222)**2*(6*h - 5)**2/4
Let a(k) be the first derivative of -26569*k**3/12 + 1141*k**2/2 - 49*k + 365. Solve a(w) = 0 for w.
14/163
Let r(g) = -2*g + 13. Let b be r(5). Factor 56*v**3 + 11*v**4 + 250*v - 6*v**4 + 4*v**b + 225*v**2.
5*v*(v + 2)*(v + 5)**2
Factor 636/7*h + 4/7*h**2 + 0.
4*h*(h + 159)/7
Find l, given that -1/3*l**5 + 1/6*l**3 - 13/3*l**2 + 14/3*l + 7/6*l**4 - 4/3 = 0.
-2, 1/2, 1, 2
Let a(h) be the first derivative of 13 + 1/12*h**6 - 1/3*h**3 + 9/10*h**5 + 7/4*h**4 - 7/2*h - 15/4*h**2. Factor a(g).
(g - 1)*(g + 1)**3*(g + 7)/2
Let c = -53 - -101. Let o = 55 - c. Solve -18*y**3 - 7*y**3 + 5*y + o*y - 2*y + 15*y**2 = 0.
-2/5, 0, 1
Let y be (14/102)/(13/(21840/392)). Solve 4/17 - 2/17*t**3 - y*t + 8/17*t**2 = 0 for t.
1, 2
Suppose -4*y - 6 = 3*k, -5*k - y + 3 = 30. Let z be 7 + (k + 10 - -4). Let 5/2*r**2 + 0 - z*r = 0. What is r?
0, 6
Suppose 4*l + q - 1 = 0, 8 = -2*l - 3*q + 11. Let a(s) be the second derivative of -1/15*s**4 - 16*s + 18/5*s**2 - 16/15*s**3 + l. Factor a(n).
-4*(n - 1)*(n + 9)/5
Let n(w) be the third derivative of -w**9/30240 - w**8/10080 + 17*w**5/60 - 42*w**2. Let a(y) be the third derivative of n(y). Let a(r) = 0. What is r?
-1, 0
Let s = 3205 - 3205. Let z(h) be the first derivative of s*h + 8/3*h**3 + 3*h**4 + 4/5*h**5 - 5 + 0*h**2. Find c such that z(c) = 0.
-2, -1, 0
Solve -380*q - 3939*q**2 - 530 - 4*q**3 + 54 + 1962*q**2 + 2069*q**2 = 0 for q.
-1, 7, 17
Let j = -4/545 - -4428/9265. Factor 24/17*r + j + 18/17*r**3 - 50/17*r**2.
2*(r - 2)*(r - 1)*(9*r + 2)/17
Let m be -2*(-15)/(-1 + 4). Let k be m/15*24 - -5. Factor -k*c + 8 + 50*c + 4*c**2 - 17*c.
4*(c + 1)*(c + 2)
Let h(p) be the second derivative of -p**5/100 - 2*p**4/15 + 19*p**3/30 - p**2 + 733*p. Suppose h(z) = 0. What is z?
-10, 1
Suppose -6*x**3 + 237*x**2 + 255*x - 100 - 75*x - 146 + 195*x = 0. What is x?
-2, 1/2, 41
Let u(k) be the second derivative of k**5/70 + 55*k**4/21 + 3200*k**3/21 + 4000*k**2 + 8059*k. Factor u(b).
2*(b + 20)**2*(b + 70)/7
Find z, given that 131/4*z**2 + 41 - 3/4*z**3 - 83*z = 0.
2/3, 2, 41
Let o(i) = -4*i + 99. Let h be o(26). Let q(u) = -31*u - 152. Let y be q(h). Suppose 0 - 1/12*s**5 - 1/6*s**y - 1/3*s**4 + 1/3*s**2 + 1/4*s = 0. What is s?
-3, -1, 0, 1
Let j = 153569/230376 + 5/76792. Let 4/3 - 2/3*f**2 - j*f = 0. Calculate f.
-2, 1
Let h(v) = 4*v**2 - 2*v - 20. Let j be h(-4). Let p = 55 - j. Solve 0*r**2 + 2*r**2 - 3*r**3 - 2*r**4 + 5*r**p + 80*r - 82*r = 0 for r.
-1, 0, 1
Let j = 144 + -145. Let d be 244/(-1281)*(-1 - (1 - j)). What is x in 0 - d*x**2 - 12/7*x = 0?
-3, 0
Solve -4/3*g + 0 - 5/3*g**2 - 1/3*g**5 + 5/6*g**4 + 5/2*g**3 = 0.
-2, -1/2, 0, 1, 4
Let w = -562352/3 - -187456. Solve -1/3*q**2 + 17/3 - w*q = 0 for q.
