1
Suppose -2*b + 4*m = -966, -18*m + 20*m = 0. Let u be 2/(-1)*(-69)/b. Factor -u*k**3 + 6/7*k**2 + 0 - 4/7*k.
-2*k*(k - 2)*(k - 1)/7
Let d(g) be the second derivative of -g**6/225 + g**5/300 + 12*g**3 - 74*g. Let r(w) be the second derivative of d(w). Factor r(v).
-2*v*(4*v - 1)/5
Let p be 123/(-6)*(-4935)/40467. Suppose -3*q = -5*q. Determine b, given that p - 5/4*b**3 + 15/4*b + q*b**2 = 0.
-1, 2
Let t be 5 - -33 - (-4 + -3). Let y be (-75)/(-18) - t/270. Factor 72/7*m**2 + y*m + 52/7*m**4 + 88/7*m**3 + 4/7 + 12/7*m**5.
4*(m + 1)**4*(3*m + 1)/7
Let j(m) be the third derivative of m**7/3780 + 29*m**6/1080 + 7*m**5/45 - 185*m**4/24 - 7*m**2 - 1. Let c(h) be the second derivative of j(h). Factor c(d).
2*(d + 1)*(d + 28)/3
Let v(u) be the third derivative of -5*u**8/84 + 6*u**7/35 + u**6/15 - 2*u**5/3 + u**4/2 + 2*u**3/3 - 3821*u**2. Let v(w) = 0. What is w?
-1, -1/5, 1
Let t(d) be the second derivative of d**5/170 + 11*d**4/102 + 26*d**3/51 + 16*d**2/17 - 2*d - 88. Find h, given that t(h) = 0.
-8, -2, -1
Let s(l) be the first derivative of l**4/48 + 5*l**3/24 + l**2/2 - 15*l - 82. Let q(b) be the first derivative of s(b). Solve q(v) = 0 for v.
-4, -1
Factor 1/4*c**2 - 291/2*c + 84681/4.
(c - 291)**2/4
Let v = 459 + -9. Factor -v*d + 4*d**3 + 24*d**2 - 2*d**4 - 2*d**5 + 432*d - 6*d**4.
-2*d*(d - 1)**2*(d + 3)**2
Let i be (183/(-244))/(-1 + (-5)/(-8)). Suppose 4 = 2*t + h, -7*t + 6*t + 3*h + i = 0. Factor 1/4*b**3 + 4 + t*b - 7/4*b**2.
(b - 4)**2*(b + 1)/4
Let o(r) = -r**2 + 536*r - 13258. Let h be o(26). Find v such that -16/5*v + 4/5*v**4 - 4/5*v**h - 2/5*v**5 + 0 + 18/5*v**3 = 0.
-2, -1, 0, 1, 4
Let t(l) be the second derivative of l**4/12 - 5*l**3/3 + 13*l**2 + 15*l. Let w be t(13). Solve -20*z**4 - 171*z + 171*z - w*z**3 - 15*z**2 = 0.
-3, -1/4, 0
Let h(v) = v**3 - 7*v**2 + 7*v - 2. Let j be h(6). Solve m**2 + 10*m**3 + 0*m**2 + 18*m**3 - m**j + m**5 - 29*m**3 = 0.
-1, 0, 1
Let p be -15 + 420/12 + -17. Let v(g) be the third derivative of 0 - 121/3*g**p + 25*g**2 + 0*g + 11/6*g**4 - 1/30*g**5. Factor v(s).
-2*(s - 11)**2
Let v(i) be the second derivative of -i**6/75 + 11*i**5/10 - 299*i**4/30 + 49*i**3/3 + 38*i - 84. Suppose v(p) = 0. Calculate p.
0, 1, 5, 49
Factor 138 - 32*b - 4874022*b**2 + 4874021*b**2 + 182.
-(b - 8)*(b + 40)
Let u be 13774*1*40/160664. Let q = u - 2/2869. Find b, given that -2/7*b**2 - 72/7 + q*b = 0.
6
Let f(y) be the third derivative of y**8/336 + 13*y**7/210 + 17*y**6/40 + 47*y**5/60 - 13*y**4/6 - 10*y**3 + 53*y**2 - 2*y + 6. Suppose f(w) = 0. What is w?
-6, -5, -2, -1, 1
Let p(c) = -70*c - 60. Let f be p(-4). Let v be (594/f)/(3/5). Determine r, given that 9/2 + v*r**2 - 15*r = 0.
1/3, 3
Let p = -578 - -572. Let y be (-3 + 50/18)/(p/54). Suppose -4/11*x - 6/11 + 2/11*x**y = 0. What is x?
