25 + 3*m**4/10 + 2*m**3/15 - 18*m + 2. Let k(h) be the first derivative of s(h). Determine r so that k(r) = 0.
-2, -1/4, 0
Factor 1 - 223731*r**3 + 223735*r**3 - 36*r - 1.
4*r*(r - 3)*(r + 3)
Let w(t) be the second derivative of t**7/105 - 2*t**6/25 - 11*t**5/50 + 4*t**4/5 + 28*t**3/15 - 131*t + 1. Suppose w(i) = 0. Calculate i.
-2, -1, 0, 2, 7
Let g(h) be the second derivative of -12*h - 125/9*h**2 - 25/9*h**3 - 5/18*h**4 - 1/90*h**5 + 0. Let g(q) = 0. What is q?
-5
Suppose -20 + 12 = -4*i. Suppose 4*c**2 + 3*c**2 + c - 5*c**i + 4 - 7*c = 0. Calculate c.
1, 2
Let a(b) be the first derivative of b**6/18 - 2*b**4/3 + 2*b**3/3 + 7*b**2/6 - 2*b - 24. Let a(u) = 0. Calculate u.
-3, -1, 1, 2
Determine q so that -49/6*q**3 - 608/3*q + 1/3*q**4 + 68*q**2 + 256/3 = 0.
1/2, 8
Solve -38/13*l + 0 + 2/13*l**2 = 0.
0, 19
Factor 3*r**3 + 314*r**2 - 2*r**3 - 60*r - 184*r**2 - 158*r**2.
r*(r - 30)*(r + 2)
Let f be -11 + 2 + (-8)/(-4). Let j(m) = 4*m**3 + m**2 + m. Let i(b) = -9*b**3 - b**2 - b. Let l(t) = f*j(t) - 3*i(t). Factor l(w).
-w*(w + 2)**2
Let h = -27 - -27. Let v(k) = -2*k**3 - 2*k**2 + k + 4. Let p be v(h). Suppose 36/5*i**5 + 3*i**p - 3*i**2 + 0 + 6/5*i - 42/5*i**3 = 0. What is i?
-1, -2/3, 0, 1/4, 1
Find c such that 2*c**4 + 10*c + c**4 + 12 + 96*c**3 - 106*c**3 - 10*c**2 - 5*c**4 = 0.
-3, -2, -1, 1
Let i(w) be the third derivative of 0*w + 0*w**3 - 33*w**2 - 1/144*w**6 + 0 + 1/24*w**5 - 5/72*w**4. Factor i(h).
-5*h*(h - 2)*(h - 1)/6
Let m(o) = 8*o**3 - 2*o**2 + 2*o + 4. Let w(g) = -g**4 - 10*g**3 + 2*g**2 - 3*g - 6. Let k(c) = 6*m(c) + 4*w(c). Factor k(y).
-4*y**2*(y - 1)**2
Let p(k) be the second derivative of k**7/63 + 14*k**6/45 + 11*k**5/10 - 56*k**4/9 + 64*k**3/9 - 4*k + 86. Suppose p(h) = 0. What is h?
-8, 0, 1
Suppose 3 = -4*c - 5*z, -2*c + 9 = 2*c + z. Let f be 0/c + (-6)/(-3). Suppose -5 + 5 + f*j**3 - 2*j + 0 = 0. Calculate j.
-1, 0, 1
Let g(j) be the first derivative of -j**7/14 + j**6/5 - j**4/2 + j**3/2 + 49*j + 21. Let v(k) be the first derivative of g(k). Determine b, given that v(b) = 0.
-1, 0, 1
Let i(a) = 5*a**2 + 10*a + 7. Let u be i(-1). Let v(w) be the third derivative of -3*w**u + 0*w + 1/15*w**3 + 0 - 1/120*w**4 - 1/300*w**5. Factor v(z).
-(z - 1)*(z + 2)/5
Factor 6*q**3 + 2*q**4 + 12 + 19 - 31.
2*q**3*(q + 3)
Let p(l) be the third derivative of l**5/24 + 5*l**4/2 + 115*l**3/12 - 219*l**2. Factor p(v).
5*(v + 1)*(v + 23)/2
Let c(f) be the third derivative of 0*f**3 + 0*f + 0*f**4 + 0*f**5 - 12*f**2 + 1/60*f**6 + 0 + 1/105*f**7. Factor c(m).
2*m**3*(m + 1)
Let m = -1984 + 1987. Factor -2*l**2 - 11/12*l**m + 3*l + 0 - 1/12*l**4.
-l*(l - 1)*(l + 6)**2/12
Let v(p) be the first derivative of -4/3*p**3 + 0*p**2 - 10 + 0*p. Factor v(h).
-4*h**2
Let t = -10543/5 - -2109. What is l in 2/5*l**4 + 0 + 0*l + t*l**2 + 4/5*l**3 = 0?
