that -d + 14 - 6 + 4*b**2 = 0.
-1, 1
Let k(v) = -v**3 + 15*v**2 + 23*v - 12. Let g be k(16). Suppose -42*m + g + 26 = 0. Suppose 0*c + 3/8*c**m + 0 + 3/8*c**4 - 3/8*c**2 - 3/8*c**5 = 0. What is c?
-1, 0, 1
Let g(t) = t + 7. Let v be g(-4). Let i be 80/(-20)*(-5)/10. Factor 160*q + 156*q + 12*q**i + q**3 - 308*q + 2*q**4 + 7*q**v + 2.
2*(q + 1)**4
Let w be (-4)/8*-16 - -304. Factor 91796 + 8*b**3 + 6493*b + 4*b**3 + w*b**2 - 21492 + 1619*b - 8*b**3.
4*(b + 26)**3
Suppose 62 = -131827*a + 131858*a. Let i(q) be the first derivative of 40 - q**3 + 3/2*q**4 - 3*q**a + 3/5*q**5 + 0*q. Let i(m) = 0. What is m?
-2, -1, 0, 1
Factor 8103/7*t**3 + 97199/7*t**4 - 50653/7*t**5 + 0 + 2/7*t + 221/7*t**2.
-t*(t - 2)*(37*t + 1)**3/7
Let t = -4 + 9. Suppose -9 = -2*y + 3*n + 14, -y - 21 = t*n. Factor -2*c - c + 7*c + 2*c**2 - y*c**2.
-2*c*(c - 2)
Let b(h) be the third derivative of h**9/60480 - h**7/5040 - 13*h**5/6 + 162*h**2. Let p(q) be the third derivative of b(q). Suppose p(t) = 0. Calculate t.
-1, 0, 1
Solve 3*j**2 - 164*j + 558*j + 1704 + 486*j - 22*j = 0.
-284, -2
Suppose 0 = -4*h + 14 - 6. Let w(u) = 10*u**2 - 3*u - u**2 + h*u + 0*u. Let l(p) = 28*p**2 - 4*p. Let y(a) = 5*l(a) - 16*w(a). Factor y(i).
-4*i*(i + 1)
Find w, given that 0 - 368/9*w**3 - 1748/9*w**2 + 692/9*w**4 - 232/3*w + 8/9*w**5 = 0.
-87, -1, -1/2, 0, 2
Factor 124836*o**3 - 285954*o**2 + 381*o**4 + 849*o**4 + 31338*o**2 - o + 3*o**5 + o.
3*o**2*(o - 2)*(o + 206)**2
Let r(b) be the third derivative of 1/8*b**3 + 0 + 0*b + 62*b**2 - 7/80*b**5 - 3/16*b**4. Factor r(h).
-3*(h + 1)*(7*h - 1)/4
Let q(u) be the second derivative of u**5/15 - 11*u**4/18 + 2*u**3 - 3*u**2 - 5*u + 196. Factor q(r).
2*(r - 3)*(r - 1)*(2*r - 3)/3
Factor -268/3*d - 29/3*d**3 + 1/3*d**4 - 54*d**2 - 136/3.
(d - 34)*(d + 1)*(d + 2)**2/3
Let i(m) be the second derivative of -2*m**6/15 + 86*m**5/5 - 28*m**4 - 172*m**3/3 + 170*m**2 - 1408*m. Suppose i(p) = 0. Calculate p.
-1, 1, 85
Let t be (-1)/(4/(-9232)*2). Let k = t - 1152. Suppose -8/7*c**4 - 4*c + 4/7*c**5 + 32/7*c**k + 8/7 - 8/7*c**3 = 0. What is c?
-2, 1
What is w in 8/5*w**3 + 1688/5*w - 638/5*w**2 + 462/5 = 0?
-1/4, 3, 77
Let s(j) be the third derivative of 29*j**8/112 - 4*j**7/5 - 91*j**6/40 + 11*j**5/2 + 31*j**4/2 + 4*j**3 - 2431*j**2 - 1. Determine n so that s(n) = 0.
-1, -2/29, 2
Let i(b) be the second derivative of 0*b**4 + 7/360*b**6 + 0 - 21/2*b**2 + 0*b**3 - 1/90*b**5 + 7*b. Let r(w) be the first derivative of i(w). Factor r(c).
c**2*(7*c - 2)/3
Let b(w) be the third derivative of 0 + 1/30*w**5 + 1/6*w**4 - 308*w**2 + 0*w - 8*w**3. Let b(t) = 0. What is t?
-6, 4
Suppose 0 = -0*t - 5*t - 5*j + 30, -3*t - 6 = -5*j. Factor -69*z - 132*z**2 - 914*z**t + 42 + 935*z**3 - 42*z.
