 q - 6*q + 110. Factor q + 5*l**2 + 9 + 25*l - 11.
5*(l + 1)*(l + 4)
Suppose -6 = 4*i - 2*i, 4*k - 5*i = 175. Determine x so that -43*x**2 + 105*x**4 + 40 - 60*x - k*x**3 - 25*x**3 - 227*x**2 = 0.
-1, -2/3, 2/7, 2
Let q(f) be the first derivative of -f**7/210 - f**6/30 - 10*f**2 - 17. Let d(a) be the second derivative of q(a). Suppose d(j) = 0. What is j?
-4, 0
Let y(v) be the second derivative of -4/15*v**3 - 1/30*v**4 + 0 - 4*v - 3/5*v**2. Factor y(o).
-2*(o + 1)*(o + 3)/5
Let q(j) be the third derivative of j**8/448 - j**7/120 - j**6/48 + j**5/24 + 7*j**4/96 - j**3/8 + 125*j**2. Solve q(s) = 0 for s.
-1, 1/3, 1, 3
Let o(s) be the third derivative of -5*s**8/336 - s**7/14 - s**6/8 - s**5/12 - 121*s**2. Find l such that o(l) = 0.
-1, 0
Suppose -52*x + 51*x + 5*t - 36 = 0, -3*t + 12 = -3*x. Factor -2/3*d - 6/5*d**2 - 2/5*d**3 + 2/15*d**x + 0.
2*d*(d - 5)*(d + 1)**2/15
Let p = -99 + 220. Let v = 125 - p. Factor 26/3*u**2 - 40*u**3 + 2/3 + 20/3*u + 24*u**v.
2*(u - 1)**2*(6*u + 1)**2/3
Factor -14*w - 62*w + 306*w - 232 + 2*w**2.
2*(w - 1)*(w + 116)
Let s(x) be the second derivative of -x**6/15 + 17*x**5/10 - 21*x**4/2 - 27*x**3 + 19*x. Find z such that s(z) = 0.
-1, 0, 9
Suppose -z + 4*j + 9 = 1, -j - 11 = 2*z. Let g be z/6*(0 + (-4)/8). Factor -a**3 + a - 1/3 + g*a**2.
-(a - 1)*(a + 1)*(3*a - 1)/3
What is i in 0 + 2/13*i**2 + 242/13*i = 0?
-121, 0
Factor 4*p**3 - 4*p**2 + 1 - 1 + 16*p**2 - 12*p**4 + 4*p**5 - 8*p.
4*p*(p - 2)*(p - 1)**2*(p + 1)
Let b = 59 + -57. Let g be (b/44)/((1 - -1)/8). What is c in -32/11 - g*c**2 + 16/11*c = 0?
4
Factor 40*f + 7*f**3 + 25*f**2 + 7*f**2 + 126*f**2 - 16*f**2.
f*(f + 20)*(7*f + 2)
Factor -2888*q**5 + 5775*q**5 - 2882*q**5 - 135*q**3 - 60*q**4 - 70*q**2.
5*q**2*(q - 14)*(q + 1)**2
Let s = -15/136 - -259/2040. Let v(f) be the third derivative of -13*f**2 + 1/3*f**3 + s*f**6 + 0 - 1/12*f**4 - 1/30*f**5 + 0*f. Factor v(b).
2*(b - 1)**2*(b + 1)
Suppose 5*f = -0*w - 4*w + 406, 0 = 5*f - 2*w - 382. Let s be -22*(f/(-66) + 1). Find y such that 4/5*y + 2/5*y**5 + 18/5*y**3 + 2*y**s + 14/5*y**2 + 0 = 0.
-2, -1, 0
Let a(g) = 2*g**4 + 20*g**3 + 16*g**2 + 3*g + 5. Let x(r) = -2*r**3 + r - 1. Let q(i) = -a(i) - 5*x(i). Factor q(b).
-2*b*(b + 1)*(b + 2)**2
Let l(f) be the first derivative of f**5/5 + 3*f**4/2 - 5*f**3 + 4*f**2 + 466. Factor l(h).
h*(h - 1)**2*(h + 8)
Let v = -135 - -677/5. Let m(j) be the first derivative of 2/5*j**2 - 2/15*j**3 - 5 - v*j. Determine i so that m(i) = 0.
1
Let d be (-8)/18 + 2080/1170. Factor -2/3*s**4 + 0*s + d*s**2 + 0*s**3 - 2/3.
-2*(s - 1)**2*(s + 1)**2/3
Let p(t) be the third derivative of t**5/140 + 12*t**4/7 - 215*t**2. Factor p(u).
3*u*(u + 96)/7
Factor 11/7*i**3 + 36/7 + 69/7*i + 1/7*i**4 + 43/7*i**2.
