3*p - 18. Let k be x(4). Solve 1194 + a - k - 4*a**2 + 3*a**2 = 0 for a.
0, 1
Let j(r) be the first derivative of 3*r**2 - 4*r + 7 + 5/4*r**3 + 1/8*r**4. Factor j(c).
(c + 4)**2*(2*c - 1)/4
Suppose 5*m - 5*d = -5, 2*m = 4*m + 2*d + 10. Let t(l) = -2*l - 5. Let q be t(m). Factor q + 9*f + 2 + 3*f**2 - 2 + 5.
3*(f + 1)*(f + 2)
Let m(x) be the first derivative of 2*x**6/3 + 8*x**5/5 + x**4 - 101. What is g in m(g) = 0?
-1, 0
Suppose 360 = -952*u + 967*u. Suppose 0 - u*z**2 - 15/2*z**3 + 21/2*z**4 - 6*z = 0. Calculate z.
-1, -2/7, 0, 2
Let y(i) = -i**5 + i**3 + i**2 + i - 1. Let n(q) = -4*q**5 - 2*q**4 + 5*q**3 + 7*q**2 + 4*q - 5. Let w = 15 - 13. Let d(v) = w*n(v) - 10*y(v). Factor d(t).
2*t*(t - 1)**3*(t + 1)
Let d(f) be the third derivative of f**8/756 - f**6/270 - 4*f**2 - 7. Solve d(m) = 0 for m.
-1, 0, 1
Let i(s) be the first derivative of 2*s**3/39 - 35*s**2/13 + 4. Factor i(p).
2*p*(p - 35)/13
Let f = -3646 - -3646. Solve f*v**2 - 1/7*v + 0 + 1/7*v**3 = 0.
-1, 0, 1
Let o(h) be the first derivative of 3 + 2/5*h + 1/10*h**2 - 1/15*h**3. Factor o(u).
-(u - 2)*(u + 1)/5
Let y be 70/(-21) + 4 - (-154)/(-240). Let q(a) be the third derivative of 0*a**3 - 1/80*a**6 - y*a**5 + 0 + 0*a + 1/16*a**4 + 1/140*a**7 - a**2. Factor q(b).
3*b*(b - 1)**2*(b + 1)/2
Let z(w) be the second derivative of w**4/54 - 53*w**3/27 + 52*w**2/9 - 10*w - 4. Let z(n) = 0. What is n?
1, 52
Let -35*r**2 - 3*r**3 + 8*r**3 + 0*r**3 + 80 + 12*r + 28*r = 0. What is r?
-1, 4
Solve 13/5*d**2 - 1/5*d**3 + 0 - 22/5*d = 0 for d.
0, 2, 11
Let o be 12/(-45)*2050/(-3). Let x = -182 + o. Factor -2/3*q**2 + 0 - 4/9*q + 0*q**3 + x*q**4.
2*q*(q - 2)*(q + 1)**2/9
Suppose -4*i + 2*i - 2 = 2*v, 2*v + 4*i = -8. Solve -9/5*o**3 + 0*o + 0 - 3/5*o**4 - 6/5*o**v = 0 for o.
-2, -1, 0
Let a(p) be the third derivative of -1/42*p**7 + 1/12*p**5 + 0 + 0*p + 0*p**3 + 5/336*p**8 - 14*p**2 + 0*p**4 - 1/24*p**6. Factor a(o).
5*o**2*(o - 1)**2*(o + 1)
Let w(n) be the third derivative of -n**6/90 - 17*n**5/45 - 12*n**2 - 4*n. Suppose w(i) = 0. Calculate i.
-17, 0
Let w(a) be the second derivative of 0*a**2 + 0*a**3 - 1/24*a**4 + 0 + 10*a. Find j, given that w(j) = 0.
0
Solve -2/11*w**3 + 24/11*w**2 + 86/11*w + 60/11 = 0 for w.
-2, -1, 15
Let d be 40/12*-3*(-1)/2. Let b(c) be the first derivative of 0*c + 2/3*c**3 + 0*c**2 - d. Solve b(r) = 0 for r.
0
Let g = 7161 + -35804/5. Suppose 4*k - 19 = -7. Suppose 1/10*j + 0 + 1/10*j**k - g*j**2 = 0. What is j?
0, 1
Determine w, given that -4*w + 140*w**2 + 160 - 136*w**2 - 16 + 9*w - 53*w = 0.
6
Factor -74 - 48*k + 38 - 92 + k**3.
(k - 8)*(k + 4)**2
Let w = 86 - 83. Let c(y) be the third derivative of 0*y**w + 0 + 1/20*y**5 + 0*y**4 + 0*y + 1/20*y**6 + 1/70*y**7 + 5*y**2. Factor c(p).
