*u**3.
(u - 5)*(u + 2)*(9*u + 2)/2
Suppose z + 4*z + f = 87, -5*z + 476*f - 478*f = -114. Suppose 0 = -0*w + 4*w - 16, -26 = -5*v - 4*w. Find n, given that -32/5 - 4/5*n**3 + z*n - 24/5*n**v = 0.
-8, 1
Let h be (30/20)/(9/30). Let t be h - (-4 - (-2 + -1))*-1. Solve -380/3*v**t + 112*v**5 - 52/3*v**3 + 0 + 80/3*v**2 + 16/3*v = 0.
-2/7, -1/4, 0, 2/3, 1
Let w(v) = 290*v**2 - 12610*v - 245310. Let k(m) = 3*m**2 - 130*m - 2529. Let q(r) = -195*k(r) + 2*w(r). Factor q(a).
-5*(a - 39)*(a + 13)
Let j = -10607 - -21217/2. Let l(t) be the first derivative of -30 + 12*t**2 + j*t**4 - 8*t - 22/3*t**3. Solve l(g) = 0.
2/3, 1, 2
Let j(o) be the second derivative of -7*o**5/60 + 2959*o**4/36 + 6401*o**3/9 + 1708*o**2/3 - 1104*o - 1. Factor j(q).
-(q - 427)*(q + 4)*(7*q + 2)/3
Let h(u) be the first derivative of 2*u**5/25 + 2*u**4/5 - 22*u**3/15 + 6*u**2/5 - 906. Determine p so that h(p) = 0.
-6, 0, 1
Factor 18*b - 104/3 - 1/3*b**2.
-(b - 52)*(b - 2)/3
Let t = 413 + -409. Suppose 17*p = t + 30. Determine c so that 6/5*c**p + 0 + 4/5*c + 2/5*c**3 = 0.
-2, -1, 0
Let p = 32 - 27. Let y be (-2220)/(-14800)*10/2. Factor -9/2 - p*n**2 + 39/4*n + y*n**3.
(n - 3)**2*(3*n - 2)/4
Let l be (63/(-49) - -1)*(-165)/(-110) + 3090/7. Factor 1/4*k**3 + 21*k**2 + 0 + l*k.
k*(k + 42)**2/4
Factor -1/5*f**3 - 236883/5*f + 843/5*f**2 + 22188041/5.
-(f - 281)**3/5
Let i(k) be the first derivative of k**6/5 - 18*k**5/25 + 3*k**4/5 - 555. Determine p so that i(p) = 0.
0, 1, 2
Suppose 2158 = 7*c - 1895. Let o = -575 + c. Factor 0 + 0*n - 1/3*n**2 + 1/2*n**3 - 1/6*n**o.
-n**2*(n - 2)*(n - 1)/6
Factor -l**4 + 112*l + 5*l**4 + 400*l + 210*l**3 + 14*l**4 + 704*l**2.
2*l*(l + 1)*(3*l + 16)**2
Let u be 18/(-60)*124/(-372). Let o(v) be the first derivative of -1/20*v**2 + 15 - 7/10*v**3 + 9/8*v**4 + u*v. Determine f, given that o(f) = 0.
-1/5, 1/3
Determine f, given that -84*f + 2*f**2 + 2*f**2 - 85*f - 31*f + 900 = 0.
5, 45
Factor -1560 - 777*m + 3/2*m**2.
3*(m - 520)*(m + 2)/2
Let f(h) be the first derivative of 1/3*h**3 - 1/8*h**2 + 1/16*h**4 + 114 - h. Find p such that f(p) = 0.
-4, -1, 1
Let r(g) be the third derivative of -g**8/84 - 92*g**7/105 - 149*g**6/6 - 5164*g**5/15 - 8024*g**4/3 - 36992*g**3/3 + 500*g**2. Factor r(n).
-4*(n + 4)**3*(n + 17)**2
Suppose -1 = -q, -s + 5*s + 4*q = -1188. Let k = 1491/5 + s. Factor k*g**2 - 1/10*g**4 + 0 + 0*g - 1/10*g**3.
-g**2*(g - 1)*(g + 2)/10
Suppose -2*p + 68 = -2*f, -2*p = -3*f - 3*p - 90. Let v = 33 + f. Factor v*h**3 + 4 - h - h**2 + 1 - h**3 - 4.
(h - 1)**2*(h + 1)
Suppose 738*p + 900 = 732*p. Let v be 4/(-22)*(139 + p). Determine u so that -2/3*u**v + 10/3 + 8/3*u = 0.
-1, 5
Let j(f) be the first derivative of 23*f**3 + 3/2*f - 15 + 12*f**2 - 54*f**4 + 243/10*f**5. Let j(u) = 0. What is u?
