t - 4*t**2 + f + 57.
-4*(t - 1)*(t + 21)
Let h(y) be the first derivative of -2/3*y**2 + 10/3*y + 2/45*y**3 + 56. Factor h(r).
2*(r - 5)**2/15
Let k(l) = 5*l**2 + 66*l - 32. Let w be k(-13). Let o be ((-1)/w)/(20/(-2160)*-18). Factor 2/3*c**3 + 0 - 2/15*c**5 + 0*c + 2/5*c**2 + o*c**4.
-2*c**2*(c - 3)*(c + 1)**2/15
Let b be (2 - -1)/((135/20)/9). Suppose -3*q**5 - 2*q**4 + 0*q**3 - 23*q**4 + 30*q**2 + 3*q**3 - 5*q**b = 0. Calculate q.
-10, -1, 0, 1
Let q(c) be the third derivative of c**8/112 + 17*c**7/70 + 21*c**6/20 - 13*c**5 + 25*c**4 - 14*c**2 + c + 62. Determine m, given that q(m) = 0.
-10, 0, 1, 2
Suppose -8*k + 3*k + 140 = -3*s, 2*k = 5*s + 265. Let g = -51 - s. Factor 0*b - 2*b**2 - 4*b**5 + 1 + 5*b**5 - b**g + b - 2*b**3 + 2*b**4.
(b - 1)**2*(b + 1)**3
Factor 23*y**2 - 30*y**3 - 8*y**4 + 17*y**2 + 8*y**2 + 11*y**4.
3*y**2*(y - 8)*(y - 2)
Let r(g) = g - 3. Let k be r(6). Let i be 40/50*(262/16 + -7) + -6. Factor 3/4*u**4 + 3/2*u - i*u**k - 3/4 + 0*u**2.
3*(u - 1)**3*(u + 1)/4
Let n(v) = 4*v**4 - 16*v**3 - 6*v**2 - 2*v + 2. Let z(i) = -i**4 + i**3 + 2*i + 1. Let f(o) = -n(o) - 6*z(o). Let f(c) = 0. Calculate c.
-4, -1, 1
Let g(j) = -453*j**2 - 1065*j - 711. Let d(t) = -t**3 + 483*t**2 + 1064*t + 712. Let l(s) = 3*d(s) + 4*g(s). Find w such that l(w) = 0.
-118, -2, -1
Let g(r) be the third derivative of -1/36*r**4 + 2/9*r**3 + 1/180*r**6 + 0 + 0*r + r**2 - 1/30*r**5 + 1/315*r**7. Factor g(z).
2*(z - 1)**2*(z + 1)*(z + 2)/3
Let x(c) be the first derivative of -11*c**3/12 - 261*c**2 + 95*c + 5276. Suppose x(k) = 0. What is k?
-190, 2/11
Let q be ((-50)/(-5))/(4 - (-36)/(-10)). Factor -7*z**2 - q*z**3 + 5*z**4 - 33*z**2 - 20*z**3 + 55*z**3.
5*z**2*(z - 2)*(z + 4)
Let u = -35272/3 - -11759. Let t(p) be the second derivative of -5/42*p**7 - 10*p + 0 + u*p**3 + 0*p**2 + 3/4*p**5 - 1/6*p**6 + 25/12*p**4. Factor t(g).
-5*g*(g - 2)*(g + 1)**3
Determine v so that 135/2 + 1980*v**2 - 196*v**4 + 2673/4*v + 7021/4*v**3 = 0.
-3/7, -3/16, 10
Let p(j) be the third derivative of -160/3*j**3 + 4*j**4 + 27 + 0*j - j**2 - 1/30*j**6 + 1/5*j**5. Solve p(a) = 0 for a.
-5, 4
Let d be -1*115/300 - 9/(-18). Let x(u) be the second derivative of 37/30*u**3 - 5*u + d*u**4 + u**2 + 0. Suppose x(i) = 0. Calculate i.
-5, -2/7
Suppose -261*q = -257*q - 584. Let c = 733/5 - q. Determine i, given that -27/5 + c*i**2 + 24/5*i = 0.
-9, 1
Determine h so that 1276*h - 2267*h + 1199*h - 96 + 14*h**2 + 906*h**2 + 396*h**3 = 0.
-2, -6/11, 2/9
Let r(t) be the first derivative of 0*t + 1/3*t**4 - 1/15*t**5 + 1/9*t**3 - 2/3*t**2 - 143. Factor r(k).
-k*(k - 4)*(k - 1)*(k + 1)/3
Let j be (-24)/15*(-10)/4. Let m(r) = -9*r + 2. Let w be m(0). Let -4 + 9 + 4*g**j + g**4 - 3*g**w - 7*g**2 = 0. Calculate g.