(i + 1)*(i + 3)**2*(i + 4)/7
Let c(p) be the third derivative of 0*p + 1/60*p**6 + 0 + 1/20*p**5 - 2/3*p**3 - 1/6*p**4 - 1/210*p**7 + 14*p**2. Solve c(s) = 0 for s.
-1, 2
Let s = 29 + -27. Factor 4*l + 9*l**2 + l - 4*l**s.
5*l*(l + 1)
Let r = 13437/3745 - -9/749. Factor -2/15*d**3 + 6/5*d**2 + 18/5 - r*d.
-2*(d - 3)**3/15
Let q(x) be the first derivative of -x**6/6 - 2*x**5/5 + 2*x**3/3 + x**2/2 - 331. Let q(v) = 0. What is v?
-1, 0, 1
Factor -14*t**3 - 15*t**2 - 12*t**3 + 36 + 29*t**3 - 24*t.
3*(t - 6)*(t - 1)*(t + 2)
Let -33*s**2 + 147*s**2 - 36*s**2 - 84*s - 44*s**2 - 32*s**2 - 86 = 0. What is s?
-1, 43
Factor 44/7*g**3 + 0 + 144/7*g - 2/7*g**4 - 152/7*g**2.
-2*g*(g - 18)*(g - 2)**2/7
Let k(x) be the third derivative of -x**6/150 + x**5/20 - 17*x**4/120 + x**3/5 + 2*x**2 + 138. Factor k(z).
-(z - 2)*(z - 1)*(4*z - 3)/5
Determine f so that -9/7*f**2 - 18/7 - 33/7*f = 0.
-3, -2/3
Let p(s) be the first derivative of -s**3/24 - 13*s**2/8 + 27*s/8 + 105. Factor p(o).
-(o - 1)*(o + 27)/8
Let o = -819 + 4096/5. Find h, given that 36/5 + o*h**2 + 12/5*h = 0.
-6
Let n(i) = -26*i**2 + 48*i + 194. Let m(v) = 82*v**2 - 145*v - 581. Let r(d) = 6*m(d) + 19*n(d). Solve r(h) = 0 for h.
-4, 25
Factor 334/9*v + 1/9*v**2 + 27889/9.
(v + 167)**2/9
Suppose 6*l - 128 = 46. Solve -36*r**2 - 12*r**2 - 5*r**5 - 25*r**4 + 13*r**2 - l*r**3 - 16*r**3 - 10*r = 0.
-2, -1, 0
Let c = -3296 + 3298. Factor -16/3*p + 16/3 + 4/3*p**c.
4*(p - 2)**2/3
Suppose -81/7 + 81/7*g - 27/7*g**2 + 3/7*g**3 = 0. What is g?
3
Factor 721*y + 6*y**5 + 14*y**4 - 12*y**3 - 721*y.
2*y**3*(y + 3)*(3*y - 2)
Let p(x) be the third derivative of -x**5/12 + 5*x**4/3 - 35*x**3/6 - 16*x**2 - 1. Solve p(s) = 0 for s.
1, 7
Let v(h) = -h**2 - 13*h + 12. Let f(z) = -2*z - 2. Let r(w) = 6*f(w) + v(w). Find p such that r(p) = 0.
-25, 0
Let y = -24 + 26. Suppose 0*a - y*a = 5*u - 18, -5*u = -4*a - 24. Let 2*i - 2/3*i**2 - 2/3*i**u + 4/3 - 2*i**3 = 0. What is i?
-2, -1, 1
Let w(i) be the first derivative of -3*i + 7/4*i**2 - 29 - 1/6*i**3. Let w(f) = 0. Calculate f.
1, 6
Let v = -2 + 27. Suppose 30 = u + v. Let -3/2*j - 3/4*j**4 + 9/4*j**3 + 3/4*j**2 + 0 - 3/4*j**u = 0. Calculate j.
-2, -1, 0, 1
Find t, given that -1/7*t**3 - 32/7*t + 4 + 11/7*t**2 = 0.
2, 7
Let w(o) be the second derivative of -o**5/540 + o**3/54 + 3*o**2/2 + 8*o. Let d(m) be the first derivative of w(m). Factor d(u).
-(u - 1)*(u + 1)/9
Let o(n) be the second derivative of -n**4/78 + 76*n**3/13 - 12996*n**2/13 + 353*n. Suppose o(c) = 0. What is c?
114
Let t(j) be the second derivative of 2*j**7/21 + 14*j**6/15 + 3*j**5/5 - 23*j**4/3 - 64*j**3/3 - 24*j**2 + 173*j. Factor t(h).
4*(h - 2)*(h + 1)**3*(h + 6)
Suppose 6 + 10 = a - 3*u, 0 = 5*a - u - 24. Let h(w) = -w + 4. Let i be h(a). Suppose i*v**2 + v**2 - 2 + 2*v - 3*v = 0. What is v?