-1/9, 1
Factor -553*t**2 - 4*t**3 - 18496 - 1810*t - 434*t + 3*t**3 + 469*t**2.
-(t + 16)*(t + 34)**2
Let b be (-695 + -7)/54 - (1 - 426/27). Determine m, given that -4/3*m**2 + 0 + 2/9*m**4 - 2/3*m**3 + b*m = 0.
-2, 0, 1, 4
Let j be (1185/7900)/(2/10). Factor j*s - 5/4*s**2 + 1/4*s**4 - 3/4*s**3 + 1.
(s - 4)*(s - 1)*(s + 1)**2/4
Suppose -252 = -k + 7*k. Let w be k/35*((-5)/2 - 0). Suppose -3/2*f**2 - 1/2*f**w + 3/2 + 1/2*f = 0. What is f?
-3, -1, 1
Factor 2/3*u**2 + 6*u + 0.
2*u*(u + 9)/3
Suppose 5*u + 2*d = 201 + 209, -d = 5*u - 410. Factor -u + 48*c**4 + 24*c**3 - 96*c - 85 + 155 - 189*c**2.
3*(c - 2)*(c + 2)*(4*c + 1)**2
Let r(z) = -3*z**4 - 5*z**3 - z**2 + z - 2. Let t(n) = -14*n**4 + 12*n**3 + 386*n**2 + 872*n - 10. Let f(k) = -5*r(k) + t(k). Factor f(i).
i*(i + 3)*(i + 17)**2
Let t = 2858 + -2856. Let v(x) be the third derivative of 0 + x**t - 1/21*x**4 + 1/7*x**3 + 0*x + 1/210*x**5. Factor v(g).
2*(g - 3)*(g - 1)/7
Let t(j) be the second derivative of -j**6/30 - 91*j**5/20 + 31*j**4/4 + 91*j**3/6 - 46*j**2 - 3252*j. Determine y so that t(y) = 0.
-92, -1, 1
Let y(c) be the first derivative of 2*c**5/105 + c**4/84 - c**3/7 + 8*c**2 + 2*c + 109. Let h(z) be the second derivative of y(z). Solve h(d) = 0.
-1, 3/4
Let j(z) be the second derivative of z**5/80 - 37*z**4/48 + 83*z**3/12 - 24*z**2 - 1386*z. Factor j(r).
(r - 32)*(r - 3)*(r - 2)/4
Let l = -2345 - -2352. Let o(s) be the second derivative of 0 + 3/10*s**6 - 1/2*s**4 - 3/10*s**5 - 1/14*s**l - 28*s - 3/2*s**2 + 3/2*s**3. Factor o(q).
-3*(q - 1)**4*(q + 1)
Let n(l) be the second derivative of l**5/80 + 7*l**4/6 - 635*l**3/24 + 825*l**2/4 + l + 1567. Let n(o) = 0. Calculate o.
-66, 5
Let x(q) be the second derivative of q**10/211680 - q**8/23520 + q**6/5040 + 22*q**4/3 + 2*q - 10. Let m(o) be the third derivative of x(o). Solve m(h) = 0.
-1, 0, 1
Let t(x) = 13*x**2 + 311*x + 432. Let q(h) = 2*h**2 + 15*h - 1. Let f(z) = -6*q(z) + t(z). Factor f(o).
(o + 2)*(o + 219)
Let g(w) be the third derivative of w**9/52920 + w**8/23520 - w**7/1470 - w**4/12 - 5*w**3/2 + 66*w**2. Let j(x) be the second derivative of g(x). Factor j(y).
2*y**2*(y - 2)*(y + 3)/7
Let c(r) be the first derivative of 2*r**3/15 + 966*r**2/5 + 386*r + 8070. What is d in c(d) = 0?
-965, -1
Let j be (78/(-4) + 207 + -197 - -13)*24/10. Solve -158/5*d + 48/5 + j*d**2 = 0.
1/3, 24/7
Let l(p) be the second derivative of 121*p**6/255 - 5346*p**5/85 + 119066*p**4/51 - 28512*p**3/17 + 7744*p**2/17 + 2*p - 3462. Factor l(v).
2*(v - 44)**2*(11*v - 2)**2/17
Let x(v) be the first derivative of -35 - 23/2*v**4 - 41/2*v**2 - 1/6*v**6 - 10*v - 14/5*v**5 - 64/3*v**3. Factor x(l).
-(l + 1)**4*(l + 10)
Let c be (-1)/((-44)/8 - -5). Factor -3*j**2 - 6*j**c - 18*j - 3*j**3 - 2*j**2 - 4*j**2.
-3*j*(j + 2)*(j + 3)
Let u(z) = z**2 - 59*z - 2910. Let f be u(-32). Find y, given that -96*y - 68/5 - 861/5*y**f - 49/5*y**3 = 0.
