0, 2
Let n(o) = 2914*o - 32*o**2 + 325 - 2882*o + 31*o**2. Let m be n(-8). Factor 1/2*v**m + 2 + 11/2*v**2 - 3/2*v**4 - 1/2*v**3 - 6*v.
(v - 2)*(v - 1)**3*(v + 2)/2
Suppose -3*w + 14 = -2*w. Suppose 0 = -2*b + b + w. Suppose -2*k + 3*k + b*k**2 + 3*k + 0*k**2 = 0. Calculate k.
-2/7, 0
Let q(u) be the third derivative of -u**7/105 + 11*u**6/20 - 31*u**5/30 - 11*u**4/4 + 32*u**3/3 - 3*u**2 - 338*u. Factor q(y).
-2*(y - 32)*(y - 1)**2*(y + 1)
Let d(j) = -j**2 - 6*j + 1. Let p be d(-5). Suppose -2 = -4*r + p. Factor -12*v**2 + 3 + r*v - 3*v**4 - 2*v**3 + 8*v**2 + 4*v**4 + 0*v.
(v - 3)*(v - 1)*(v + 1)**2
Let v(b) be the third derivative of -b**7/21 - 29*b**6/8 - 527*b**5/12 - 115*b**4 + 2920*b**3/3 + 2218*b**2 + 2*b. Find u such that v(u) = 0.
-73/2, -4, 1
Suppose -w = -4*h + 18, -2*w - 3*h + 14 = -5. Suppose 6*l = w*l + 20. Factor -4*i**2 - 23*i**2 + 1452*i**5 - 304*i**3 - l*i**2 - 488*i**4 + 48*i**4.
4*i**2*(3*i - 2)*(11*i + 2)**2
Let x(r) be the first derivative of -9*r**6/16 - 91*r**5/40 + r**3 + 55*r**2/2 - 3*r - 316. Let z(c) be the second derivative of x(c). What is v in z(v) = 0?
-2, -2/9, 1/5
Let i = -6203/16 + 1024319/2640. Let s = i + -8/55. Suppose -s*f**5 + 1/3*f**4 - 2/3*f**2 - 13/6*f + f**3 - 1 = 0. Calculate f.
-1, 2, 3
Let c(x) = 171*x**2 - 13*x - 10. Let z be c(-8). Factor 1015*d + 30638 - 455*d + 4*d**2 - z.
4*(d + 70)**2
Let 11141*u**2 - 65 - 268*u - 3727*u**2 + 4*u**3 - 3731*u**2 - 3714*u**2 = 0. Calculate u.
-5, -1/4, 13
Let t(o) be the second derivative of 3/25*o**6 + 10*o - 2*o**3 + 0 + 20*o**2 + 1/210*o**7 - 109/30*o**4 + 59/100*o**5. Find v, given that t(v) = 0.
-10, -1, 1, 2
Let 21051603 - 13307*g + 173*g - 2760*g + 3*g**2 = 0. Calculate g.
2649
Let w(c) be the first derivative of 81*c**5/35 - 27*c**4/4 + 125*c**3/21 - c**2/2 - 10*c/7 - 1614. Let w(j) = 0. What is j?
-2/9, 5/9, 1
Let u(g) be the first derivative of g**4 + 24*g**3 - 787. Factor u(r).
4*r**2*(r + 18)
Factor 497 - 8668*c**2 - 2*c**4 + 9042*c**2 + 199 + 47*c**3 - 3*c**3 + 904*c.
-2*(c - 29)*(c + 2)**2*(c + 3)
Let u(v) be the second derivative of -1/3*v**4 + 32*v + 0*v**3 - 11/15*v**5 + 0 - 1/6*v**6 - 15*v**2. Let x(t) be the first derivative of u(t). Factor x(y).
-4*y*(y + 2)*(5*y + 1)
Let j = -21565 + 1509553/70. Let t(z) be the second derivative of 0*z**2 + j*z**5 - 30*z + 0*z**3 + 1/105*z**6 + 0 - 2/21*z**4. Let t(q) = 0. Calculate q.
-4, 0, 1
Let k(m) be the first derivative of -m**5 - 59*m**4 - 2848*m**3/5 + 3704*m**2/5 - 304*m - 2363. Suppose k(a) = 0. What is a?
-38, -10, 2/5
Suppose 5*a = -0*a + 30. Suppose -15 = a*b - 9*b. What is x in -2*x + b*x**2 - 3*x + 2*x**3 - 5*x**4 + 3*x**3 = 0?
-1, 0, 1
Suppose 20*c - 27 = 17*c - 3*q, q = 4*c - 11. Let x(a) be the first derivative of -2/15*a**3 + 2/25*a**5 - 5 + 0*a**2 + 0*a**c + 0*a. Factor x(y).