-1, 3
Suppose -2*p + 5*s = -74 - 12, 0 = 3*s + 12. Suppose 3*t + 9 = -29*b + p*b, 4*t - 4 = 0. Solve -3/2*j**5 + 9/2*j**4 + 0*j + 0 + 3/2*j**b - 9/2*j**2 = 0.
-1, 0, 1, 3
Let h(f) = -3*f**3 + f**2 - f - 3. Let b be h(-1). Determine p so that 129*p**2 - 66*p**b - 10*p + 12 - 65*p**2 = 0.
-6, 1
Let m(i) be the second derivative of -i**7/21 + 11*i**6/45 - 4*i**5/9 + 8*i**4/27 - 8*i + 96. Suppose m(j) = 0. What is j?
0, 1, 4/3
Suppose 1132*s - 1133*s = -u - 11, -63 = -2*u - 3*s. Factor -u*v**2 - 18 + 18*v + 2/3*v**3.
2*(v - 3)**3/3
Let d(a) = 3*a**2 + 3112*a + 27768. Let u be d(-9). Determine q, given that 0 - 9/2*q**4 - 3/2*q**2 + 15/4*q - 39/4*q**u = 0.
-5/3, -1, 0, 1/2
Factor -108/7*a - 2/7*a**2 - 106/7.
-2*(a + 1)*(a + 53)/7
Let q = 2/223 + 1766/2007. Let m(i) be the first derivative of -q*i**3 + 1/3*i**4 + 0*i - 15 + 2/3*i**2. What is y in m(y) = 0?
0, 1
Let x(q) be the second derivative of q**6/10 + 12*q**5/5 + 95*q**4/4 + 124*q**3 + 360*q**2 - 574*q - 2. Factor x(i).
3*(i + 3)*(i + 4)**2*(i + 5)
Suppose k - 5*y - 25 = 0, -9*k + 10*k - y = 9. Solve -7*c**3 + k*c**2 + c + 3*c**3 - 8 - 3*c**2 + 15*c = 0.
-2, 1/2, 2
Let b(t) be the first derivative of 53/13*t**4 + 7 + 118/65*t**5 + 8/13*t + 4/13*t**6 + 32/13*t**2 + 58/13*t**3. Let b(l) = 0. Calculate l.
-2, -1, -2/3, -1/4
Let v(u) be the third derivative of u**6/1620 - u**5/45 + u**4/3 - 31*u**3/6 - 66*u**2. Let j(z) be the first derivative of v(z). Factor j(g).
2*(g - 6)**2/9
Let j(k) be the first derivative of 3*k**2/2 + 70*k + 130. Let n be j(-22). Determine s so that -1/4*s**5 - 19/4*s**3 - 4*s + 7/4*s**n + 1 + 25/4*s**2 = 0.
1, 2
Let r = 495437 + -1981745/4. Factor 21/2*k**2 - 96 - r*k**3 - 24*k.
-3*(k - 8)**2*(k + 2)/4
Let b(i) be the second derivative of -i**5/40 + 13*i**4/8 + i**3/12 - 39*i**2/4 + 1520*i. Determine z, given that b(z) = 0.
-1, 1, 39
Let g(n) be the second derivative of 0*n**2 + 0 + 7/12*n**4 + 99*n + 1/20*n**5 + n**3. Factor g(d).
d*(d + 1)*(d + 6)
Let -5/3*s**3 + 1945085000/3 - 2664500*s + 3650*s**2 = 0. What is s?
730
Suppose -5*x - 12*l + 429 = -9*l, -5*l - 358 = -4*x. Suppose -17 = 14*f - x. Factor -3/2*w**f + 3/2*w**3 + 0*w**2 + 0*w + 9/4*w**4 + 0.
-3*w**3*(w - 2)*(2*w + 1)/4
Let i = 615 + -609. Suppose -2*d + 7*d + 4*q = i, -q = -d + 3. Let 0*a + 2/3*a**3 - 4/9*a**d + 0 - 2/9*a**4 = 0. What is a?
0, 1, 2
Let y(v) be the first derivative of v**5/110 - 5*v**4/66 + 2*v**3/33 + 8*v**2/11 - 171*v - 179. Let h(f) be the first derivative of y(f). Factor h(c).
2*(c - 4)*(c - 2)*(c + 1)/11
Let n(t) be the second derivative of 8*t**6/345 - 74*t**5/115 + 165*t**4/23 - 121*t**3/3 + 2662*t**2/23 + 1035*t. Let n(a) = 0. Calculate a.
2, 11/2
Let k(f) = 3*f**2 + 273*f - 502. Let n(b) = 2*b**2 + 272*b - 503. Let v(a) = 7*k(a) - 8*n(a). Solve v(q) = 0.
