 = 15*s + 531. Let n be v(-35). Let a(b) be the second derivative of 1/15*b**n + 3*b + 0 - 1/3*b**4 + 0*b**3 + b**2 + 0*b**5. Solve a(l) = 0.
-1, 1
Factor 270/7 - 3/7*c**2 - 39/7*c.
-3*(c - 5)*(c + 18)/7
Suppose -6097 + 248 = 4*o + a, 0 = -5*o - 4*a - 7325. Let s = o - -1464. Factor 2/7*z**s + 22/7*z - 10/7 - 2*z**2.
2*(z - 5)*(z - 1)**2/7
Find w, given that 116*w**4 + 9*w**3 + 1637*w**2 + 8 - 96*w**3 + 92*w - 1745*w**2 - 5*w**3 - 16*w**4 = 0.
-1, -2/25, 1
Factor -12/7*v + 12 + 3/7*v**3 - 3*v**2.
3*(v - 7)*(v - 2)*(v + 2)/7
Find g such that -187*g - 1/3*g**5 - 80/3*g**2 + 14*g**4 + 62*g**3 + 138 = 0.
-3, 1, 46
Let d(g) be the first derivative of -2*g**3/3 - 499*g**2/3 + 668*g/3 + 45. Factor d(a).
-2*(a + 167)*(3*a - 2)/3
Let y(d) = -38*d + 63. Let a be y(-6). Let w(n) = -n**3 + 12*n**2 + 8*n - 5. Let k be w(7). Factor 20*c - 13 - 7 + a*c**2 - k*c**2.
-5*(c - 2)**2
Let b(a) be the third derivative of 256*a**7/245 + 232*a**6/35 - 186*a**5/35 + 95*a**4/56 - 2*a**3/7 + 1464*a**2. Suppose b(u) = 0. Calculate u.
-4, 1/8
Let c(y) = -y**3 + 7*y**2 - 12*y + 16. Let z be c(5). Factor z - 20 + i**2 + 3*i + 9 + 0 + i.
(i - 1)*(i + 5)
Let n = -63 + 87. Suppose -6*o + n = -2*o. Factor 8*j + 7*j**3 - o*j**3 + 4 - 4*j**4 - 9*j**3.
-4*(j - 1)*(j + 1)**3
Let q = 5/866 + 13841/2598. Let p(n) = 5*n**2 + 20*n + 2. Let h be p(-4). Factor 1/6*j**3 + 0*j + q - j**h.
(j - 4)**2*(j + 2)/6
Suppose -3*m + 5*t + 4 = 0, m = 3*m + 4*t + 12. Let k be (10/(-25))/(m/5). Factor -2*v**3 + 8*v**2 + k - 16*v**2 + 13*v + 9*v - 13.
-2*(v - 1)**2*(v + 6)
Let o(f) be the first derivative of f**6/3 - 66*f**5/5 + 113*f**4/2 + 194*f**3/3 - 282*f**2 - 464*f - 1661. Determine g, given that o(g) = 0.
-1, 2, 4, 29
Suppose -37*h = 19 - 167. Suppose -l**h + 3*l + 32 - 4*l**4 + 7*l**3 + 4*l**4 - 6*l**2 - 26*l - 9*l = 0. What is l?
-2, 1, 4
Let h be 3*(-92)/(-84) - (28 - 25). Let b(i) be the second derivative of -1/21*i**4 + 0*i**2 + 0 - i + h*i**3. Suppose b(q) = 0. What is q?
0, 3
Suppose -4/5*a**2 - 5673924/5 + 9528/5*a = 0. What is a?
1191
Let m(x) be the second derivative of 0 + 1/80*x**5 + 35*x + 1/8*x**4 + 1/2*x**3 + x**2. Let m(j) = 0. Calculate j.
-2
Let s(f) be the second derivative of f**5/2 + 17*f**4/12 - 217*f**3/6 - 22*f**2 - 3520*f. Factor s(v).
(v - 4)*(2*v + 11)*(5*v + 1)
Let x be (-28 - 8954/(-296))*8/15. What is c in x*c - 4/5*c**2 + 0 - 2/5*c**3 = 0?
-3, 0, 1
Let j(h) = -2*h**2 + 5. Let b be j(0). Suppose q - 1 = -0, o - 7 = b*q. Factor 3*y**2 - 114*y - o*y**4 - 9*y**3 + 114*y.
-3*y**2*(y + 1)*(4*y - 1)
Let v = -943/5 - -5713/30. Let x(i) be the third derivative of 13/15*i**5 - 4/3*i**3 + 21*i**2 + 0*i + v*i**4 + 0. Let x(t) = 0. What is t?
-1, 2/13
Let a be (2/(-3))/(12/(-54)). Let v = -24/4063 + 16324/12189. Factor -16/3*g**2 + 0 + 0*g - v*g**a.
