*3 - b*d**4 - 257 + 245 + 9*d**2 - 9*d**3.
-3*(d - 1)**2*(d + 2)**2
Let f be 24/(-11) + 2 - (-1232388)/(-1980). Let i = 623 + f. Suppose -8/5 - i*z**2 + 2*z = 0. What is z?
1, 4
Let u(l) = -2*l**3 - 11*l**2 + 3*l - 14. Let b be u(-6). Suppose 3*k - 9*y + 8*y = 1, b*k = -3*y + 23. Factor -1 - 1/2*h**k + 3/2*h.
-(h - 2)*(h - 1)/2
Let m(z) = 24*z**2 - 20*z - 46. Let c(o) = 20*o**2 - 19*o - 47. Let v(a) = 5*c(a) - 4*m(a). Let w be v(6). What is n in n - 2/5*n**2 + 6/5 - 1/5*n**w = 0?
-3, -1, 2
Let n(t) = 4*t + 74. Let i be n(-9). What is g in -i*g**2 - 48*g**2 + 83*g**2 + 28 + 40*g = 0?
-2/3, 14
Let b be (-1908)/(-153) - (3 + (270/10)/3). Find n, given that -b*n - 4/17*n**2 + 16/17 + 2/17*n**3 = 0.
-2, 2
Suppose 4*z - 8 = 4*g, 5*z - 2*g + 6*g - 28 = 0. Solve 26 + 66*y**2 + 3*y**z - 27*y**3 - 133 + 7 + 4 = 0 for y.
-1, 2, 4
Suppose -39*x + 34*x + 60 = 0. Let -101137*g**3 + 18*g**2 + 14*g**4 + x*g**5 + 101050*g**3 + 43*g**4 = 0. Calculate g.
-6, 0, 1/4, 1
Let j(k) be the second derivative of 3*k**6/10 + 1527*k**5/10 - 170*k**4 + 751*k. Factor j(n).
3*n**2*(n + 340)*(3*n - 2)
Factor -154*x + 460/3 + 2/3*x**2.
2*(x - 230)*(x - 1)/3
Let b be 47/342 - 14/126. Let w(m) be the first derivative of -b*m**4 + 0*m - 4 - 2/57*m**3 + 2/95*m**5 + 1/19*m**2. Factor w(d).
2*d*(d - 1)**2*(d + 1)/19
Let g be 0/(-3) + 2 + 8. Let r(l) = -13*l + 259. Let o be r(19). Find j such that 5*j**2 + o*j + g - 26 - 7*j**2 = 0.
2, 4
Let o(g) be the second derivative of g**4/72 + 541*g**3/18 + 292681*g**2/12 - 17*g + 21. Factor o(p).
(p + 541)**2/6
Suppose -25*i - 74 = 201. Let f be (22 + 110/i)/7. Factor 24/7*d + f*d**3 + 8/7 + 2/7*d**4 + 26/7*d**2.
2*(d + 1)**2*(d + 2)**2/7
Let x = -1469 + 1472. Suppose 0 = d - 2*y - 8, x*d + 7*y - 3 = 6*y. Factor -27/4 + 0*g + 3/4*g**d.
3*(g - 3)*(g + 3)/4
Let i be 48972/1590 + (4 - 28)/4. Determine g, given that 0 - 4/5*g**2 - i*g = 0.
-31, 0
Let k(u) = 15*u**4 - 5*u**3 - 60*u**2 + 35*u + 65. Let o(l) = -22*l**4 + 8*l**3 + 90*l**2 - 53*l - 99. Let w(j) = 7*k(j) + 5*o(j). Factor w(m).
-5*(m - 2)**2*(m + 1)*(m + 2)
Determine a so that 117/5*a - 114/5*a**2 + 0 - 3/5*a**3 = 0.
-39, 0, 1
Let p(v) be the third derivative of -10/3*v**3 + 0 - 4*v**2 - 1/4*v**5 - 5/2*v**4 + 5/24*v**6 + 3*v. Find h, given that p(h) = 0.
-1, -2/5, 2
Let u(f) = 5*f**2 - 5*f - 16. Suppose 66 = 7*m + 80. Let q(r) = 36*r**2 - 36*r - 111. Let j(p) = m*q(p) + 15*u(p). Factor j(o).
3*(o - 3)*(o + 2)
Let k(a) be the second derivative of -a**7/70 - a**6/10 + 15*a**2 + 6*a. Let t(v) be the first derivative of k(v). Factor t(r).
-3*r**3*(r + 4)
Suppose 117/2*p**2 + 29*p + 30*p**3 + 1/2*p**4 + 0 = 0. Calculate p.
