*x + l + 6 = 0. Factor 6 - 3*d**4 - 3*d**2 + d + x*d - 43*d**3 + 34*d**3.
-3*(d - 1)*(d + 1)**2*(d + 2)
Let n be 4/1 + 42 + 2. Suppose -p**2 - n - 51*p**2 - 23*p**2 + 168*p + 9*p**3 = 0. Calculate p.
1/3, 4
Suppose -3*g + 6 = -c, 5*c - 3 = -3*g + 3. Factor m + m**2 - m**2 + g*m**2 + 3*m.
2*m*(m + 2)
Let w be ((-2)/(16/(-6)))/3. Suppose 0 = -143*o + 283*o - 178*o. Suppose -1/2*t + w*t**2 + o = 0. Calculate t.
0, 2
Let l(m) be the second derivative of -m**5/4 - 5*m**4/3 + 5*m**3/2 + 45*m**2 + m - 7. Solve l(c) = 0 for c.
-3, 2
Let p(q) = -5*q - 6. Let b be p(-2). Suppose 4*o = h + 17, o + b = 3*o + 4*h. What is x in 0 - 6/5*x**2 + 3/5*x + 6/5*x**o + 0*x**3 - 3/5*x**5 = 0?
-1, 0, 1
Let r(i) = 319*i + 2572. Let t be r(-8). Factor 4/7*o**3 + t*o - 100/7 - 44/7*o**2.
4*(o - 5)**2*(o - 1)/7
Let b = -2/17 + 55/34. Let n be ((-324)/(-24) - 14)*(-7 + -3). Determine z so that z + 0 - 1/2*z**n - 1/2*z**3 - 3/2*z**4 + b*z**2 = 0.
-2, -1, 0, 1
Solve 17*r**3 - 42*r - 18 + 3/2*r**4 + 83/2*r**2 = 0 for r.
-6, -1/3, 1
Let v(m) = -4*m - 5. Suppose 6*k = k - 20. Let o be v(k). Suppose -4*r**2 - o*r**2 - 15*r**3 - 5*r**4 - 5*r + 0*r**4 = 0. What is r?
-1, 0
Let j(n) be the third derivative of 0*n**3 - 4*n**2 + 0 + 0*n**5 + 1/315*n**7 - 1/90*n**6 + 1/504*n**8 + 0*n**4 + 0*n. Factor j(f).
2*f**3*(f - 1)*(f + 2)/3
Let h(b) = 15*b**4 + 30*b**3 + 15*b**2 + 10*b - 10. Let m(j) = -j**4 - j**3 - j + 1. Let r(u) = h(u) + 10*m(u). Factor r(n).
5*n**2*(n + 1)*(n + 3)
Suppose -3*r - 3*x - 26 + 20 = 0, -x + 6 = 5*r. Let 1/4*a**3 + 0*a - 1/4*a**r + 0 = 0. What is a?
0, 1
Let z be ((-12)/(-2))/(7/((-28)/(-12)) + -1). Factor -6/7*q**2 + 0*q - 2/7*q**z + 0.
-2*q**2*(q + 3)/7
Let m(p) be the second derivative of -p**4/54 - 19*p**3/9 - 56*p**2/9 + 153*p. Let m(v) = 0. What is v?
-56, -1
Find y such that 65*y**3 - 666 + 280*y + 1347 + 265*y**2 - 661 = 0.
-2, -1/13
Let v(x) be the second derivative of -x**5/80 - 5*x**4/4 + 3*x - 21. Factor v(o).
-o**2*(o + 60)/4
Let z(o) = -5*o**2 - 6*o. Suppose 44 = 6*a - 8*a. Let k(b) = b**2 + b. Let t(s) = a*k(s) - 4*z(s). Factor t(r).
-2*r*(r - 1)
Let z = -76 - -116. Solve -2*q**3 + z*q - 65*q**2 + 65*q**4 + 39*q - 89*q + 12*q**3 = 0.
-1, -2/13, 0, 1
Let k(m) be the third derivative of m**11/257040 - 13*m**10/1285200 + m**9/257040 + m**5/6 + 4*m**2. Let a(r) be the third derivative of k(r). Solve a(y) = 0.
0, 2/11, 1
Factor 8 + 4*z - 7/2*z**2 + 1/2*z**3.
(z - 4)**2*(z + 1)/2
Let a(b) be the first derivative of -b**6/2 + 6*b**5/5 + 9*b**4/4 - 4*b**3 - 6*b**2 - 112. Suppose a(q) = 0. What is q?
-1, 0, 2
Factor -h + 13*h + 2 + 10 + 15 - 20*h**2 - 19*h**2.
-3*(h - 1)*(13*h + 9)
Factor 2/7*j**2 - 20/7*j + 18/7.