-4*g**2*(g + 4)/3
Let s = 8115/4739 - -9/4739. Find w, given that s - 24/7*w + 3/7*w**2 - 3/7*w**4 + 15/7*w**3 - 3/7*w**5 = 0.
-2, 1
Suppose 81/4*g**4 + 648*g + 195*g**3 + 3/4*g**5 + 756*g**2 - 1620 = 0. What is g?
-10, -6, 1
Suppose 11*w - 9 = 123. Suppose 6*c - 3*c - w = 0. Factor -8*y**3 + 4*y**c + 0*y**4 + 2*y**4 - 2*y**4 + 4*y**2.
4*y**2*(y - 1)**2
Let p(w) be the second derivative of w**5/160 - 101*w**4/96 + 833*w**3/16 + 2601*w**2/16 - 26*w + 62. Solve p(x) = 0.
-1, 51
Let y(f) be the first derivative of -f**6/3 - f**5/3 + 49*f**4/4 - 238*f**3/9 - 2*f**2 + 24*f - 1957. Suppose y(i) = 0. Calculate i.
-6, -1/2, 2/3, 2, 3
Solve -32*t**3 + 18*t**4 - 69*t**2 - 1/2*t**5 + 51 + 65/2*t = 0 for t.
-1, 1, 3, 34
Let a(h) be the third derivative of -h**5/150 + h**4/12 + 42*h**3/5 + 9529*h**2. Determine w, given that a(w) = 0.
-9, 14
Suppose 0 = -4*w - 5*j + 153, 2*w + 0*w - 44 = 4*j. Suppose 5*h + 22 = w. Suppose 6*f - 3*f + 71*f**h - 56*f**2 + 10*f**3 + 2*f = 0. Calculate f.
-1, -1/2, 0
Suppose 0 = -5*q + 8*z - 3*z + 260, -q + 40 = 5*z. Suppose 0 = -45*n + q*n - 20. Solve -19*d**3 - d**3 + 20*d**2 + 18*d**4 - 13*d**n = 0.
0, 2
Factor -1648*d + 44*d**2 - 15*d**2 - 6*d**2 + 339488 - 10*d**2 - 11*d**2.
2*(d - 412)**2
Let x(k) be the first derivative of -k**2 - 16/9*k + 174 - 2/27*k**3. Suppose x(s) = 0. What is s?
-8, -1
Let l = 473 + -456. Factor -3*f**2 + 7 - 11 + 36*f + l - 14 - 32.
-3*(f - 11)*(f - 1)
Let x(w) = 6*w + 8*w - 27*w + 18*w - 23 + 15*w - 8*w**2. Let y(z) = 11*z**2 - 29*z + 35. Let n(g) = -7*x(g) - 5*y(g). Factor n(v).
(v - 2)*(v + 7)
Let x(u) be the second derivative of u**4/66 + 46*u**3/33 + 205*u**2/11 + 985*u. Determine k, given that x(k) = 0.
-41, -5
Factor 241 + 72*p + 182 + 3*p**2 - 354.
3*(p + 1)*(p + 23)
Let u(f) be the third derivative of -f**5/80 - 11*f**4/32 - 15*f**3/4 - 1290*f**2. Find n, given that u(n) = 0.
-6, -5
Let i(m) be the third derivative of m**7/105 - 41*m**6/60 + 397*m**5/30 + 175*m**4/4 - 294*m**3 - 2*m**2 + 316*m. Factor i(h).
2*(h - 21)**2*(h - 1)*(h + 2)
Let x(f) = -8*f**2 + 75*f + 140. Let m(w) = -3*w**2 - 2. Let q(d) = 3*m(d) - x(d). Factor q(c).
-(c + 2)*(c + 73)
Let l = 594 + -541. Suppose 52*b - l*b + 2 = 0. Find u, given that 14/5*u - 12/5*u**b - 2/5 = 0.
1/6, 1
Let x(r) be the first derivative of -20 + 0*r + 14/33*r**3 - 2/11*r**2. Solve x(t) = 0.
0, 2/7
Let b(n) be the second derivative of n**7/294 + n**6/70 - n**5/35 + 3542*n. Factor b(k).
k**3*(k - 1)*(k + 4)/7
Suppose -670*f = -690*f + 60. Let z(l) be the first derivative of 0*l**2 - 5/24*l**6 + 3/4*l**5 + 0*l**f + 0*l - 5 + 5/4*l**4. Factor z(s).
-5*s**3*(s - 4)*(s + 1)/4
Let z(w) be the first derivative of 3*w**5/20 + 12*w - 33. Let s(g) be the first derivative of z(g). Let s(k) = 0. What is k?