2*y**2*(y - 1)*(y + 1)/5
Let r(c) be the third derivative of c**7/210 - 13*c**6/96 + 73*c**5/60 - 143*c**4/32 + 15*c**3/4 + 2301*c**2. Suppose r(v) = 0. Calculate v.
1/4, 3, 10
Let k(c) be the first derivative of -3*c**4/4 + 198*c**3 + 6*c**2 - 2376*c - 4448. Factor k(r).
-3*(r - 198)*(r - 2)*(r + 2)
Let z be (1 - 69/54) + 7/14. Let x = 610 - 607. Find f, given that -4/9 + 0*f**2 + 2/3*f - z*f**x = 0.
-2, 1
Let l = 851 + -839. Determine a, given that 4 - 10*a**2 - 1 + 295*a**4 - 300*a**4 - 20*a + l + 20*a**3 = 0.
-1, 1, 3
Let p = 60075237/944 - 63639. Let w = 323855/2832 - p. Suppose 8/3*n + 0 + 98*n**3 - w*n**4 - 28*n**2 = 0. What is n?
0, 2/7
Let v = -491 + 979. Determine t so that 32*t + 272*t**2 - 324*t**5 - 15319 - 468*t**4 + v*t**3 + 15319 = 0.
-2, -2/9, 0, 1
Let p(w) be the first derivative of w**3/6 + 31*w**2/2 + 961*w/2 + 228. Suppose p(x) = 0. What is x?
-31
Let p be ((-275)/(-110))/(5/10068). Factor p*n**2 + 28*n - 2506*n**2 + 8 - 2516*n**2.
4*(n + 2)*(3*n + 1)
Let h be (-8)/((-738)/18 + 33). Factor 1/3*a**4 + 2*a**3 - 14/3*a**2 - 1/3*a**5 + 11/3*a - h.
-(a - 1)**4*(a + 3)/3
Suppose 0 = 7*g - 128 - 152. Suppose 0 = -5*z + 4*o + o + g, -3*z + 20 = -4*o. Factor -14*h**3 + z + 0*h - 37*h - 21*h + 60*h**2.
-2*(h - 3)*(h - 1)*(7*h - 2)
Let a(j) be the second derivative of 0*j**2 - 1/14*j**4 + 3/14*j**3 + 51*j + 0 - 3/140*j**5. Factor a(u).
-3*u*(u - 1)*(u + 3)/7
Let t = -865449/4 + 216384. Solve 0 - t*l**3 + 5*l + 7/4*l**5 - 11*l**2 - 4*l**4 = 0 for l.
-2, -1, 0, 2/7, 5
Let x(i) be the third derivative of 43*i**4/6 - 114*i**3 - 7*i**2 - 41*i. Let v be x(4). Factor -14/3*j + 2/3*j**3 + 0*j**2 + v.
2*(j - 2)*(j - 1)*(j + 3)/3
Let z(t) be the first derivative of 5*t**6/6 + 8*t**5 - 60*t**4 + 80*t**3/3 + 440*t**2 - 960*t - 8218. Let z(h) = 0. What is h?
-12, -2, 2
Let l = -52255/8 + 6532. Let y(i) be the second derivative of 0 - 1/48*i**4 - 1/4*i**2 - l*i**3 - 14*i. Factor y(z).
-(z + 1)*(z + 2)/4
Let a = 31827 - 413739/13. Suppose -2/13*o**4 - 12/13*o**3 - 14/13 + a*o + 16/13*o**2 = 0. Calculate o.
-7, -1, 1
Let n(l) = 3*l**2 - l + 1. Let h(b) = 66*b**2 - 5589*b + 2583573. Let f(z) = -h(z) + 21*n(z). Factor f(w).
-3*(w - 928)**2
Let p = -233 - -235. What is g in 204*g**p + 211*g**2 - 15 + 18*g - 418*g**2 = 0?
1, 5
Suppose 159 = 4*u - 5*i, -5*u - i + 220 = -3*i. What is p in 67*p**3 - 108*p - 40*p**3 - 310 + u + 78*p**2 - 3*p**4 = 0?
-2, 2, 11
Suppose 0*v = -v - 2*o + 129, -4*o = v - 139. Let f = 1549/13 - v. Factor 4/13*y**2 + 2/13*y + f*y**3 + 0.
2*y*(y + 1)**2/13
Suppose 13*o - 25 - 40 = 0. Let r = -60 + 64. Let 7*g**2 - 2*g**2 + 7*g**5 + 11*g**2 - 12*g**r - 3*g**o = 0. Calculate g.