2*(j - 9)*(j - 1)/7
Suppose 4*j**4 - 9*j**3 - 10*j**3 + 3*j**3 + 12*j**2 = 0. Calculate j.
0, 1, 3
Let z(m) be the second derivative of 2*m**6/3 + 28*m**5/5 + 16*m**4 + 32*m**3/3 - 32*m**2 + 29*m. Determine w so that z(w) = 0.
-2, 2/5
Let r(l) be the first derivative of -5*l**6/18 + 6*l**5/5 - l**4 - 8*l**3/9 + 253. Factor r(d).
-d**2*(d - 2)**2*(5*d + 2)/3
Suppose -f = -o, -35 = -2*o + 3*f - 8*f. Suppose -4*r - 24 = -4*z, 2*r - 5*r + 6 = o*z. Factor 3*p**3 - z + p**2 + 2 + p**3 - 4*p.
(p - 1)*(p + 1)*(4*p + 1)
Suppose -5 = -4*h + 3. Suppose -7*n**3 - 9*n**3 + 6*n**2 - 8*n - 7*n**2 - 4*n**4 - 19*n**h = 0. Calculate n.
-2, -1, 0
Let v = 63 + -98. Let x(k) = -5*k**3 + 2*k**2 + 33*k - 32. Let c(t) = -85*t**3 + 35*t**2 + 560*t - 545. Let j(q) = v*x(q) + 2*c(q). Factor j(a).
5*(a - 2)*(a - 1)*(a + 3)
Let n = 47 + -327/7. Let d = 1/21 + n. Let -2/3 + 1/3*i**3 + 2/3*i**2 - d*i = 0. Calculate i.
-2, -1, 1
Let t(v) be the first derivative of 0*v**3 - 2 - 1/60*v**5 + 0*v + 0*v**4 + 1/2*v**2. Let y(g) be the second derivative of t(g). Factor y(w).
-w**2
Let r be (-6)/(-2) - (8 + -7). Factor -7*v**2 - v**r - 25*v - 8*v**2 - 10 + v**2.
-5*(v + 1)*(3*v + 2)
Let d be 9775/2670 + -3 - (-6)/(-9). Let u = d - -45/89. Find n such that 1 + 1/2*n - u*n**2 = 0.
-1, 2
Let b be 4/1*-2 - (26 - (-1432)/(-42)). Factor 0 - b*v**2 - 2/3*v.
-2*v*(v + 7)/21
Let u(c) be the third derivative of 1/420*c**6 + 1/21*c**4 + 7*c**2 + 0*c + 0*c**3 + 2/105*c**5 + 0. Factor u(i).
2*i*(i + 2)**2/7
Factor -238 - 480*g - 365*g**2 + 45*g**4 - 5*g**5 - 100 - 15*g**3 + 158.
-5*(g - 6)**2*(g + 1)**3
Let a = -10 - -8. Let m(s) = -12*s**2 - 8*s - 3. Let n(l) be the third derivative of l**5/60 + l**3/6 - l**2. Let c(o) = a*m(o) - 14*n(o). Factor c(y).
2*(y + 2)*(5*y - 2)
Let v(g) be the second derivative of -g**4/12 - 2*g**3/3 + 21*g**2/2 - 260*g. Factor v(j).
-(j - 3)*(j + 7)
Suppose 2*a - 11 = 3*a. Let x = a + 15. Let j(b) = 5*b. Let i(o) = -o**2 + o. Let d(k) = x*j(k) - 4*i(k). Find q, given that d(q) = 0.
-4, 0
Solve -28/3 - 104/3*g**2 - 50*g + 6*g**3 = 0.
-1, -2/9, 7
Let y be (45/(-54)*6)/1 - (0 + -5). Factor y + 1/4*q**3 - 1/2*q + 1/4*q**2.
q*(q - 1)*(q + 2)/4
Let o(a) be the third derivative of 0*a - 1/12*a**4 - 10/33*a**3 - 1/330*a**5 + 0 - 7*a**2. Let o(q) = 0. Calculate q.
-10, -1
What is n in -109*n - 5*n**3 + 15*n**2 + 53*n + 41*n + 5 = 0?
1
Solve -1/2*p**2 + 7*p - 12 = 0 for p.
2, 12
Determine p so that -9/7*p + 6*p**2 - 200/7*p**4 + 20/7*p**3 + 0 = 0.
-1/2, 0, 3/10
Let j(v) = 2*v**2 + 13*v - 12. Let x(r) = -3*r**2 - 20*r + 20. Let d(p) = 8*j(p) + 5*x(p). Suppose d(g) = 0. What is g?
-2
Let a(n) be the second derivative of 6*n**4 + 96*n**2 + 0 + 1/40*n**6 - 3/5*n**5 + n - 32*n**3. Factor a(q).
3*(q - 4)**4/4
Let m = 15041 - 15041. Solve m - 10/11*y**3 - 8/11*y**4 - 2/11*y**5 - 4/11*y**2 + 0*y = 0.
