x - 355. Let g(d) = 3*d**3 - 46*d**2 + 167*d - 178. Let v(c) = 2*f(c) - 5*g(c). Solve v(o) = 0 for o.
3, 4
Suppose 5*j - 5 = 20. Suppose -3*u + 5*m = -1, -u - m - j = -4*u. Factor u*t**5 + 8*t**3 - 5*t**3 + 3*t**4 + 5*t**3 + 5*t**4.
2*t**3*(t + 2)**2
Let v(t) be the first derivative of 3*t**5/5 + t**4/4 - 3*t**3 - 9*t**2/2 - 2*t - 72. Factor v(n).
(n - 2)*(n + 1)**2*(3*n + 1)
Let o(g) be the first derivative of 14*g**5/5 - 61*g**4/2 + 100*g**3 - 64*g**2 - 64*g - 75. Determine j so that o(j) = 0.
-2/7, 1, 4
Let q = 702 + -696. Let r(m) be the second derivative of 0*m**2 + 0 + 10*m - 1/12*m**4 - 3/20*m**5 + 1/30*m**q + 1/2*m**3. Determine h so that r(h) = 0.
-1, 0, 1, 3
Let t(u) be the first derivative of 5*u**6 - 147*u**5/5 + 54*u**4 - 17*u**3 - 42*u**2 + 36*u - 258. Suppose t(g) = 0. Calculate g.
-3/5, 1/2, 1, 2
Let r(f) = -5*f**2 + 64*f + 60. Let c(t) = -44*t**2 + 574*t + 540. Let v(s) = 6*c(s) - 52*r(s). Factor v(k).
-4*(k - 30)*(k + 1)
Let v(q) = q**5 + q**4 + q**2 + 1. Let n = 33 - 32. Let w(m) = -17*m**5 - 2*m**4 + 20*m**3 + 8*m**2 + 3. Let a(g) = n*w(g) - 3*v(g). Solve a(f) = 0 for f.
-1, -1/4, 0, 1
Let n be 18/2 - 30/6. Factor -6*w**3 + 0*w**4 - 3*w**4 - n*w**4 + 8*w + 5*w**4.
-2*w*(w - 1)*(w + 2)**2
Let z(j) be the first derivative of j**5/15 - 5*j**4/6 + 8*j**3/3 - 11*j**2/3 + 7*j/3 + 423. Determine s so that z(s) = 0.
1, 7
Let v = -35602/9 + 3956. Factor 5/9*r**3 + 0*r + 1/9*r**5 - v*r**2 - 4/9*r**4 + 0.
r**2*(r - 2)*(r - 1)**2/9
Let q(l) be the third derivative of 2*l**7/105 - 13*l**6/10 + 169*l**5/5 - 2197*l**4/6 - 2*l**2 - 100*l. Factor q(u).
4*u*(u - 13)**3
Suppose 13*g = 21 + 44. Let w be 42/8 - g/1. Factor 1/4 - 1/2*z + w*z**2.
(z - 1)**2/4
Let f(z) = z**2 + 1. Let n be f(1). Suppose 0 = -6*r + n*r + 40. Determine a, given that -4*a - 14*a**2 - r*a**4 + 7*a**5 - 5*a**5 - 4*a**5 - 18*a**3 = 0.
-2, -1, 0
Let s = -13591 - -13596. Determine t, given that 1/4*t**2 + 25 - s*t = 0.
10
Let y(o) = -o**3 - 9*o**2 + 6*o. Let s(w) be the first derivative of 0*w + 5/2*w**2 - 1 - 8/3*w**3 - 1/4*w**4. Let u(k) = 6*s(k) - 5*y(k). Solve u(g) = 0.
-3, 0
Let t(u) be the first derivative of -u**4 - 40*u**3/3 - 14*u**2 + 72*u - 210. Factor t(w).
-4*(w - 1)*(w + 2)*(w + 9)
Let k(w) be the third derivative of -w**8/56 - 43*w**7/525 - 2*w**6/25 + 2*w**5/75 + 184*w**2 + 2. Determine b, given that k(b) = 0.
-2, -1, 0, 2/15
Let q be 2/(-4) - (-91)/26. Suppose -18 = j - 5*p, -q*j + 4*p + 2 - 12 = 0. Let -7*x + 2 + 5*x**2 + 2*x**2 + 9*x**j - 7*x**3 - 4*x = 0. What is x?
2/7, 1
Suppose 2*b + 5*u = 187, -56*b + 2*u + 395 = -51*b. Let 486/7*s**2 + 39/7*s**4 + 3/7*s**5 + 243/7 + b*s + 198/7*s**3 = 0. What is s?
-3, -1
Suppose -4*t - 14 = -34. Let c(z) be the second derivative of -13/10*z**t - 2*z**2 - 2/3*z**3 - 5*z + 9/4*z**4 + 0 + 7/30*z**6. Factor c(n).
(n - 2)*(n - 1)**2*(7*n + 2)
Let l(c) be the second derivative of 2*c**7/945 - 2*c**5/135 + 2*c**3/27 - 5*c**2/2 + 7*c. Let s(d) be the first derivative of l(d). Solve s(w) = 0 for w.
-1, 1
Suppose s = -u - 2*s + 14, u - 10 = -2*s. Suppose -u*a + 3*b - 11 = 0, 5 = -b + 2*b. Determine d so that 3/5*d - 2/5 + 2/5*d**a = 0.
-2, 1/2
Let m(q) be the second derivative of q**7/14 - 2*q**6/75 - 9*q**5/100 - q**4/30 - 16*q - 2. Suppose m(u) = 0. Calculate u.