-17, -2/7
Find p such that 2/7*p**3 + 2894/7*p**2 + 1048350/7*p + 1045458/7 = 0.
-723, -1
Let w = -542464 - -542466. Factor -2/13*t**w - 4/13 - 6/13*t.
-2*(t + 1)*(t + 2)/13
Let q be (-26)/65 - 88/(-20). Determine w so that 63*w + 25*w + 36*w - 64*w - 60*w**3 + 3*w**q - 8*w**4 + 5*w**2 = 0.
-12, -1, 0, 1
Let y(j) be the second derivative of -j**4/12 - j**3/3 + j**2/2 - 42*j. Let x(a) = 5*a**2 + 30*a + 5. Let u(t) = -x(t) - 10*y(t). Factor u(p).
5*(p - 3)*(p + 1)
Let b = -46906 + 46908. Factor k**2 + 1/2*k**4 - 2*k**3 + b*k - 3/2.
(k - 3)*(k - 1)**2*(k + 1)/2
Suppose x + 3*x = 5*j - 12, -4*j + 18 = x. Let g be x + -1 + 9/3. Factor -21*h**3 - 3*h**g + 9*h**5 + 21*h**2 - 4*h - 3*h**5 + 7*h - 6.
3*(h - 1)**3*(h + 2)*(2*h + 1)
Let m = 69103 + -69101. What is c in 0*c + 0 - 2/9*c**5 + m*c**4 - 10/3*c**3 + 14/9*c**2 = 0?
0, 1, 7
Factor 440/3*l**3 - 145640/3*l + 219122/9 + 2/9*l**4 + 216476/9*l**2.
2*(l - 1)**2*(l + 331)**2/9
Suppose 24 = 4*o + 3*g, 4*g = 5*o + 5*g - 41. Suppose -o*f - 11*f + 13*f**4 + 8*f + 12*f**3 - 3*f**2 - 10*f**4 = 0. Calculate f.
-4, -1, 0, 1
Let b be (0 - (1 + -48)) + 2. Let t = b - 46. Factor -i**4 - i**3 + 0*i**3 + 4*i**3 - t*i**2 + i.
-i*(i - 1)**3
Suppose 2*n - 3*r - 6 = 0, 0*n + 4*n + 2*r - 12 = 0. Let q be 60/18 - (-2)/n. Factor -q*h + 11*h**3 - 34*h**3 + 11*h**3 + 4*h**4 + 12*h**2.
4*h*(h - 1)**3
Let q = 5918/3 - 7771/6. Let k = q - 675. Factor 5/4*o**2 - k - 5/4*o.
5*(o - 2)*(o + 1)/4
Let u(p) be the second derivative of -1/8*p**2 + 1/48*p**4 - 135*p - 1/16*p**5 + 5/24*p**3 + 0. Solve u(h) = 0 for h.
-1, 1/5, 1
Let f(l) = 2*l**5 + l**3 - l**2 - l - 1. Let n(t) = -12*t**5 + 27*t**4 + 34*t**3 - 146*t**2 + 92*t + 5. Let s(p) = 5*f(p) + n(p). Find u such that s(u) = 0.
-3, 0, 1, 29/2
Suppose 10*z - 135 = -35. Suppose 0 = -2*m - 101 + 105, 2*v = -3*m + z. Solve 2/13 + 0*c + 2/13*c**4 - 4/13*c**v + 0*c**3 = 0.
-1, 1
Let h(v) = -15*v**2 + 10215*v + 2913. Let t(x) = 17*x**2 - 10203*x - 2912. Let l(n) = -2*h(n) - 3*t(n). Solve l(y) = 0.
-2/7, 485
Let o = 188759 - 188755. Find f, given that -1/5*f**o + 4/5*f**3 + 27/5 + 6/5*f**2 - 36/5*f = 0.
-3, 1, 3
Factor 60*w + w**4 + 143*w**2 - 304*w**2 - 11*w**3 + 165*w**2.
w*(w - 10)*(w - 3)*(w + 2)
Suppose 2*c + 5 = -4*s + 5*s, 0 = -3*c - 3. Factor -1025*g**3 + 80 + 1021*g**s + 36*g**2 - 9*g - 87*g.
-4*(g - 5)*(g - 2)**2
Let d be (-27)/(110 - 29)*(-1 - -4)*-3. Factor -2/7*x**4 + 2*x**2 - 8/7*x**d + 0 + 20/7*x.
-2*x*(x - 2)*(x + 1)*(x + 5)/7
Let h be -5 - 0 - (3 - (-3 - -6)). Let q be (116/(-20) + 5)*h. Factor -62*p - 125*p**2 + q - 38*p - 24.
-5*(5*p + 2)**2
Let b(h) be the th