-2, -1, 0
Suppose -17 = -3*m - i - 4*i, 5*m - 2*i - 18 = 0. Let m - 8*t**3 + 8*t**5 + 0*t**3 + 22*t - 11*t**5 - 11*t**5 - 32*t**4 + 28*t**2 = 0. What is t?
-1, -2/7, 1
Factor -5*r**3 + 18*r - 86*r + 30*r + 15*r + 116*r**2.
-r*(r - 23)*(5*r - 1)
Find w such that 5*w - 4*w**2 - 14*w + 7*w + 48 - 14*w = 0.
-6, 2
Let d = -11668/3 - -3890. Let -z**4 + 0 - 5/3*z**3 - d*z**2 + 0*z = 0. What is z?
-1, -2/3, 0
Let a = -16 + -3. Let f be (0 - 1)*(a + 19). Factor -7*j**3 + 3*j**3 + f*j + 4*j**2 + 4*j - 4.
-4*(j - 1)**2*(j + 1)
Let a(t) be the third derivative of 0 - 13/48*t**5 - 7*t**2 - 5/6*t**3 + 5/8*t**4 + 1/16*t**6 - 1/168*t**7 + 0*t. Factor a(h).
-5*(h - 2)**2*(h - 1)**2/4
Let z(x) = -9*x**2 + 89*x + 13. Let m be z(10). Let h(b) be the second derivative of -1/6*b**m + 0 - 1/4*b**2 - 1/24*b**4 + 3*b. Factor h(n).
-(n + 1)**2/2
Let q = 2/29729 + 8492/29729. Factor 4*l**3 + 12/7*l**4 + 18/7*l + 4/7 + 32/7*l**2 + q*l**5.
2*(l + 1)**4*(l + 2)/7
Let d(o) be the second derivative of o**3 + 0*o**2 + 4*o + 0 + 1/36*o**4 + 1/1080*o**6 - 1/120*o**5. Let t(r) be the second derivative of d(r). Factor t(v).
(v - 2)*(v - 1)/3
Suppose -42 = 6*q - 60. Let m(k) be the third derivative of -1/2*k**4 + 5*k**2 + 0 + 0*k + 2*k**q + 1/20*k**5. Factor m(b).
3*(b - 2)**2
Suppose -4*r + 3*a + 9 = -r, -4*r = -3*a - 13. Suppose 5*w - 10 = r*g + 20, 3*g + 19 = 2*w. Determine n so that 2/5*n + 6/5*n**3 + 2/5*n**4 + 6/5*n**w + 0 = 0.
-1, 0
Let s(c) be the second derivative of -11*c - 3/20*c**2 + 1/15*c**3 - 1/120*c**4 + 0. Let s(t) = 0. What is t?
1, 3
Factor 15*q + 75 + 53 + 40*q + 2 - 5*q**2 + 0.
-5*(q - 13)*(q + 2)
Let p(x) be the first derivative of -x**4/8 + 2*x**3/3 + 11. Let p(j) = 0. What is j?
0, 4
Let n be (20 + -80)*2/(-5). Suppose -3*k = 2*g + 9, 3*k = 9 - n. Let 2/5 + 8/5*m + 2*m**2 + 4/5*m**g = 0. What is m?
-1, -1/2
Let m(a) = -3*a**2 - 30*a + 3. Let x be m(-10). Let v(f) be the third derivative of 6*f**2 - 1/18*f**5 + 0*f + 1/12*f**4 + 0 + 2/9*f**x. Factor v(p).
-2*(p - 1)*(5*p + 2)/3
Let q(w) be the second derivative of 5*w**4/12 + 310*w**3/3 + 9610*w**2 - 331*w. Suppose q(s) = 0. What is s?
-62
Let y(w) be the third derivative of -w**6/480 + w**5/80 + w**4/16 - w**3/3 - 259*w**2. Suppose y(j) = 0. Calculate j.
-2, 1, 4
Let c(y) = -2*y**2 - 7*y. Let s(k) = 3*k**2 + 6*k + 2*k**2 - 3*k**2. Let z(a) = 18*a - 12. Let l be z(1). Let r(v) = l*c(v) + 7*s(v). Factor r(i).
2*i**2
Let a(n) be the first derivative of n**8/6720 - n**7/420 + n**6/96 + n**5/60 - n**4/6 - 4*n**3 - 15. Let y(r) be the third derivative of a(r). Factor y(k).
(k - 4)**2*(k - 1)*(k + 1)/4
Let g = -89 - 18. Let m = -104 - g. Factor -36/7*w - 3/7*w**4 - 12/7 - 18/7*w**m - 39/7*w**2.
-3*(w + 1)**2*(w + 2)**2/7
Suppose 5*s - o - 89 = o, 5*s - 3*o