(h + 1)/9
Let u be (-14)/(-2)*((-108)/21 + 6). Let s = -17/3 + u. Let -2/3*r - 1/3*r**2 - s = 0. Calculate r.
-1
Let y be -8*4/(-6)*(-3)/(-4). Suppose 0 = 5*o - 0*o - q - 29, o = 2*q + y. Factor -1 + 0*n**2 - 10*n**2 + 4*n + o*n**3 + 1.
2*n*(n - 1)*(3*n - 2)
Let y(b) = b**3 + 14*b**2 + 10. Let q be y(-14). Find i such that q*i - 3*i**3 - 47*i**2 - 2*i**3 + 52*i**2 = 0.
-1, 0, 2
Let m be 15 - (21 - 903/105). Factor m*d**2 - 49/10*d - 1/10*d**3 + 12/5.
-(d - 24)*(d - 1)**2/10
Let d(p) be the first derivative of -1/2*p**2 - 1/3*p**3 + 2 + 2*p. Factor d(x).
-(x - 1)*(x + 2)
Let h be (-330)/60*252/(-308). Factor h*v + 3 + 3/2*v**2.
3*(v + 1)*(v + 2)/2
Let l(p) = -376*p - 356. Let x be l(-1). Let s(n) be the first derivative of 3/2*n**2 + 0*n + n**3 - x. Suppose s(y) = 0. Calculate y.
-1, 0
Suppose -2*n = -5*c + 118, -5*c + 0*n + 124 = 4*n. Suppose 0 = -6*r + 6 + c. Determine t so that 11*t**2 + 15 + r*t**2 + 35*t + 5 + 49*t = 0.
-5, -1/4
Let j = -58 - -56. Let b be 3/j + 258/12. Factor -b*m**4 + 15*m**2 + 18*m**2 + 16*m**2 - 2*m**5 - 65*m**2 - 34*m**3.
-2*m**2*(m + 1)**2*(m + 8)
Let n(c) be the second derivative of c**5 + 3685*c**4/12 + 460*c**3/3 + 1078*c. Suppose n(h) = 0. Calculate h.
-184, -1/4, 0
Suppose -c - 6*k = -4*k + 1, 2*k = -8. Suppose -25 - c = -8*s. Solve -l**s + l - l + 4*l**4 + l**2 - 3*l**3 - l**5 = 0.
0, 1
What is k in -1659*k - 30*k**4 - 2065/2*k**2 - 1137/4*k**3 - 1/4*k**5 - 990 = 0?
-110, -3, -2
Let t = 458596 - 458551. Solve 12*u + 4/5*u**2 + t = 0 for u.
-15/2
Suppose x = 5*l + 16, 3*l + 1886*x = 1888*x - 32. Determine p, given that 54/11*p - 2/11*p**2 + l = 0.
0, 27
Let a(v) be the second derivative of -16/7*v**2 - 5/7*v**5 - 8/3*v**3 - 16/105*v**6 - 2/147*v**7 + 207*v + 0 - 38/21*v**4. Factor a(l).
-4*(l + 1)**2*(l + 2)**3/7
Let m(r) = -r**2. Let v(p) = -7*p**2 + 100*p + 105. Let d = -53 + 55. Let a(n) = d*m(n) - v(n). Let a(i) = 0. What is i?
-1, 21
Suppose 12 = -4*v, 4*k - 3*v = k + 18. Suppose 0 = k*z + 3*b + 9, 3*z - b = -3*b - 4. Solve -3*u - 12/5*u**z - 3/5*u**3 - 6/5 = 0 for u.
-2, -1
Let m(y) be the first derivative of -y**5/35 + 6*y**4/7 - 22*y**3/7 + 32*y**2/7 + 33*y - 24. Let b(k) be the first derivative of m(k). Factor b(g).
-4*(g - 16)*(g - 1)**2/7
Suppose 5*w - 17 = -r, -11*r = -16*r + 4*w - 2. Solve -2*a**2 - 3*a**2 - 590 + 606 + 2*a**2 + r*a = 0 for a.
-2, 8/3
Suppose -20*u = -17*u - 15. Suppose l + 5*l**2 - 4*l + 4 - l**2 - u*l = 0. Calculate l.
1
Let h = 55 - 82. Let z = h + 29. Find n, given that -1 + 1 + 5*n**z - 4 - 1 = 0.
-1, 1
Let q(g) be the first derivative of 34 + 15*g**3 + 5/4*g**4 - 120*g**2 + 260*g. Determine k, given that q(k) = 0.
-13, 2
Suppose -2*v + 12 = 2. Suppose -3 = -4*o - 3*a - 1, v*o - a - 12 = 0. Let -6*s**o + 7*s**4 - s**5 - 6*s**4 + 5*s**2 + s**3 = 0. Calculate s.