2, 51
Let l(p) = 24*p**4 - 269*p**3 - 544*p**2 - 10*p + 5. Let c(u) = 20*u**4 - 268*u**3 - 544*u**2 - 8*u + 4. Let a(w) = -5*c(w) + 4*l(w). Factor a(y).
-4*y**2*(y - 68)*(y + 2)
Suppose 1487135*a**2 - a**3 + 0*a**3 - 1487168*a**2 = 0. What is a?
-33, 0
Let v be -3 + 8334/(-4) + 38 + -40. Let m = -2088 - v. Let 12*j**3 - 156*j + 169/2 + 59*j**2 + m*j**4 = 0. Calculate j.
-13, 1
Let c(z) be the first derivative of z**5/5 - 207*z**4/4 + 812*z**3/3 - 15399. Factor c(a).
a**2*(a - 203)*(a - 4)
Let v(t) = 15*t + 25. Let l be v(27). Let w = l + -1286/3. Solve 4/3*h + 4*h**3 + 0 - w*h**4 - 4*h**2 = 0.
0, 1
Find q such that 0*q**3 + 0*q - 4/3*q**4 + 8/3*q**2 - 4/3 = 0.
-1, 1
Factor -229*s**3 + 12 - 403*s + 1059*s**2 - 683*s + 18*s - 35*s**3.
-3*(s - 2)**2*(88*s - 1)
Let o = -1639 + 1364. Let i be (-5)/18*220/o. Factor 2/9*w**3 + 1/9*w**4 - i*w - 1/9 + 0*w**2.
(w - 1)*(w + 1)**3/9
Let t(w) be the first derivative of 1/15*w**5 - 2/3*w**3 - 1/12*w**4 + 8/3*w + 97 + 2/3*w**2. What is n in t(n) = 0?
-2, -1, 2
Suppose l + 4*d - 104 = 0, -5*l - d + 169 = -294. Suppose 24*o - l*o + 136 = 0. Determine f, given that 2/5*f**3 - 12/5*f**o - 16/5 + 24/5*f = 0.
2
Let g be (-974 + 883)*(-4)/(-42) + (10 - 1). Let 1/3*d**4 + 2/3 - 1/3*d - d**2 + g*d**3 = 0. Calculate d.
-2, -1, 1
Let t = 302208 + -592701/2. Find m, given that -48*m**4 + 3/4*m**5 - t*m**2 - 14883*m + 3963/4*m**3 - 7986 = 0.
-1, 22
Let h = -7083 - -7087. Solve -36/5*r**3 - 4/5*r**2 + 0 + 0*r - 81/5*r**h = 0 for r.
-2/9, 0
Let l be ((-6)/5)/((-6)/(-80)). Let r(i) = i**2 + 15*i - 14. Let m be r(l). Let -4*z + m*z**2 + 52*z**4 + 4*z**3 - 28*z**4 - 26*z**4 = 0. What is z?
-1, 0, 1, 2
Let z(s) = 2*s**3 - 29*s**2 + 81*s + 14. Let j be z(4). Let d(i) be the third derivative of 9*i**j + 49*i**3 + 7/4*i**4 + 1/40*i**5 + 0*i + 0. Factor d(n).
3*(n + 14)**2/2
Let q be 2/5 - (-494)/190. Suppose -3*z**3 - q*z**4 + 3*z - 47*z**2 + 24 + 56*z**2 - 30 = 0. Calculate z.
-2, -1, 1
Let u(m) be the first derivative of 7*m**6/4 - 111*m**5/10 + 15*m**4/4 + 4633. Factor u(q).
3*q**3*(q - 5)*(7*q - 2)/2
Factor 2471363 + 3252649 + 2*a**2 + 37*a + 2155492 + 1503608 + 8627*a.
2*(a + 2166)**2
Let n(o) be the first derivative of -o**3/12 + 95*o**2/2 - 9025*o + 264. Find r, given that n(r) = 0.
190
Let w = 1433 - 2251. Let y = w + 818. Factor y*j + 0*j**4 - 1/2*j**2 - 3/4*j**3 + 1/4*j**5 + 0.
j**2*(j - 2)*(j + 1)**2/4
Let x be ((-78)/(-12) + -7)*0. Suppose x*s = -2*s + 2*u + 6, 4*s + u = 7. Factor 3/2 + 1/6*l**s - l.
(l - 3)**2/6
Suppose -5*g = -294*l + 298*l - 11, 3*g - 7 = -2*l. Let p(f) be the first derivative of -3/7*f**2 + 0*f - 10 - 6/7*f**g. Factor p(k).
-6*k*(3*k + 1)/7
Let n(f) = 11*f - 32. Let t(a) 