0
Let 265/3*a + 0 + 5/3*a**3 + 90*a**2 = 0. Calculate a.
-53, -1, 0
Let u = 16041 + -16032. Find q, given that -2*q**2 + u + 1/2*q**3 - 3/2*q = 0.
-2, 3
Suppose 3*h = g - 13, -5 = 5*g - h - 0*h. Let m(c) = -4*c**3 - 12*c**2 - 8*c. Let y(s) = -17*s**3 - 49*s**2 - 30*s. Let q(t) = g*y(t) + 9*m(t). Factor q(i).
-2*i*(i + 2)*(i + 3)
Let f(h) be the second derivative of h**4/90 + 3*h**3/5 + 42*h**2/5 - 5715*h. Factor f(q).
2*(q + 6)*(q + 21)/15
What is z in 0 + 0*z - 8/9*z**3 + 40/3*z**2 - 2/9*z**5 - 22/9*z**4 = 0?
-10, -3, 0, 2
Let q(s) = -5*s**3 - 8*s**2 - 18*s - 30. Let w be q(-2). Let m(o) be the first derivative of w - 4/7*o**3 - 5/7*o**2 + 2/7*o. Factor m(c).
-2*(c + 1)*(6*c - 1)/7
Factor -s**2 - 2*s**2 + 855*s + 4*s**2 + 4*s**2 - 880*s.
5*s*(s - 5)
Let v = 552930 + -552925. Factor 65/2*x**2 - 15*x + 0 - v*x**3.
-5*x*(x - 6)*(2*x - 1)/2
Let l(v) be the second derivative of -v**8/23520 - v**7/8820 - 65*v**4/12 - 4*v - 5. Let z(k) be the third derivative of l(k). Factor z(p).
-2*p**2*(p + 1)/7
Solve 36/7*y**3 - 24/7*y**4 + 8*y**2 + 0*y + 0 - 4/7*y**5 = 0 for y.
-7, -1, 0, 2
Solve -2/5*h**5 + 0 + 4/5*h**4 + 0*h + 4*h**2 + 26/5*h**3 = 0.
-2, -1, 0, 5
Let j(d) = -26*d + 125. Let u be j(4). Suppose 136*c - 143*c = -u. Let 44/7*o**2 + 24/7*o + 0 + 12/7*o**c = 0. What is o?
-3, -2/3, 0
Let -904*w**3 + 900 + 4/3*w**4 - 8104/3*w + 2704*w**2 = 0. Calculate w.
1, 675
Let a(z) = 2*z**3 + z**2 + z - 1. Suppose 0 = 29*v - 9*v - 240. Let w(c) = 9*c**3 + 7*c - 4. Let p(m) = v*a(m) - 3*w(m). Let p(y) = 0. What is y?
0, 1, 3
Let 1363*u - 331*u - 2*u**2 - 212*u - 4*u**2 - 1350 = 0. What is u?
5/3, 135
Let y be -2 - (2 + 2) - 2. Let w be 7 - y/(-12)*10. Find r, given that w*r**3 + 2*r**2 + 4/3 + 3*r = 0.
-4, -1
Suppose 3*v - 2 = -2*d - 9, 2*v + 10 = -2*d. Let q(x) = x + 11. Let t be q(d). Factor 4*r - 17*r - 8*r - t*r**2.
-3*r*(r + 7)
Let a be (-5)/(-30) - (-2)/(-12). Let p be (-13)/(-130)*(-10)/(-3). Solve 0*d + a*d**3 - p*d**4 + 2/3*d**2 - 1/3 = 0.
-1, 1
Let c(p) be the third derivative of 79*p**2 + 0*p**5 + 0*p**4 + 1/1176*p**8 + 0 + 0*p + 0*p**3 + 1/105*p**6 + 4/735*p**7. Determine f so that c(f) = 0.
-2, 0
Let b(x) be the first derivative of -10/13*x**2 + 2/13*x + 6/13*x**3 - 50. Let b(k) = 0. Calculate k.
1/9, 1
Let f(v) = -25*v**3 + 1635*v**2 - 14040*v + 35180. Let x(r) = -2*r**3 + 126*r**2 - 1080*r + 2706. Let s(n) = 3*f(n) - 40*x(n). Factor s(w).
5*(w - 15)*(w - 6)**2
Let n(j) be the third derivative of -11*j**6/480 + 107*j**5/480 + 49*j**4/64 + 3*j**3/8 - 14*j**2 + 40. Determine t so that n(t) = 0.
-1, -3/22, 6
Let z be (4/(-42)*3)/(32/(-224)). Factor 50*t**4 - 124*t**4 + 2*t**5 + 24*t**3 - 20*t**z + 0*t**5 + 62*t**4 + 6*t.
2*t*(t - 3)*(t - 1)**3