-2/5, -1/3, 0, 1
Let t(p) be the first derivative of 5/3*p**3 + 0*p + 0*p**2 - 12 - 5/6*p**6 - 15/4*p**4 + 3*p**5. Factor t(g).
-5*g**2*(g - 1)**3
Factor -2 - 6669*p + 5*p**2 + 2 + 6579*p.
5*p*(p - 18)
Let z(a) be the first derivative of -a**3/5 - 174*a**2/5 - 10092*a/5 - 106. Suppose z(o) = 0. Calculate o.
-58
Suppose 1/4*p**3 - 1/4*p - 1/4*p**2 + 1/4 = 0. What is p?
-1, 1
Let u(g) = g**2 - g + 1. Let d(o) = 5*o**4 - 5*o**2 + 5*o - 5. Let v(h) = -d(h) - 5*u(h). Determine r, given that v(r) = 0.
0
Let l = 8 + -6. Suppose -3*z - l*z = -15. Factor -n**2 - n**3 - 3*n**2 - 7*n**z - 2*n**4 + 2*n**3.
-2*n**2*(n + 1)*(n + 2)
Suppose -3*m = x - 14, m - 4*x + 17 = -0*x. Factor 8*c - 4 - m*c**3 + 4*c**4 - 7*c**3 + 2*c**3.
4*(c - 1)**3*(c + 1)
Let i(k) be the third derivative of -55/12*k**6 - 13/3*k**5 + 0*k**3 + 0 - 5/3*k**4 + 10*k**2 - 25/14*k**7 + 0*k. Determine r so that i(r) = 0.
-2/3, -2/5, 0
Let m = -5739 - -17218/3. What is c in -1/6 + m*c - 1/6*c**2 = 0?
1
Let g = -2672 - -2677. Let j(h) be the first derivative of 0*h + 0*h**2 - 14 - 2/85*h**g + 0*h**3 + 1/17*h**4. Suppose j(l) = 0. What is l?
0, 2
Let c(w) be the first derivative of -w**4/20 - 8*w**3/15 - w**2/2 + 10*w - 269. Factor c(z).
-(z - 2)*(z + 5)**2/5
Let l be 82/(-492) + ((-20)/(-24) - 0). Let j be 2/1 - 2 - 0. Factor j - 4/3*h**2 + 2/3*h**3 + l*h.
2*h*(h - 1)**2/3
Factor 4*a**2 + 0 - 1/4*a**3 + 17/4*a.
-a*(a - 17)*(a + 1)/4
Let t(j) be the third derivative of -j**7/168 - j**6/96 + 134*j**2. Determine n so that t(n) = 0.
-1, 0
Suppose 0 = 5*v - 3*b - 87, 4*b + 14 = 3*v - 2*v. Let j = -26 - -36. Determine s so that -s**4 + 16 + v*s**3 - 14*s**3 - j*s - 6*s = 0.
-2, 2
Let b(c) be the first derivative of -5/2*c**2 + 0*c + 2 + 5/4*c**4 + 0*c**3. Factor b(h).
5*h*(h - 1)*(h + 1)
Let r(p) be the second derivative of -p**5/20 - 7*p**4/12 - 5*p**3/2 - 9*p**2/2 + 269*p. Factor r(d).
-(d + 1)*(d + 3)**2
Let v(s) be the third derivative of -s**8/168 + 8*s**7/105 - s**6/5 + 127*s**2 + s. Factor v(c).
-2*c**3*(c - 6)*(c - 2)
Let m = -24 + 13. Let i = m + 15. Let 2*s**4 + 16*s**2 - 16*s**3 + 7*s**4 - 5*s**i = 0. What is s?
0, 2
Let s(q) be the first derivative of q**6/18 + 4*q**5/15 - 2*q**4/3 - 10*q**3/9 + 23*q**2/6 - 10*q/3 + 105. Factor s(j).
(j - 1)**3*(j + 2)*(j + 5)/3
Let u = -2386 + 2389. Factor 0 + 0*l - l**2 + 1/2*l**u.
l**2*(l - 2)/2
Suppose 1/7 + 1/7*t**5 - 2/7*t**3 + 1/7*t + 1/7*t**4 - 2/7*t**2 = 0. Calculate t.
-1, 1
Suppose 2*z = 2*o - 27 + 63, 4*z = -5*o + 99. Let j = z + -19. Factor 0 + 1/5*v + 4/5*v**j.
v*(4*v + 1)/5
Suppose -2*s = 1 - 7. Suppose -s - 33*g**3 + 35*g**3 + 3 - g**4 = 0. What is g?
0, 2
Let a = 5/212 + 149/424. Let 3/8 + 9/8*f**2 - 9/8*f - a*f**3 = 0. Calculate f.
1
Let j(w) be the third derivative of -w**5/20 - w**4/8 + 15*w**3 + 56*w**2 - 2*w. Let j(r) = 0. What is r?
-6, 5
Let q(c) be the third derivative of -c**7/175 + 9*c**6/200 - c**5/10 + 3*c**4/40 - 24*c**2 + 2. What is u in q(u) = 0?
0, 1/2, 1, 3
Let n be ((-5)/2 - -3)*-12. Let r be 5 + n - (1 + -2). Factor r + 2/3*a**3 + 0*a**2 + 0*a.
2*a**3/3
Solve 3/5*s**3 - 21*s + 0 + 102/5*s**2 = 0 for s.
-35, 0, 1
Supp