-58, -1, 0
Let a(x) be the third derivative of x**6/180 + 2*x**5/3 + 13*x**4/4 - 25*x**3/2 + 17*x**2. Let h(t) be the first derivative of a(t). Factor h(q).
2*(q + 1)*(q + 39)
Suppose 12*q - 1030 = 7*q. Suppose 10*t**3 + 11*t**3 + 42*t + q*t**2 - 53*t**2 = 0. What is t?
-7, -2/7, 0
Let q(p) be the second derivative of p**6/75 + 1003*p**5/50 + 1001*p**4/10 + 3001*p**3/15 + 200*p**2 - 372*p - 13. Let q(k) = 0. Calculate k.
-1000, -1
Factor -172800/7*g**2 + 0*g + 1437/7*g**4 + 24480*g**3 + 0 + 3/7*g**5.
3*g**2*(g - 1)*(g + 240)**2/7
Let v be (-12958)/(-651) + 428/84 + -5. Let g(c) be the first derivative of -v + 5/2*c**2 - 5/3*c**3 + 10*c. Find z such that g(z) = 0.
-1, 2
Let k(m) be the first derivative of m**3/3 - 79*m**2 + 6241*m + 409. Suppose k(j) = 0. What is j?
79
Suppose 26045*d**5 - 29*d**3 + 4*d + 2*d**3 - 26049*d**5 - 8*d**2 - 19*d**4 = 0. What is d?
-2, -1, 0, 1/4
Let s(m) be the second derivative of 23/24*m**3 + 0*m**2 + 21*m + 0 + 1/48*m**4. Factor s(k).
k*(k + 23)/4
Determine b so that 27/5*b**2 - 26/5 + 5*b**3 - 1/5*b**4 - 5*b = 0.
-1, 1, 26
Let p(b) = -22*b - 2. Let a be p(0). Let h be -5 + a*(-78)/30. Suppose h*y**5 + 8/5*y**3 + 4/5*y**2 + 0*y + 0 + y**4 = 0. Calculate y.
-2, -1, 0
Let y(l) be the first derivative of -12*l**2 + 0*l - 38 + 0*l**3 + 25/24*l**4 - 1/12*l**5. Let n(b) be the second derivative of y(b). What is q in n(q) = 0?
0, 5
Let d(s) = 7733710*s**3 - 1338480*s**2 + 77220*s - 1575. Let u(v) = 703064*v**3 - 121680*v**2 + 7020*v - 143. Let g(c) = -4*d(c) + 45*u(c). Factor g(b).
5*(52*b - 3)**3
Let d(k) be the third derivative of 1/9*k**3 - 45*k**2 + 1/24*k**4 + 1/180*k**5 + 0 + 0*k. Suppose d(g) = 0. Calculate g.
-2, -1
Let z(h) be the third derivative of -h**7/1470 + 23*h**6/140 - 5737*h**5/420 + 2806*h**4/7 - 119072*h**3/21 + 1763*h**2 + h. Factor z(n).
-(n - 61)**2*(n - 8)**2/7
Let p(x) = -11*x**3 - 3226*x**2 - 12738*x - 12881. Let l(g) = 4*g**3 + 1076*g**2 + 4244*g + 4294. Let c(o) = -17*l(o) - 6*p(o). Find b such that c(b) = 0.
-2, 536
Let l(p) be the second derivative of 1/75*p**6 + 75*p + 1/30*p**3 - 1/30*p**4 + 0*p**2 - 1/210*p**7 + 0 + 0*p**5. Factor l(h).
-h*(h - 1)**3*(h + 1)/5
Let k(b) = 4*b**3 - 11*b**2 - 26*b + 17. Let c = -353 - -393. Let q(f) = 2*f**2 + f - 1. Let x(l) = c*q(l) + 5*k(l). Determine d, given that x(d) = 0.
-3, 3/4, 1
Let l = -531489/8 + 66438. What is r in -3/8*r**2 + l*r - 3/8*r**3 - 9/8 = 0?
-3, 1
Let s = 2735/8 + -8197/24. Let t(h) be the third derivative of s*h**4 - 1/15*h**6 - 10*h**2 + 4/45*h**5 + 0*h + 0 + 2/315*h**7 - 10/9*h**3. Factor t(d).
4*(d - 5)*(d - 1)**2*(d + 1)/3
Let i = -168 + -136. Let x = 304 + i. Factor 0 + x*q - 2/7*q**2 + 2/7*q**3.
2*q**2*(q - 1)/7
Factor 92/9*b - 176/3 - 4/9*b**2.
-4*(b - 12)*(b - 11)/9
Let i be (0 - -60) + 18489648/6040. Factor -265302/5 + i*d + 2/5*d**3 - 306/5*d**2.