-1, 0, 2
Let d = -852 + 846. Let h(k) = 15*k**3 + 37*k**2 - 63*k. Let t(p) = -4*p**3 - 9*p**2 + 16*p. Let l(g) = d*h(g) - 22*t(g). Factor l(o).
-2*o*(o - 1)*(o + 13)
Let i(x) = 27*x**3 - 4229*x**2 - 894640*x - 890416. Let q(b) = 235*b**3 - 38060*b**2 - 8051760*b - 8013745. Let u(h) = 35*i(h) - 4*q(h). Solve u(v) = 0 for v.
-422, -1
Suppose 0*m - 5*m + 230 = 0. Suppose -m + 58 = 4*n. Solve -445*p**n + 3*p + 443*p**3 + 11*p - 12 = 0.
-3, 1, 2
Let u = 460452/7 + -65778. What is f in 12/7*f**2 - u*f - 10/7*f**3 + 1/7 + 3/7*f**4 = 0?
1/3, 1
Let h(z) be the second derivative of -12*z**4 + 1/5*z**5 + 16*z + 2/5*z**6 + 32*z**2 + 24*z**3 + 0. Let h(o) = 0. Calculate o.
-4, -1/3, 2
Suppose -16*x = 182 - 86. Let i be 24/x - 120/(-25). Factor 0 - 2/5*z**2 - i*z.
-2*z*(z + 2)/5
Find u such that 13 + 7 + 1556*u - 302642*u**2 + 5 + 19 - 46 = 0.
1/389
Let p(o) = -416 - o**2 - 12*o + o + 430. Let k be p(-12). What is m in 2*m**2 + 9*m**2 + 20*m - 7*m**k = 0?
-5, 0
Let c = 517844 + -517844. Factor 21/8*m**4 + c + 6*m**3 + 33/8*m**2 + 3/4*m.
3*m*(m + 1)**2*(7*m + 2)/8
Let p(d) = -d**2 - d - 1. Let f(v) = v**3 + 10*v**2 + v + 6. Let q be (-169)/(-91) - 6/7. Let r(c) = q*f(c) + 6*p(c). Factor r(h).
h*(h - 1)*(h + 5)
Let h(g) be the first derivative of -g**6/36 - 11*g**5/30 - 19*g**4/24 + 79*g**3/18 + 23*g**2/3 - 70*g/3 + 439. Determine x, given that h(x) = 0.
-7, -5, -2, 1, 2
Let y(d) be the third derivative of 0 - 4/3*d**4 + 0*d - 1/30*d**6 + 2/105*d**7 + 0*d**3 + 8*d**2 - 2/3*d**5. Factor y(g).
4*g*(g - 4)*(g + 1)*(g + 2)
Let s(a) be the second derivative of -a**5/60 + 25*a**4/18 - 143*a**3/18 + 47*a**2/3 - 1598*a. Factor s(n).
-(n - 47)*(n - 2)*(n - 1)/3
Let m(t) be the first derivative of 27*t**5/5 - 717*t**4/20 - 271*t**3/5 + 1557*t**2/10 - 162*t/5 + 6872. Solve m(z) = 0.
-9/5, 1/9, 1, 6
Let 2934/7*p**4 - 732/7*p**2 - 2194/7*p**3 - 8/7*p**5 + 0*p + 0 = 0. What is p?
-1/4, 0, 1, 366
Let a = -10 - -16. Suppose -v - c = -a, 2*v - 3*c + 4 = 1. Suppose -v*d**2 + 5*d**2 + 40*d - 18 - 6*d**2 - 82 = 0. Calculate d.
5
Suppose -9*h - 280 = -17*h. Let u = -69/2 + h. Determine d so that u*d**5 - 2 - 1/2*d**4 - 5/2*d**3 + 2*d + 5/2*d**2 = 0.
-2, -1, 1, 2
Let v(b) be the third derivative of -75*b**2 + 0 - 1/35*b**5 - 3/56*b**4 - 1/280*b**6 + 0*b**3 + 0*b. Suppose v(t) = 0. What is t?
-3, -1, 0
Let g be 243/(-126)*84/(-360). Let z(u) be the second derivative of 5/12*u**4 - 1/15*u**6 + g*u**5 + 0 + 0*u**3 - 34*u + 0*u**2. Factor z(r).
-r**2*(r - 5)*(2*r + 1)
Let j(f) be the first derivative of 2*f**3/11 - 234*f**2/11 - 603. Solve j(d) = 0 for d.
0, 78
Let v(l) be the third derivative of -l**7/420 - 7*l**6/480 + l**5/48 + l**4/24 - 2*l**2 + 88*l. Let v(x) = 0. Calculate x.
-4, -1/2, 0, 1
Let v(a) = -22*a**2 + 28*a + 3. Let c(z) = 15*z**2 - 27*z - 2. Let k(d) 