3*p**2*(p + 1)**2
Factor -12*u**2 - 2*u + 45*u - 21 - 11*u**2 + u**3.
(u - 21)*(u - 1)**2
Let a(y) be the second derivative of y**4/6 + y**3/3 + 2*y**2 - 24*y. Let m(n) = -5*n**2 - 4*n - 9. Let z(s) = -9*a(s) - 4*m(s). Suppose z(j) = 0. What is j?
0, 1
Factor -2/5*j**2 + 0 - 8/5*j.
-2*j*(j + 4)/5
Let q(j) = j**2 - 2*j - 2. Let p(f) = -12*f**2 + 72*f + 16. Let s(x) = -p(x) - 8*q(x). Suppose s(n) = 0. What is n?
0, 14
Let b(r) be the second derivative of -1/6*r**4 - 169*r**2 - 26/3*r**3 + 0 - 37*r. Factor b(w).
-2*(w + 13)**2
Let d(p) be the second derivative of -1/60*p**4 + 0 + 0*p**2 - 24*p + 2/15*p**3. Factor d(j).
-j*(j - 4)/5
Suppose 16*k = 18*k + 2*v - 8, 0 = 2*k - 4*v + 16. Factor k - 8/5*b + 2/5*b**2.
2*b*(b - 4)/5
Let o(t) = 2*t**4 - 14*t**3 - 33*t**2 + 264*t + 281. Let g(k) = k**2 - 1. Let x(n) = -14*g(n) + 2*o(n). Factor x(b).
4*(b - 6)**2*(b + 1)*(b + 4)
Let g be (-6)/(-24) + 7/4. Factor -8*b**2 - b + g*b - b - 4*b**3 - 4*b.
-4*b*(b + 1)**2
Let n(k) be the first derivative of 2/25*k**5 - 1/10*k**4 + 19 - 2/15*k**3 + 1/5*k**2 + 0*k. Factor n(x).
2*x*(x - 1)**2*(x + 1)/5
Let a(d) be the third derivative of d**7/1470 - d**6/840 - 4*d**5/105 + 2*d**4/21 + 22*d**2. Factor a(s).
s*(s - 4)*(s - 1)*(s + 4)/7
Let r(o) = o**2 + 7*o + 6. Let h(j) = 2*j**2 + 15*j + 13. Let t be 78*(-6)/24*2/3. Let x(q) = t*r(q) + 6*h(q). Solve x(y) = 0.
-1, 0
Determine q, given that 10/3*q - 1/3*q**2 + 11/3 = 0.
-1, 11
Let n be 14 + -17 - (2 + (-80)/15). Find a such that -2/3*a - 5/3*a**4 + 0 + 5/3*a**2 - n*a**3 + a**5 = 0.
-1, 0, 2/3, 1
Let g(f) = 4*f**5 - 10*f**4 - 19*f**3 - 13*f**2 + 15*f + 12. Let h(u) = u**4 + u**3 + u**2 - u - 1. Let a(y) = -4*g(y) - 44*h(y). Determine t so that a(t) = 0.
-1, -1/4, 1
Let j(h) be the first derivative of 0*h**3 + 3/14*h**4 - 4/7*h**2 + 0*h - 2/35*h**5 - 29. Factor j(q).
-2*q*(q - 2)**2*(q + 1)/7
Solve -81/5*r**2 - 1/5*r + 0 - 79/5*r**3 + 81/5*r**4 + 16*r**5 = 0 for r.
-1, -1/80, 0, 1
Let o = -2/3001 + 78036/15005. What is t in 0 + 36/5*t**4 - o*t**2 + 4/5*t + 6/5*t**3 = 0?
-1, 0, 1/6, 2/3
Suppose 3*i - 23 = 4*p, -21 + 7 = -4*i + 2*p. Suppose -2*s + j + i = 4*j, j + 13 = 2*s. What is d in -2/3*d + 0 - 2/3*d**s + 4/3*d**3 + 0*d**2 + 0*d**4 = 0?
-1, 0, 1
Let y(k) be the second derivative of -k**7/210 - 2*k**6/75 - k**5/20 - k**4/30 + k - 70. Factor y(r).
-r**2*(r + 1)**2*(r + 2)/5
Determine c, given that -22*c - 7*c**2 - 12 - 21*c - c**3 + 0*c**3 + 27*c = 0.
-3, -2
Let g(j) be the third derivative of 0 + 0*j - 37*j**2 + 1/168*j**8 + 0*j**4 + 0*j**3 + 0*j**5 + 2/105*j**7 + 0*j**6. Find i, given that g(i) = 0.
-2, 0
Let l be (-286)/(-78)*(1 + 2). Suppose -l*q - 6 = -28. Factor -2/3*v**2 + 0 - 2*v**4 - q*v**3 + 0*v - 2/3*v**5.