2*(d - 51)**3/5
Let h be (-144)/(-528)*(6 - (-549)/(-108)). What is y in 60*y**5 + h*y - 97/4*y**3 + 2*y**2 + 34*y**4 + 0 = 0?
-1, -1/15, 0, 1/4
Suppose 53*n = 2*c + 177, 5*c = -1 - 44. Solve -15/4*s**n + 9/2 - 15/2*s**2 + 25/4*s + 1/2*s**4 = 0 for s.
-2, -1/2, 1, 9
Let v(i) be the first derivative of 8 + 0*i + 111/4*i**4 + 21/5*i**5 + 52*i**3 + 18*i**2. Factor v(j).
3*j*(j + 2)*(j + 3)*(7*j + 2)
Let x = -422 - -448. Suppose -43*r - 9*r - 32 + 10 - x - 4*r**2 = 0. Calculate r.
-12, -1
Let y = -113 + 129. Factor 16*x**2 + 12*x**2 + y*x**3 + 4*x**4 - 28*x**2.
4*x**3*(x + 4)
Let n(k) be the second derivative of -10 - 1/10*k**6 + 0*k**2 + 2*k**3 + k**4 - 3/20*k**5 - k. Solve n(b) = 0 for b.
-2, -1, 0, 2
Let 5342*g**4 - g**5 - 540*g - 145*g**3 - 216 - 2688*g**4 - 2674*g**4 - 450*g**2 = 0. Calculate g.
-6, -1
Let x(g) be the second derivative of g**7/63 + 11*g**6/45 + 14*g**5/15 - 8*g**4/9 - 128*g**3/9 - 112*g**2/3 - 2104*g. Determine s, given that x(s) = 0.
-7, -2, 2
Let y = 150476/9 - 1053305/63. Factor 4/7 - 1/7*c**2 + y*c.
-(c - 4)*(c + 1)/7
Let 491*j - 6*j**4 - 4200 - 783*j + 3*j**4 + 15*j**3 - 881*j + 558*j**2 - 2487*j = 0. What is j?
-14, -1, 10
Suppose 0 = -5*c + 2*y + 68, -20 = -69*c + 70*c + 8*y. Determine k so that -2/5*k**3 + 62/5*k - c*k**2 + 0 = 0.
-31, 0, 1
Let d(o) = -2*o**4 + 2*o**3 - o + 1. Let q(i) = -18*i**4 + 14*i**3 + 30*i**2 - 54*i + 28. Let s(n) = -8*d(n) + q(n). Factor s(u).
-2*(u - 2)*(u - 1)**2*(u + 5)
Let h be 64/((-208)/(-13))*((-6)/4 + 2). Solve 0 - 5/2*q**2 - h*q**3 + 1/2*q**4 + 0*q = 0 for q.
-1, 0, 5
Suppose 0 = -33*a + 37*a + 36. Let b = 16 + a. Factor 3*u**4 + 3*u**3 + b*u - 6*u**4 - 7*u.
-3*u**3*(u - 1)
Let n be ((-209)/836)/(4/(-48) - 0). Determine j so that -1/3*j**n + 8*j**2 - 64*j + 512/3 = 0.
8
Let r(c) = -7*c**2 - 13*c + 18. Let n(a) = 15*a**2 + 29*a - 39. Let z(h) = 2*n(h) + 5*r(h). Find v such that z(v) = 0.
-12/5, 1
Let u = 118 + -118. Suppose -14 = -87*b + 160. Factor -6/17*s**4 + u + 6/17*s**3 + 2/17*s**5 - 2/17*s**b + 0*s.
2*s**2*(s - 1)**3/17
Let n(k) be the third derivative of 7/180*k**6 + 1/945*k**7 - 181*k**2 + 0 - 200/27*k**3 + 0*k + 5/9*k**4 + 59/135*k**5. Suppose n(l) = 0. Calculate l.
-10, -2, 1
Let q(z) = -z**3 + 15*z**2 - z + 9. Let m be q(15). Let j be m/(-4) + ((-21)/2)/7. Factor j*u + 4*u**3 + 0*u**3 - 3*u**3 - u.
u*(u - 1)*(u + 1)
Let o(h) be the third derivative of h**7/945 - 2*h**6/45 - h**5/90 + 35*h**4/54 + 16*h**3/9 - 6*h**2 + 84. Suppose o(w) = 0. What is w?
-1, 2, 24
Let b be 1/(-10) + (-6)/(3240/(-4734)). Solve 40*r + 24 + 2/3*r**4 - 20/3*r**3 + b*r**2 = 0.
-1, 6
Let g(q) be the third derivative of q**6/24 + 4163*q**5/12 + 902200*q**4 - 3612270*q**3 + 5492*q**2. Factor g(n).
5*(n - 1)*(n + 2082)**2
Let t(j) be the first derivative of 39 + 2/3