3*(z - 7)*(z + 1)*(7*z - 2)
Let -1 + 7*p + 3*p**5 - 1745*p**3 + 1772*p**3 + 21*p**2 + 1 - p + 15*p**4 = 0. What is p?
-2, -1, 0
Let i(u) be the second derivative of u**7/357 - 2*u**6/51 + 14*u**5/85 - 4*u**4/17 - 187*u + 2. Factor i(g).
2*g**2*(g - 6)*(g - 2)**2/17
Let j(p) be the first derivative of 5*p**3/12 - 4927*p**2/8 + 985*p/2 + 4155. Find z such that j(z) = 0.
2/5, 985
Let u(l) be the second derivative of l**5/10 - 49*l**4/2 + 1725*l**3 + 16875*l**2 - 47*l + 4. Factor u(f).
2*(f - 75)**2*(f + 3)
Suppose 8*a - 14*a = -19*a. Let p(h) be the second derivative of 0*h**2 - 1/24*h**4 + 4*h + 0*h**3 - 1/40*h**5 + a. Factor p(i).
-i**2*(i + 1)/2
Let c be ((3 - (3 - 0))*(-4)/8)/(4 + -1). Factor 2/7*a**5 + c*a + 0 + 114*a**3 - 78/7*a**4 - 722/7*a**2.
2*a**2*(a - 19)**2*(a - 1)/7
Suppose -330*p = 746*p - 2152. Factor p + 1/10*o**2 + 21/10*o.
(o + 1)*(o + 20)/10
Let o = -136 - 48. Let z be o/(-48) + (-2)/(-3). Factor -z*u**3 - 9*u**2 - 3/4*u**4 - 9/4 - 15/2*u.
-3*(u + 1)**3*(u + 3)/4
Let i(s) be the third derivative of -s**5/30 - 59*s**4/6 - 232*s**3/3 + 560*s**2 - 2. Determine d so that i(d) = 0.
-116, -2
Let k(w) = -15*w**3 - 550*w**2 - 1160*w - 590. Let i(z) = -13*z**3 - 558*z**2 - 1161*z - 588. Let x(g) = 5*i(g) - 4*k(g). Factor x(u).
-5*(u + 1)**2*(u + 116)
Let d = 65/116 + -25/174. Let o(j) be the first derivative of -j**3 - d*j**4 - 1/15*j**5 + 36 - 7/6*j**2 - 2/3*j. Determine w so that o(w) = 0.
-2, -1
Let t be -1 - (136/(-24))/((-1)/(-417)). Factor t - 2362 + 2*g**3 - 36*g**2.
2*g**2*(g - 18)
Let n(i) be the third derivative of -2*i**7/525 - 26*i**6/75 - 17*i**5/25 - 38*i**2 - 2*i + 19. Factor n(z).
-4*z**2*(z + 1)*(z + 51)/5
Factor -645*d + 630 + 107*d**2 - 5*d**4 + 68*d**2 + 121*d**3 - 116*d**3.
-5*(d - 3)**2*(d - 2)*(d + 7)
Let a(m) be the second derivative of -m**7/42 + 13*m**6/30 - 39*m**5/20 - 13*m**4/12 + 20*m**3/3 + 167*m. Find n, given that a(n) = 0.
-1, 0, 1, 5, 8
Let -554166*c - 1971360 + 42*c**3 + 4430*c**2 + 1530966*c - 132*c**3 + 45*c**3 + 50*c**3 = 0. Calculate c.
-444, 2
Determine t, given that 1/3*t**2 - 1/3*t - 10 = 0.
-5, 6
Find i, given that -61*i**5 - 323*i - 147*i - 508*i**2 + 63*i**5 - 204*i**3 - 39 - 14*i**4 - 111 = 0.
-5, -1, 15
Let t(f) be the second derivative of -8*f**6/15 + 36*f**5/5 - 47*f**4/3 + 10*f**3 + 2*f + 265. Solve t(l) = 0.
0, 1/2, 1, 15/2
Let j(q) = -4*q + 2. Let s be j(-12). Solve s*p + 20*p**2 + 15*p + 5*p**4 - 5*p - 35*p**3 = 0 for p.
-1, 0, 2, 6
Let i(g) be the third derivative of g**6/240 - 19*g**5/120 + 13*g**4/24 + 34*g**3/3 + 2278*g**2. Factor i(l).
(l - 17)*(l - 4)*(l + 2)/2
Let m(g) be the first derivative of 31 - 32/3*g**6 + 752/3*g**3 + 352/5*g**5 - 186*g**2 - 185*g**4 + 72*g. Suppose m(k) = 0. What is k?