-2*v**2*(v + 1)**3/3
Let a be -35 - (1/1 - 1). Let x = 71 + a. Solve -19*d**3 + 5*d**3 - 24 + x*d + 6*d**2 - 3*d**5 - 19*d**3 - 2*d**4 + 20*d**4 = 0.
-1, 1, 2
Let l(f) = -2*f**2 + 19*f - 8. Let v(y) = -2*y**2 + 20*y - 8. Let p(s) = 3*l(s) - 2*v(s). Factor p(b).
-(b - 8)*(2*b - 1)
Let q(o) be the third derivative of -o**6/280 - 4*o**5/105 - 5*o**4/56 + 3*o**3/7 + 13*o**2 - 3. Find d, given that q(d) = 0.
-3, 2/3
Let p(g) be the third derivative of -g**8/131040 - g**7/8190 - g**6/1560 + 19*g**5/60 - 9*g**2. Let y(i) be the third derivative of p(i). Solve y(f) = 0 for f.
-3, -1
Let c(j) be the second derivative of j**6/6 + 15*j**5/4 + 175*j**4/12 - 25*j**3/2 - 90*j**2 - j - 447. Find u such that c(u) = 0.
-12, -3, -1, 1
Suppose 17*z - 22*z + 15 = 0. Let 3*h**2 + 2*h**5 - 2*h + z*h**5 + 13*h**4 + 2*h**2 + 9*h**3 - 6*h**2 = 0. What is h?
-1, 0, 2/5
Let b(h) be the first derivative of 1/6*h**4 + 6*h - 11 + 2/3*h**3 + 0*h**2. Let l(m) be the first derivative of b(m). Determine x so that l(x) = 0.
-2, 0
Suppose 2/3*s - 2/9*s**2 - 4/9 = 0. What is s?
1, 2
Let h(p) be the second derivative of -1/10*p**6 + 0*p**2 + 0*p**3 + 13*p + 0*p**4 + 0 + 1/10*p**5 + 1/42*p**7. Factor h(x).
x**3*(x - 2)*(x - 1)
Let o(s) be the third derivative of s**9/15120 + s**8/5040 - s**7/1260 - s**6/180 + 3*s**5/20 + 5*s**2. Let n(p) be the third derivative of o(p). Factor n(a).
4*(a - 1)*(a + 1)**2
Let r = 31643 - 31641. Factor 2 - 2*d - 8/9*d**r.
-2*(d + 3)*(4*d - 3)/9
Let n(x) be the second derivative of x**6/30 - 3*x**5/10 + 2*x**4/3 + x**3 - 9*x**2/2 + 67*x. Find a such that n(a) = 0.
-1, 1, 3
Let j(m) be the first derivative of 17 - 4/15*m**3 - 1/5*m**6 + 0*m**2 + 0*m + 8/25*m**5 + 1/10*m**4. Factor j(b).
-2*b**2*(b - 1)**2*(3*b + 2)/5
Factor -301*m - 13*m**2 + 251*m - 85*m**2 + 2*m**4 - 46*m**3.
2*m*(m - 25)*(m + 1)**2
Let j(u) = 10*u**2 - 15*u**4 - 21*u**4 + 26*u**4 + 2 + 7*u**5 - 3*u. Let p(x) = -15*x**5 + 20*x**4 - 20*x**2 + 5*x - 5. Let a(z) = 5*j(z) + 2*p(z). Factor a(q).
5*q*(q - 1)**3*(q + 1)
Let j = 613/20 + -152/5. Let g(m) be the first derivative of -j*m**4 + m**2 - 4 - 1/3*m**3 + 0*m. Suppose g(r) = 0. Calculate r.
-2, 0, 1
Let t = 7994 - 103918/13. Suppose 2/13*m**3 + 0*m + t*m**2 + 0 = 0. What is m?
-2, 0
Let g(k) = -2*k**4 - k**3 + k**2 + k - 1. Let d(c) = 2*c**4 - 8*c**3 + 8*c + 2. Let j(w) = -2*d(w) - 4*g(w). Factor j(m).
4*m*(m - 1)*(m + 1)*(m + 5)
Let k(j) be the third derivative of j**8/2352 + j**7/735 - j**6/210 - j**5/210 + j**4/56 + 20*j**2. Factor k(i).
i*(i - 1)**2*(i + 1)*(i + 3)/7
Let d be -46 + 52 + (-124)/22. Find b such that 0 - d*b + 2/11*b**2 = 0.
0, 2
Let d(s) be the first derivative of 3*s**4/16 - 13*s**3 - 321*s**2/8 - 81*s/2 - 131. Factor d(x).
3*(x - 54)*(x + 1)**2/4
Factor -2/9*r**2 + 34/3 + 28/9*r.
-2*(r - 17)*(r + 3)/9
Let j(h) be th