-1, 0, 1
Let d(m) be the second derivative of 8/3*m**4 + 1/10*m**5 + 0 + 0*m**2 - 17/3*m**3 - 270*m. Factor d(v).
2*v*(v - 1)*(v + 17)
Let 2/13*m**3 + 54/13*m + 24/13*m**2 - 80/13 = 0. Calculate m.
-8, -5, 1
Suppose -13*l = -56 - 35. What is o in 77*o**2 + 598*o**2 + 190*o - l*o**3 - 4*o**3 + 46*o**3 = 0?
-19, -2/7, 0
Let u(p) be the second derivative of 47/2*p**3 - 12*p - 21*p**2 + 27/20*p**5 + 0 + 35/2*p**4. Factor u(n).
3*(n + 1)*(n + 7)*(9*n - 2)
Let y(g) be the first derivative of -g**3 - 163*g**2/2 + 516*g + 2194. Find j such that y(j) = 0.
-172/3, 3
Let g(z) be the third derivative of -z**6/280 + 46*z**5/35 - 365*z**4/56 + 13*z**3 - 636*z**2. Factor g(d).
-3*(d - 182)*(d - 1)**2/7
Factor -39/2*w - 33/2*w**3 + 75/2*w**2 + 0 - 3/2*w**4.
-3*w*(w - 1)**2*(w + 13)/2
Let t = 2929029/12598 - -3/6299. Let d = -232 + t. Factor 0*q - d*q**2 + 1/2*q**3 + 0.
q**2*(q - 1)/2
Suppose -6*m = -4*m - 24. Find k, given that -15 + 26*k + m*k**4 - 8*k - 2*k**5 + 9*k**2 - 13*k**2 + 7 - 16*k**3 = 0.
-1, 1, 4
Solve -96 - 208*m + 2*m**4 - 592*m**2 - 380*m + 140*m**3 + 686 + 448*m**3 = 0.
-295, -1, 1
Let f(l) = 10*l**3 + 5*l**2 - 5*l - 5. Suppose 0*u + 25 = 5*u. Let y(k) = k**4 - k**3 - k**2 + k + 1. Let o(m) = u*y(m) + f(m). Factor o(x).
5*x**3*(x + 1)
Suppose 5*h = -2*z + 26, 2*h - 6*h - 3*z + 25 = 0. Suppose -9*o + h*o = -60. Factor -8*u**2 + u**3 + 16*u - 5*u**3 - o*u + 8*u**4.
4*u*(u - 1)*(u + 1)*(2*u - 1)
Let r(y) = 8*y**2 + 23630*y + 34904464. Let t(q) = 2*q**2 - q. Let j(o) = r(o) - 2*t(o). Factor j(x).
4*(x + 2954)**2
Let v(a) = -2*a**2 - 1. Let m(c) = 13*c**2 - 66*c + 564. Let f(t) = m(t) + 6*v(t). Let b(d) = -2*d - 2. Let l(j) = 18*b(j) - 2*f(j). Factor l(o).
-2*(o - 24)**2
Let i(t) = 16*t**2 - 42*t + 20. Let v = 410 + -404. Let q(o) = -5*o**2 + 14*o - 6. Let a(r) = v*i(r) + 20*q(r). Solve a(w) = 0 for w.
0, 7
Find w, given that -76/9*w**2 - 28/3 - 164/9*w + 4/9*w**3 = 0.
-1, 21
Suppose -1318 + 1288 = -15*h. Suppose -10 = h*o - 14. Determine y, given that 3/2*y**o + 9/2 + 3/2*y**3 - 15/2*y = 0.
-3, 1
Let j(o) = -o. Let g(q) = -7*q**2 - 9*q - 22. Let m(n) = 8*n**2 + 9*n + 24. Let i(k) = -7*g(k) - 6*m(k). Let s(l) = -i(l) - 2*j(l). Factor s(f).
-(f + 2)*(f + 5)
Let j(b) = 21*b**3 + 123*b**2 + 102*b + 18. Let k(h) = 126*h**3 + 740*h**2 + 610*h + 107. Let r(m) = 37*j(m) - 6*k(m). Factor r(o).
3*(o + 1)*(o + 4)*(7*o + 2)
Let p be (2/8 + (1558/(-24))/41)*(-204)/2312. Suppose -p*k**2 - 22/17*k + 52/17 = 0. Calculate k.
-13, 2
Let z(s) = -5*s**2 + 249*s - 480. Let g(d) = -15*d**2 + 749*d - 1445. Let y(u) = 2*g(u) - 7*z(u). Factor y(p).