-17, 1
Let g(j) be the first derivative of -2*j**6/15 + 6*j**5/5 - 8*j**4/3 + 22*j - 75. Let p(q) be the first derivative of g(q). Factor p(s).
-4*s**2*(s - 4)*(s - 2)
Let s(z) = 6*z**3 + 450*z**2 + 906*z + 462. Let k(g) = 3*g**3 - g + 2. Let c(n) = -3*k(n) + s(n). Solve c(l) = 0 for l.
-1, 152
Let m be -5 - (3/(-2) + 1)*22. Find n, given that m*n - 9*n + 19*n**4 - 27*n**2 - 18*n**3 - 9*n - 22*n**4 = 0.
-4, -1, 0
Let k(m) be the first derivative of 1/4*m**4 - 1/9*m**3 + 0*m + 1/15*m**5 - 1/2*m**2 - 44. Determine d, given that k(d) = 0.
-3, -1, 0, 1
Factor -75/2 + 35*y + 5/2*y**2.
5*(y - 1)*(y + 15)/2
Let s(i) be the first derivative of i**6/300 - 16*i**5/75 + 31*i**4/60 + 173*i**2/2 - 77. Let r(z) be the second derivative of s(z). What is p in r(p) = 0?
0, 1, 31
Determine m, given that -446/7*m - 286/7*m**2 + 94/7*m**3 + 18/7*m**4 - 12 = 0.
-7, -1, -2/9, 3
Let w(b) be the first derivative of -1/20*b**4 + 16/5*b + b**2 - 196 - 7/15*b**3. Factor w(t).
-(t - 2)*(t + 1)*(t + 8)/5
Let t(i) = -i**2 + i - 2. Let y(p) = -8*p**2 + 398*p - 1590. Let j(g) = 18*t(g) - 2*y(g). Let j(h) = 0. Calculate h.
-393, 4
Let w(l) be the first derivative of 4/3*l**2 - 2/9*l**3 - 8/3*l + 59. Factor w(o).
-2*(o - 2)**2/3
What is u in 177*u - 57*u + 225*u + 53 + 198*u - 593 - 3*u**2 = 0?
1, 180
Let g = 21/23 + -19/46. Let d be 11/(363/60) + 20/110. Factor 1/2*f + 2*f**d - 3 + g*f**3.
(f - 1)*(f + 2)*(f + 3)/2
Let x be 1*4/17 + (-138)/(-121992)*13. Factor m**4 - 11/4*m**3 + 3/2*m**2 + x*m**5 + 0*m + 0.
m**2*(m - 1)**2*(m + 6)/4
Let g(c) be the first derivative of c**4 + 28*c**3/3 - 56*c**2 + 80*c - 1761. Let g(d) = 0. What is d?
-10, 1, 2
Let r be 14 + -15 - 2340/4. Let v = 2934/5 + r. Let -4/5*m**4 + 0 - v*m + 4/5*m**3 + 4/5*m**2 = 0. Calculate m.
-1, 0, 1
Let y(f) be the third derivative of 0*f + 13/42*f**5 - 3/4*f**4 + 5*f**2 - 2/21*f**3 - 1. Factor y(p).
2*(p - 1)*(65*p + 2)/7
Solve -164/9*j + 1/9*j**2 + 6724/9 = 0.
82
Let p(b) = 6*b**3 - 1459*b**2 + 239*b + 976. Let f be p(243). What is h in -1/2*h**3 - 3/2*h**2 + 3/2*h**f + 0*h + 0 + 1/2*h**5 = 0?
-3, -1, 0, 1
Suppose -15*q + 11*q + 8 = 0. Let w be 84/(-105)*(-5)/q. Factor 1/3*l + 2/3*l**w + 0 + 1/3*l**3.
l*(l + 1)**2/3
Let o(t) be the second derivative of t**7/42 + 7*t**6/15 - 3*t**5/4 - 107*t - 1. Let o(a) = 0. What is a?
-15, 0, 1
Let s(a) = 3*a**3 + 55*a**2 + 50*a - 96. Let b(w) = 52*w + 20 + 3*w**3 - 35 - 81 + 56*w**2. Let r(j) = -4*b(j) + 5*s(j). Factor r(d).
3*(d - 1)*(d + 2)*(d + 16)
Let u(t) = 28*t**2 - 56*t - 1. Let g(y) be the second derivative of y**4/2 - 11*y**3/6 - 3*y + 20. Let k(n) = 11*g(n) - 2*u(n). Factor k(m).
(2*m - 1)*(5*m - 2)
Let z(b) be the third derivative of 0*b**4 + 2*b**2 + 0*b - 1/210*b**7 + 0*b**3 + 0*b**5 - 7/120*b**6 - 102. Determine t, given that z(t) = 0.