-1, 1
Let p = 2457 + -2456. Let w(h) be the first derivative of 28/5*h**2 - 2/3*h**3 + 24/5*h - p. Suppose w(v) = 0. Calculate v.
-2/5, 6
Let y(b) = b**3 + 9*b**2 + 2*b + 27. Let v be y(-7). Let k be 8/(8/v) - 3. Factor 0*x**4 + 3*x**4 - 20*x**3 + 21*x**3 + k*x**2 - 162*x + 81 - 31*x**3.
3*(x - 3)**3*(x - 1)
Let d(a) be the third derivative of a**8/23520 + 43*a**7/8820 + 41*a**4/6 - 4*a**2 - 2. Let m(y) be the second derivative of d(y). Factor m(l).
2*l**2*(l + 43)/7
Let j = 39 + -37. Factor 12*p + p**4 + 5*p**2 - 3*p**2 + 4 + 6*p**3 + 11*p**j.
(p + 1)**2*(p + 2)**2
Let t = 334705841/480485 - -2/96097. Let f = -696 + t. Factor 3/5*y - 9/5 - f*y**3 + 9/5*y**2.
-3*(y - 3)*(y - 1)*(y + 1)/5
Let o = 132 - 124. Factor 3*n**2 + 41*n**5 + 37*n**2 + 16*n - 45*n**5 + 4*n**3 - 16*n**4 - o*n**3 - 32.
-4*(n - 1)**2*(n + 2)**3
Let g be (-3 + 19)*(4 + 3). Let b = 115 - g. Determine x so that -9*x - 5*x**2 + 3*x - x**b + x**4 + 3*x = 0.
-1, 0, 3
Let i(l) be the first derivative of -l**6/24 - 51*l**5/20 - 49*l**4/8 + l**3/6 + 99*l**2/8 + 49*l/4 + 933. Factor i(g).
-(g - 1)*(g + 1)**3*(g + 49)/4
Suppose 0 = 3*y - 6, 15*i - 11*i - y = -1266. Let o = i - -318. Factor -32/7 + 4*t + 4/7*t**o.
4*(t - 1)*(t + 8)/7
Let c(p) be the first derivative of -2*p**6/3 + 8*p**5/5 + 26*p**4 - 162*p**2 + 216*p - 144. What is l in c(l) = 0?
-3, 1, 6
Let t(w) = -27*w**4 + 51*w**3 - 33*w**2 - 3*w + 15. Let m(o) = -o**5 - o**4 - o**2 - o + 5. Let d(l) = 3*m(l) - t(l). Solve d(q) = 0 for q.
0, 1, 2, 5
Let r = 466 - 410. Find u such that -78*u + 19*u**2 + 53*u + r*u**4 + 27*u + 57*u**3 + 16*u**5 = 0.
-2, -1, -1/4, 0
Let 450*u**4 - 3842 + 7674 - 6068*u**3 - 3592*u**3 - 5*u**5 - 21160*u**2 - 3832 = 0. What is u?
-2, 0, 46
Let l(t) be the third derivative of t**8/1848 + 4*t**7/165 - 103*t**6/220 + 436*t**5/165 - 148*t**4/33 + 7171*t**2. Solve l(v) = 0.
-37, 0, 1, 4
Suppose 96*l + 40 = 104*l. Suppose 4*z - 3*w = 3, 3*z - l*w - 5 = 7*z. Let -4/15*s**2 - 6/5*s**3 + z*s + 0 = 0. What is s?
-2/9, 0
Let f(a) be the second derivative of -a**6/15 - a**5/10 + 5*a**4/3 + 4*a**3/3 - 24*a**2 + 214*a + 7. Suppose f(n) = 0. Calculate n.
-3, -2, 2
Let n(k) be the first derivative of -8*k**5/5 + 25*k**4 - 356*k**3/3 + 150*k**2 + 252*k - 1443. Find c, given that n(c) = 0.
-1/2, 3, 7
Let r(f) = 5*f**3 + 64*f**2 + 59*f - 22. Let m(p) = -3*p**3 - 42*p**2 - 39*p + 14. Let a(w) = 11*m(w) + 7*r(w). Factor a(o).
2*o*(o - 8)*(o + 1)
Let g(u) be the first derivative of 2/3*u**2 + 16 + 1/6*u**4 + 0*u + 2/3*u**3. Factor g(y).
2*y*(y + 1)*(y + 2)/3
Factor 2556*m**2 + 4687*m - 18585920 - 23967*m - 2561*m**2.
-5*(m + 1928)**2
Let d(x) be the first derivative of -x**4/2 + 548*x**3/3 + 275*x**2 - 48. Find q, given that d(q) = 0.
-1, 0, 275
Let h(a) be the first derivative of a**5/50 - 4*a**4/15 - 4*a**3/3 - 111*a + 15. Let t(g) be the first derivative of h(g). Solve t(m) = 0.