-1, 2
Let w be (-63)/(-36) + (-6)/(-24). Factor 0 + 1/3*i**w - 1/6*i - 1/6*i**3.
-i*(i - 1)**2/6
Let b(f) be the first derivative of 0*f**4 - 9 - f**3 + 0*f + 3/5*f**5 + 0*f**2. Suppose b(x) = 0. What is x?
-1, 0, 1
Let l(z) be the first derivative of 4/3*z**3 + 26 + 0*z + 2*z**2 - 4/5*z**5 - z**4. Suppose l(t) = 0. What is t?
-1, 0, 1
Let i be (3/(-13))/(130/800 + (-1)/5). Suppose -4/13*j - i*j**3 - 32/13*j**4 - 34/13*j**2 + 0 = 0. What is j?
-2, -1/4, 0
Factor -1/2*a**2 - 10 - 1/2*a**3 + 8*a.
-(a - 2)**2*(a + 5)/2
Factor -42/11*f - 4*f**2 + 2/11.
-2*(f + 1)*(22*f - 1)/11
Let u(r) be the third derivative of r**6/40 - 11*r**5/60 - 19*r**4/24 - 5*r**3/6 + r**2 + 97. Determine o so that u(o) = 0.
-1, -1/3, 5
Let i = 7 - 5. Suppose -3*o - o = -z - 36, -o = -i*z - 16. Factor w**2 + 28*w - o - 2*w**2 - 4*w**2 - 7*w**2.
-4*(w - 2)*(3*w - 1)
Let p be 3 - (-5)/(-1*(-35)/14). Let 20/13*w**2 + 2/13 - 20/13*w**3 - 2/13*w**p + 10/13*w**4 - 10/13*w = 0. What is w?
1
Let b(g) be the second derivative of -g**7/28 - 3*g**6/20 + 3*g**5/8 + 27*g**4/8 + 8*g**3 + 9*g**2 - 27*g. Determine c so that b(c) = 0.
-2, -1, 3
Let l(x) be the third derivative of x**5/135 - 7*x**4/54 + 20*x**3/27 + 83*x**2. Find s such that l(s) = 0.
2, 5
Let c(b) = b**2 - 11*b. Let o(m) = m. Let r(h) = -3*c(h) - 6*o(h). Find w such that r(w) = 0.
0, 9
Factor 40/9 - 1/3*q**2 + 119/9*q.
-(q - 40)*(3*q + 1)/9
Suppose 3*y = -5*s + 21, -2*y + 92 - 79 = 3*s. Let q(n) be the first derivative of n**3 + 0*n + 6 - 1/2*n**6 - 9/4*n**4 + 0*n**y + 9/5*n**5. Factor q(d).
-3*d**2*(d - 1)**3
Suppose 2*c - 13 = 3. Let g(b) = -6*b**5 - 6*b**4 - 2*b**3 + 6*b**2 - 8*b + 8. Let q(r) = r**5 + r**4 - r**2 + r - 1. Let f(m) = c*q(m) + g(m). Factor f(z).
2*z**2*(z - 1)*(z + 1)**2
Let w(u) = u**2 - 6*u. Let t be w(-14). Factor -11*y**4 - 1067*y**4 + 102*y**5 + 848*y**2 + t*y**3 + 304*y + 32 + 241*y**5.
(y - 2)**2*(7*y + 2)**3
Let h(v) be the second derivative of 4*v - 5/6*v**3 + 25/4*v**2 + 0 + 1/24*v**4. Solve h(d) = 0 for d.
5
Suppose 110*l + 36 = 4*a + 106*l, 5*l + 33 = -a. Factor -26/5*o - 4/5 + 14/5*o**a.
2*(o - 2)*(7*o + 1)/5
Determine s, given that 75/2*s - 25/2 - 3/2*s**3 + 1/2*s**2 = 0.
-5, 1/3, 5
Let u(t) = 11*t**4 + 8*t**3 - 81*t**2 - 52*t. Let v(h) = 45*h**4 + 33*h**3 - 324*h**2 - 207*h. Let p(w) = -9*u(w) + 2*v(w). Suppose p(c) = 0. What is c?
-3, -2/3, 0, 3
Suppose -2*o = 3*o - 25. Let f(m) = -m**2 + 11*m - 27. Let n be f(o). Solve -8/3*x + x**2 - 4/3 + 1/3*x**4 + 11/3*x**n - x**5 = 0.
-1, -2/3, 1, 2
Solve 14/13*s**3 + 2/13*s**2 + 0*s + 0 + 12/13*s**4 = 0.
-1, -1/6, 0
Suppose 34*u = 131 + 73. Let x(b) be the second derivative of 3/4*b**2 + 0 - 1/12*b**4 - 10*b + 1/10*b**5 - 1/3*b**3 - 1/60*b**u. Solve x(i) = 