5*(p - 47)*(p - 2)
Suppose g - 6 = 9. Let r be g + -4 + -1 - 1. Let -r*w**3 + 12*w + 18*w**4 - 10*w**4 - 5*w**4 = 0. Calculate w.
-1, 0, 2
Let n(h) be the second derivative of -h**10/6048 + 5*h**9/1512 - 25*h**8/1344 - 3*h**4 - 15*h - 2. Let t(l) be the third derivative of n(l). Factor t(g).
-5*g**3*(g - 5)**2
Let s(i) be the third derivative of 0*i + 2*i**2 - 22 + 3/44*i**4 + 0*i**3 - 1/660*i**6 + 4/165*i**5. Suppose s(y) = 0. What is y?
-1, 0, 9
Let b be 3/(-3) + (10 - 8) + -11. Let x be b/105 - 1353/(-315). Let 3*l**4 + 6/5*l + 0 + x*l**2 + 27/5*l**3 + 3/5*l**5 = 0. What is l?
-2, -1, 0
Let i(t) be the second derivative of t**4/30 + 201*t**3/5 + 1202*t**2/5 + 5103*t. Find n, given that i(n) = 0.
-601, -2
Suppose 0 = -6*t - 5 + 107. Factor 4*z**2 + t*z**3 - 27*z**3 - 12*z**2 + 14*z**3.
4*z**2*(z - 2)
Let a(z) be the first derivative of z**4/22 + 190*z**3/33 - 96*z**2/11 + 2798. Factor a(r).
2*r*(r - 1)*(r + 96)/11
Determine b so that 11/2*b - 1/2*b**2 - 14 = 0.
4, 7
Let n = 42 + -39. Let 2*t**3 - 3*t**3 + 8*t**4 + 5*t**5 - 6*t**2 + 4*t**2 + 2*t**n = 0. Calculate t.
-1, 0, 2/5
Let p(d) be the third derivative of 5*d**8/336 - d**7/7 - d**6/6 + 9*d**5/2 - 75*d**4/8 - 161*d**2 + 17. Suppose p(q) = 0. What is q?
-3, 0, 1, 3, 5
Let o(r) be the first derivative of r**6/10 - 3*r**5/5 + 3*r**4/4 - 9*r - 119. Let i(p) be the first derivative of o(p). Factor i(v).
3*v**2*(v - 3)*(v - 1)
Let d = 597969/112 + -5339. Let t(y) be the third derivative of 0*y**4 - 1/70*y**7 - 13*y**2 + 0*y + 0*y**3 + 1/40*y**6 + 1/20*y**5 + 0 - d*y**8. Factor t(k).
-3*k**2*(k - 1)*(k + 1)**2
Let f(h) be the first derivative of -5*h**4/4 - 55*h**3/3 + 430*h**2 + 1900*h + 6696. Factor f(u).
-5*(u - 10)*(u + 2)*(u + 19)
Let h(o) be the first derivative of 2*o**3/63 - 8*o**2/3 + 110*o/21 + 495. Find l, given that h(l) = 0.
1, 55
Let t(h) = -26*h + 100. Let i be t(3). Let x(f) = f**2 + 12*f + 30. Let v(u) = 4*u**2 + 48*u + 119. Let w(c) = i*x(c) - 6*v(c). Factor w(s).
-2*(s + 3)*(s + 9)
Let n(c) be the third derivative of -c**7/42 - 7*c**6/12 - 3*c**5 - 85*c**4/12 - 55*c**3/6 - 557*c**2. Determine u, given that n(u) = 0.
-11, -1
Let h(t) be the second derivative of 1/30*t**4 + 2/5*t**3 + 4/5*t**2 + 0 - 1/150*t**6 - 3/100*t**5 + 76*t. Factor h(p).
-(p - 2)*(p + 1)*(p + 2)**2/5
Let c be 6/(-123) - (-648)/3198. Let w = -22/45 - -466/585. Solve w*f**2 - 4/13*f**4 - 2/13*f**5 + 0*f + 0 + c*f**3 = 0.
-2, -1, 0, 1
Let z(c) be the third derivative of 5*c**8/1344 - 25*c**7/168 - 240*c**2. Solve z(f) = 0.
0, 25
Let r(i) be the third derivative of -i**6/120 + 7*i**5/20 + i**4/24 - 7*i**3/2 + 1192*i**2. Let r(y) = 0. Calculate y.
-1, 1, 21
Let k(g) be the third derivative of g**5/240 - g**4/16 + g**3/3 + 10*g**2 + 3. Suppose k(l) = 0. What is l?
2, 4
Let x = -632 + 631. Let d(z) = 2*z**4 + z**3 - 4*z**2 + 3. Let m(h) = h**3 + 1. Let b(w) = x*m(w) + 