-1, 0
Suppose 0 = -2*c - c + 6. Let w be (-4)/(-6)*6 - c. Factor 4*n**4 - n**5 + 8*n - 2*n**2 - w*n**4 - n - 6*n.
-n*(n - 1)**3*(n + 1)
Let q = 4382/2745 - -2/549. Let r be (-44)/(-33) - 1/(6/(-4)). Factor 2*h**4 + 16/5*h - 2/5*h**5 - 12/5*h**3 - q*h**r + 0.
-2*h*(h - 2)**3*(h + 1)/5
Suppose -3*m - m = d + 45, 5*m - 3*d + 69 = 0. Let x = -7 - m. Factor 6*r**2 - 6*r**4 + 104*r**5 - 101*r**x + 0*r - 3*r.
3*r*(r - 1)**3*(r + 1)
Let h(y) be the third derivative of -15*y**2 - 1/20*y**6 - 1/105*y**7 + 0*y**4 + 0*y + 0 + 0*y**3 - 1/15*y**5. Solve h(i) = 0 for i.
-2, -1, 0
Solve 0*p - 6/7*p**2 + 2/7*p**5 - 10/7*p**4 + 2*p**3 + 0 = 0 for p.
0, 1, 3
Let m(v) be the first derivative of v**3/8 + 123*v**2/16 - 99*v/2 - 486. Let m(i) = 0. Calculate i.
-44, 3
Suppose h = -3*u, h - 8*u = 5*h - 13*u. Find x, given that h*x + 0 - 2/3*x**4 - 10/9*x**2 - 2*x**3 + 2/9*x**5 = 0.
-1, 0, 5
Let s(v) be the third derivative of v**6/30 + 2*v**5 + 19*v**4/2 + 56*v**3/3 - 12*v**2 + 32*v. Factor s(p).
4*(p + 1)**2*(p + 28)
Factor -4*r**4 + 16*r**3 + 11*r**2 + r**2 - 37*r**3 - 39*r**3 + 120 + 188*r.
-4*(r - 2)*(r + 1)**2*(r + 15)
Find k, given that -29*k + 1/4*k**2 + 841 = 0.
58
Let s(c) be the third derivative of c**9/3024 + c**8/448 + c**7/252 + 7*c**4/6 + 11*c**2. Let n(p) be the second derivative of s(p). Let n(v) = 0. What is v?
-2, -1, 0
Suppose -53*v = -51*v + r - 5, 0 = -4*r - 4. Let g(x) be the first derivative of -3 + 8/3*x**v + 0*x + 0*x**2 - x**4. Factor g(z).
-4*z**2*(z - 2)
Let n = -3644 - -3644. Factor 0*d**2 + 0*d + n + 1/4*d**3 + 1/4*d**4.
d**3*(d + 1)/4
Solve -10*q**4 + 24*q + 30*q**2 - 8 + 8*q - 40*q - 4*q**3 = 0 for q.
-2, -2/5, 1
Let q(i) be the first derivative of -i**5/15 + 7*i**4/12 - 2*i**3 + 10*i**2/3 - 8*i/3 - 304. Determine p, given that q(p) = 0.
1, 2
Suppose -t + f + 26 - 20 = 0, 2*f = t - 10. Let u(l) be the first derivative of 0*l - 1/2*l**4 - l**t + 4/3*l**3 + 6. Find o, given that u(o) = 0.
0, 1
Let u(x) be the second derivative of 1/60*x**5 - 15*x + 0 + 0*x**2 + 0*x**3 + 1/36*x**4. Suppose u(g) = 0. Calculate g.
-1, 0
Let x(g) be the third derivative of 0*g + 0*g**3 + 29*g**2 - 1/120*g**6 + 1/6*g**4 + 0*g**5 + 0. Factor x(u).
-u*(u - 2)*(u + 2)
Let w(k) be the third derivative of k**5/210 - k**4/14 + 3*k**3/7 - 122*k**2. Factor w(b).
2*(b - 3)**2/7
Let -98*d**5 + 792*d + 218*d**4 + 424*d**4 + 200 + 282*d**4 - 2094*d**3 + 256*d**2 + 76*d**2 - 56 = 0. Calculate d.
-2/7, 1, 3, 6
Let g = -2725 + 24530/9. Factor -28/9*y - 22/9*y**2 - g*y**3 - 8/9.
-(y + 2)**2*(5*y + 2)/9
Let y(t) be the first derivative of -2*t**3/21 + 15*t**2/7 + 32*t/7 - 381. Factor y(h).
-2*(h - 16)*(h + 1)/7
Let -15*h**2 - 28 - 1/2*h**3 - 38*h + 1/2*h**4 = 0. What is h?