-2, 0, 10
Let q = -88 - -84. Let s(l) = -l**2 - 15*l - 29. Let x be s(q). Factor 0 - 5*v**2 - 6*v - 14*v - x + 0*v.
-5*(v + 1)*(v + 3)
Let x be 6*(-18)/27 + (-1 - -7). Let m be (-32)/80*x/((-28)/30). Factor 2/7*i**5 - 2*i - m + 12/7*i**3 + 10/7*i**4 - 4/7*i**2.
2*(i - 1)*(i + 1)**3*(i + 3)/7
Let d(n) be the third derivative of -38*n**2 + 0*n + 1/18*n**5 - 1/180*n**6 + 0*n**3 + 0*n**4 + 0. Suppose d(z) = 0. What is z?
0, 5
Let 505/2*y**2 + 245*y - 500 + 5/2*y**3 = 0. What is y?
-100, -2, 1
Solve 0 - 64/3*g**3 + 1407/2*g**2 + 1/6*g**4 - 1323*g = 0 for g.
0, 2, 63
Let d(w) = 25*w**2 - 1822*w + 837225. Let l(q) = -69*q**2 + 5468*q - 2511675. Let a(f) = -11*d(f) - 4*l(f). Factor a(o).
(o - 915)**2
Suppose 4*v - 3 = 3*y, -v + 15 = 2*v + 2*y. Suppose -3*t + 517 - 10*t**2 + 2*t**5 - 517 + 2*t**4 - t - 6*t**v = 0. What is t?
-1, 0, 2
Let w be (-30)/(-60)*(-2 - 2)*-2. Factor -14*a**w - 11*a**3 - 16*a - 2*a**5 + 8*a - 8*a**3 - 11*a**3 - 26*a**2.
-2*a*(a + 1)**3*(a + 4)
Let v(l) = l**2 + 86*l - 3. Let h(x) = 784*x - 36. Let k(w) = -87*w + 4. Let y(r) = 3*h(r) + 28*k(r). Let m(c) = -4*v(c) - 3*y(c). Solve m(f) = 0 for f.
-23, 0
Let z(r) be the second derivative of r**4/24 - 99*r**3/4 + 295*r**2/2 + 129*r. What is l in z(l) = 0?
2, 295
Factor 439/5*p**2 - 2/5*p**3 + 44*p + 0.
-p*(p - 220)*(2*p + 1)/5
Let b = -123 - -135. Factor 401*m**2 - 201*m**2 - 196*m**2 + b*m.
4*m*(m + 3)
Let o(p) = -3*p**2 + 153*p - 264. Let x(v) = -3*v**2 + 156*v - 264. Let m(r) = -6*o(r) + 5*x(r). Solve m(s) = 0.
2, 44
Suppose 34 = 7*n + 13. Factor -67*c**3 + 119*c**n - 57*c**3 + 30 - 65*c + 40*c**2.
-5*(c - 6)*(c - 1)**2
Let h = -482 + 462. Let b be -2 - -2 - (-8 - 130/h). Factor 0 - t + t**3 + b*t**4 - 3/2*t**2.
t*(t - 1)*(t + 1)*(3*t + 2)/2
Let o(b) be the second derivative of 12 - 5*b**2 - 2*b - 5/12*b**4 - 5/2*b**3. Factor o(k).
-5*(k + 1)*(k + 2)
Let u(o) be the second derivative of 1/36*o**3 + 10*o - 1/120*o**5 - 1/36*o**4 + 1/6*o**2 + 2. Suppose u(i) = 0. Calculate i.
-2, -1, 1
Let r(p) be the second derivative of 0*p**2 + 0*p**3 - 3/40*p**5 + 25 + 4*p - 1/8*p**4. Factor r(k).
-3*k**2*(k + 1)/2
Let v(i) = 4*i**3 - 96*i**2 - 14*i + 101. Let q be (-4)/14 + (13 - (-1152)/(-84)). Let l(w) = 2*w - 1. Let z(n) = q*v(n) - 5*l(n). Determine c so that z(c) = 0.
-1, 1, 24
Let m(d) = 7*d**3 - 20*d**2 + 39*d - 18. Suppose -40 = -6*w - 16. Let u(n) = -20*n**3 + 61*n**2 - 117*n + 54. Let l(r) = w*u(r) + 11*m(r). Factor l(j).
-3*(j - 6)*(j - 1)**2
Let o(r) be the first derivative of 5*r**6/36 - 5*r**5/3 + 95*r**4/12 - 170*r**3/9 + 95*r**2/4 - 15*r - 1191. Let o(t) = 0. What is t?
1, 2, 3
Let q(r) = 35*r**2 + 2910*r - 1750. Let j(h)