-7, 0
Factor 1/4*y**4 - 7/4*y**2 + 5*y - 1/2*y**3 - 3.
(y - 2)**2*(y - 1)*(y + 3)/4
Factor 13*c**2 + 6228 - 36*c**2 + 2*c**2 + 10*c**2 + 6230*c + 13*c**2.
2*(c + 1)*(c + 3114)
Let h be (-62)/(-341) - ((-1950)/165 - -10). Factor 0 + 1/4*c**3 + 0*c - 3/4*c**h.
c**2*(c - 3)/4
Let n(f) be the third derivative of -f**6/156 + f**5/15 + 209*f**4/156 - 230*f**3/39 - 35*f**2 + 5*f - 3. Suppose n(b) = 0. What is b?
-5, 1, 46/5
Factor 351785*c + 46*c**3 - 43*c**3 + 491268*c + 639574*c + 1406*c**2 + 2812*c**2.
3*c*(c + 703)**2
Factor 4/5*i**3 + 76*i**2 + 388/5 - 772/5*i.
4*(i - 1)**2*(i + 97)/5
Let n(g) be the second derivative of 4*g**4/3 + 101*g**3/9 + 20*g**2/3 - 5300*g. Suppose n(i) = 0. Calculate i.
-4, -5/24
Let k = -26/50455 - -827488/50455. Factor 8/5*g**3 + 92/5*g + k*g**2 + 18/5.
2*(g + 1)*(g + 9)*(4*g + 1)/5
Let x be ((-143)/11)/((-65)/10). Let v(y) be the third derivative of 16*y**x + 0*y**3 + 0 + 1/200*y**6 + 0*y + 0*y**5 - 1/40*y**4. Factor v(j).
3*j*(j - 1)*(j + 1)/5
Let i = 603493/7 - 86211. Solve 28*l**4 - 16*l**3 - 180/7*l**2 - i + 16*l = 0 for l.
-1, 2/7, 1
Let 3*k**3 + 99/5*k**2 + 108/5 + 192/5*k = 0. What is k?
-18/5, -2, -1
Suppose -2510*r + 2546*r = 0. Let -18/5 + r*s + 2/5*s**2 = 0. Calculate s.
-3, 3
Factor -10609/3 + 206/3*y - 1/3*y**2.
-(y - 103)**2/3
Factor -104 - 2/3*d**2 - 86/3*d.
-2*(d + 4)*(d + 39)/3
Let o(l) be the second derivative of -3*l**5/80 + 65*l**4/16 - 1023*l**3/8 - 3267*l**2/8 - 3266*l. Factor o(k).
-3*(k - 33)**2*(k + 1)/4
Let x(f) be the second derivative of -f**4/3 - 1384*f**3/3 - 239432*f**2 - 1373*f. Factor x(t).
-4*(t + 346)**2
Suppose -j = -0*j - c - 134, -4*c - 8 = 0. Factor -540 - 72*o + 311*o**2 - 158*o**2 - j*o**2 + 3*o**3.
3*(o - 5)*(o + 6)**2
Determine p so that -1359/8*p**2 + 9/2 - 24*p - 627/8*p**3 = 0.
-2, -3/11, 2/19
Let o(l) be the second derivative of -l**4/6 + l**3 - 284*l. Factor o(h).
-2*h*(h - 3)
Factor 36/7 - 48/7*d + 3/7*d**3 + 9/7*d**2.
3*(d - 2)*(d - 1)*(d + 6)/7
Find g, given that 32*g - 240 + 4/3*g**2 = 0.
-30, 6
Let s(u) be the first derivative of 2*u**3/33 - 325*u**2/11 + 1292*u/11 - 5261. Factor s(k).
2*(k - 323)*(k - 2)/11
Factor -47*b**4 - 95*b**4 - 2*b**5 - 5832*b**3 - 74*b**4.
-2*b**3*(b + 54)**2
Let h(w) be the second derivative of -w**4/48 - 115*w**3/24 + 117*w**2/4 - 2520*w. Determine g, given that h(g) = 0.
-117, 2
Let p(n) be the third derivative of 2/135*n**5 - 2/9*n**3 + 0*n - 163*n**2 + 2/135*n**6 + 0 - 2/27*n**4 + 2/945*n**7. Let p(c) = 0. What is c?
-3, -1, 1
Find i, given that 4*i**4 + 6*i**2 - 36*i**3 - 31*i**3 - 33*i**3 + 276*i + 166*i**2 = 0.
-1, 0, 3, 23
Let f(l) = -l**3 - 8*l**2 + l + 4. Let w = -264 - -261. Let d(b) = 9*b**2 - 3. Let g(n) = w*f(n) - 2*d(n). Factor g(r).
3*(r - 1)*(r + 1)*(r + 2)
Solv