3/4, 1, 2
Let n(x) be the third derivative of 0 - 25/12*x**4 + 0*x**3 + 16/9*x**5 + 0*x - 143/270*x**6 + 71*x**2 - 1/1512*x**8 + 32/945*x**7. Let n(z) = 0. What is z?
0, 1, 15
Let a = -284533 - -2560805/9. What is y in -2/9*y**4 - 2*y**2 + 0 - 4/3*y**3 - a*y = 0?
-4, -1, 0
Let f(w) be the third derivative of w**5/24 + 705*w**4/16 - 530*w**3/3 - 5745*w**2. Find t, given that f(t) = 0.
-424, 1
Let t be ((-4)/6)/((-18)/(-1242)). Let u = t - -48. What is q in q**4 + 1/2*q**5 + 0*q**3 + 0 - 1/2*q - q**u = 0?
-1, 0, 1
Let n(r) be the third derivative of -r**7/6300 - r**6/225 - 4*r**5/75 + r**4/12 - 5*r**2 + 2. Let p(u) be the second derivative of n(u). Factor p(w).
-2*(w + 4)**2/5
Factor -5*t**2 - 144*t + 1635 + 453*t - 224*t - 615*t.
-5*(t - 3)*(t + 109)
Factor 408/5*v**2 + 246*v + 0 - 2/15*v**3.
-2*v*(v - 615)*(v + 3)/15
Suppose 63*l = 19*l - 148 + 368. Let o(h) be the second derivative of -1/15*h**4 + 0*h**3 + 0*h**2 - 4/75*h**6 - 1/10*h**l - h - 1/105*h**7 + 0. Factor o(y).
-2*y**2*(y + 1)**2*(y + 2)/5
Let w = -4/27581 - -55206/303391. Factor 8/11 + w*z**2 - 8/11*z.
2*(z - 2)**2/11
Suppose 12 = -4*i - 8, -a + 3*i + 67 = 0. Let r be 240/115 + -4*(-6)/(-276). What is k in -a*k + 10*k**2 - 2*k**2 - 16 + 4*k**2 + 2*k**r = 0?
-2/7, 4
Factor -6*i**2 + i + i - 123 + 127 + 0*i**2 + 4*i**2.
-2*(i - 2)*(i + 1)
Let v = -249 - -249. Suppose -281*a + 275*a = v. Let -1/2*d**3 + a - d**2 - 1/2*d = 0. Calculate d.
-1, 0
Suppose 0 = -7*u - 47 + 61. Let g be -1 - 2/(-2) - -2. Factor -q**2 - 16*q + 17*q - g + q**u + q**2.
(q - 1)*(q + 2)
Let m be (-3 - -17 - 2) + 2. Suppose s + d - 2 = -0*d, d - m = -5*s. Factor s*k**2 + k**2 - 5*k**2 + 0*k - k.
-k*(k + 1)
Let n(y) be the first derivative of y**4/10 - 154*y**3/15 + 1036*y**2/5 - 384*y + 1223. Factor n(o).
2*(o - 60)*(o - 16)*(o - 1)/5
Let n(k) be the third derivative of k**8/36960 + k**7/924 + 7*k**6/1980 + 7*k**4/4 - 20*k**2. Let m(p) be the second derivative of n(p). Factor m(u).
2*u*(u + 1)*(u + 14)/11
Let d = 29/102 + 49/306. Let 0 + 2/9*p**4 - 4/9*p + d*p**3 - 2/9*p**2 = 0. Calculate p.
-2, -1, 0, 1
Let c(l) be the second derivative of -13*l**5/120 - 17*l**4/72 - 96*l - 7. Factor c(r).
-r**2*(13*r + 17)/6
Let m(h) be the second derivative of 35/2*h**2 + 0 - 5/3*h**4 - 18*h + 1/8*h**5 + 25/12*h**3. Suppose m(x) = 0. What is x?
-1, 2, 7
Suppose -3*t + 129 = -7*v + 4*v, 12 = -4*v. Let -6*d - 50 - t*d**3 + 5*d**5 + 20*d**4 - 50*d**2 + 123*d - 2*d = 0. What is d?
-5, -2, 1
Suppose 14424804/7*h + 11394/7*h**2 + 3/7*h**3 + 6087267288/7 = 0. Calculate h.
-1266
Suppose 19/5*h**3 + 0 + 24/5*h + 82/5*h**2 = 0. What is h?
-4, -6/19, 0
Let s(d) be the first derivative of d**5/15 + 22*d**4/3 - 128*d**3 + 2368*d**2/3 - 6400*d/3 + 7486. Factor s(u).
(u - 4)**3*(u + 100)/3
Let z(u) = 9*u**2 - 63*u + 17. Let v