-2, 7
Let z(j) be the second derivative of -j**8/1680 - j**7/420 + 7*j**6/360 - j**5/30 - j**3/2 - 29*j. Let s(p) be the second derivative of z(p). Factor s(f).
-f*(f - 1)**2*(f + 4)
Factor 8 + 2/9*b**2 + 26/9*b.
2*(b + 4)*(b + 9)/9
Let a(q) be the second derivative of -q**6/30 + 2*q**5/15 - q**4/6 + 11*q**2/2 + 7*q. Let c(h) be the first derivative of a(h). Suppose c(j) = 0. What is j?
0, 1
Let r = -39 + 41. Let i(d) = 2*d - 4. Let w be i(r). Let -1/6*u**2 + 0*u + w*u**3 + 0 + 1/6*u**4 = 0. What is u?
-1, 0, 1
Let h(r) be the third derivative of r**6/120 + 13*r**3/6 - 8*r**2. Let f be h(0). Factor f*x**2 + 5 - x**3 + 2*x**2 - 15*x - x**3 - 3*x**3.
-5*(x - 1)**3
Suppose -9*q = -6*q - 90. Suppose m = 6*m + 2*f - q, 5*f = 25. Factor 1/2*h**m - 1/2*h**2 - 1/2*h**5 + 1/2*h**3 + 0 + 0*h.
-h**2*(h - 1)**2*(h + 1)/2
Let l(r) be the third derivative of -7*r**2 + 0 + 1/22*r**3 + 1/660*r**5 + 0*r - 1/66*r**4. Factor l(y).
(y - 3)*(y - 1)/11
Suppose 4*q - 7 = 1. Suppose 2*m + 0*m = j + 18, -q*m = 3*j - 10. Factor m*k**3 - 10*k - 6*k**3 + 4 + 0*k**3 - 2*k**4 + 6*k**2.
-2*(k - 1)**3*(k + 2)
Let l = -4082/261 - -460/29. Factor l*d**2 + 0*d - 8/9*d**3 + 0.
-2*d**2*(4*d - 1)/9
Let i(w) = -4*w**3 - 7*w - 1 - w**3 - 6*w**2 - 2*w + 4*w**3. Let o be i(-4). Factor -21*m**2 + m - 2*m - m**o + 23*m**2.
-m*(m - 1)**2
Let v(j) = -22*j**3 + 41*j**2 - 23*j - 6. Let i(s) = -20*s**3 + 42*s**2 - 24*s - 6. Let l(z) = 5*i(z) - 4*v(z). Factor l(h).
-2*(h - 3)*(h - 1)*(6*h + 1)
Solve 0 + 28/3*a + 1/3*a**2 = 0 for a.
-28, 0
Let y be 86067/4818 + (-4)/11. Let -y*b**2 - 5/2*b + 20 = 0. What is b?
-8/7, 1
Let y(s) be the third derivative of s**6/600 - s**5/150 - s**4/40 - 12*s**2 + 4*s. Factor y(l).
l*(l - 3)*(l + 1)/5
Suppose -4*g + 58 = -5*u, 0 = 2*u - g + 5*g + 12. Let c be (-2)/(16/u) - 1. Find y such that 1/4*y**2 - 1/4*y + 1/4*y**3 - c = 0.
-1, 1
Let q(n) be the first derivative of -n**4/30 - 16*n**3/9 - 437*n**2/15 - 1444*n/15 - 320. Factor q(h).
-2*(h + 2)*(h + 19)**2/15
Suppose -y + 1 - 8 = 5*p, 0 = -y + 3. Let q be 3*(3 - 4 - p). Factor 2*d**4 - q*d**3 + 4*d + 0*d**3 - d**4.
d*(d - 2)**2*(d + 1)
Find f such that -95 - 39*f + 44*f**2 + 4*f**3 - 49 + 23*f + 112*f = 0.
-6, 1
Let f = -85 + 423. Suppose -98*s - 4 - 28*s**2 - 340*s**3 + 4 + f*s**3 = 0. Calculate s.
-7, 0
Let j(o) = -20*o**4 - 90*o**3 - 120*o**2 - 5*o + 15. Let v(k) = -3*k**4 - 13*k**3 - 17*k**2 - k + 2. Let s(g) = 2*j(g) - 15*v(g). Factor s(h).
5*h*(h + 1)**3
Let w(s) = 19*s**2 + 467*s + 294. Let p(k) = -28*k**2 - 700*k - 440. Let j(i) = -5*p(i) - 8*w(i). Let j(n) = 0. What is n?
-19, -2/3
Let m be (-33)/3 + 2618/187. Factor 1/3*b**m - 1/3*b**2 + 1/3 - 1/3*b.
(b - 1)**2*(b + 1)/3
Let o be (16/12*30)/(0 + 1). Find g, given that o*g + 1