2, -1, -1/3
Let q(p) be the first derivative of -2/5*p**5 + 29 + 0*p - 2/3*p**3 + 0*p**2 - p**4. Factor q(y).
-2*y**2*(y + 1)**2
Let k(f) be the first derivative of f**5/30 + f**4/6 + f**3/9 - f**2/3 - f/2 + 739. Find q such that k(q) = 0.
-3, -1, 1
Suppose -u - 26 = l - 35, u = 2*l + 3. Determine s so that 2/13*s**4 - 2/13*s**l + 0 + 0*s + 2/13*s**5 - 2/13*s**3 = 0.
-1, 0, 1
Factor -396/13*t - 90 - 2/13*t**2.
-2*(t + 3)*(t + 195)/13
Let t be -3*3/(-6) - 18/(-12). Suppose 0 = -3*p - 9, p = t*d + 2 - 14. Suppose -3/4*g**4 - 3/2 + 9/4*g**2 + 3/4*g**d - 3/4*g = 0. What is g?
-1, 1, 2
Let p = -497 + 508. Let x(v) be the second derivative of p*v + 1/6*v**4 + 0 - 1/7*v**7 + 0*v**3 - 1/2*v**5 + 0*v**2 + 7/15*v**6. Factor x(w).
-2*w**2*(w - 1)**2*(3*w - 1)
Suppose 213*f = 1329*f + 1034 - 3266. Suppose -1/2*w**4 - 2 - 3*w**3 - 6*w - 13/2*w**f = 0. What is w?
-2, -1
Suppose -254*m + 256*m = 6. Let -2*b**3 + 254*b - 5*b**m + 45*b**2 + 2*b**3 + 55 - 149*b = 0. What is b?
-1, 11
Find i, given that -224 - 11799*i**3 - 3469*i**3 + 560*i**4 - 4898*i**2 - 6538*i**2 - 2792*i = 0.
-2/7, -1/4, -1/5, 28
Factor -34/5*g**2 - 6 + 2/5*g**3 + 62/5*g.
2*(g - 15)*(g - 1)**2/5
Let f = -3140/623 - -1364/89. Factor -f + 2/7*m**3 + 22/7*m**2 + 48/7*m.
2*(m - 1)*(m + 6)**2/7
Let a = -559073/16 - -34943. Let y(n) be the first derivative of -3/2*n + 38 - 1/8*n**3 + a*n**2. Factor y(c).
-3*(c - 4)*(c - 1)/8
Let l(t) be the third derivative of 5*t**8/336 + 17*t**7/42 + 27*t**6/8 + 115*t**5/12 + 125*t**4/12 + 55*t**2 + 13. Determine z, given that l(z) = 0.
-10, -5, -1, 0
Let n(m) be the first derivative of 0*m + 1/8*m**4 + 0*m**2 - 5/3*m**3 - 56. Factor n(v).
v**2*(v - 10)/2
Let l be 22/(-4) + (-1)/(-2). Let i be -2 + (-37)/l - 3/(-5). Factor -7*k - 14*k + 6*k**3 + i*k - k**3 + 10.
5*(k - 1)**2*(k + 2)
Suppose -118 - 2/5*x**2 - 128/5*x = 0. What is x?
-59, -5
Factor 160/7*f - 4/7*f**2 + 704/7.
-4*(f - 44)*(f + 4)/7
Let u(l) be the third derivative of 0*l**5 + 0*l - 1/30*l**7 - 86*l**2 + 0 + 0*l**3 + 1/20*l**6 + 0*l**4 + 1/336*l**8. Factor u(k).
k**3*(k - 6)*(k - 1)
Let v(m) be the third derivative of 7/60*m**5 - 1/24*m**6 + 0 + 5/24*m**4 - 98*m**2 + 0*m - 1/210*m**7 - m**3. Factor v(d).
-(d - 1)**2*(d + 1)*(d + 6)
Solve 3185 + 12*j**2 - 5*j**2 - 16973*j + 20163*j - 2*j**2 = 0.
-637, -1
Let w(l) be the first derivative of -5/3*l**3 - 90*l - 45 - 95/2*l**2. Factor w(f).
-5*(f + 1)*(f + 18)
Let t = 20588 + -20555. Let n(m) be the second derivative of t*m + 5/21*m**3 + 0 - 1/42*m**4 + 6/7*m**2. Factor n(w).
-2*(w - 6)*(w + 1)/7
Suppose 0 = -8*s + 4*s + 8. Suppose -118*t**2 + 72 - t**3 - 119*t**2 + 227*t**s - 12*t = 0. Calculate t.
-6, 2
Let a(u) be the third derivative of 1/52*u**4 + 10*u**2 + 1/390*u**5 + 0 - 4/39*u**3 - 3*u. Factor a(z).
2*(z - 1)*(z + 4)/13
Let m(u) = u**2 + 76*u + 73. Let i(j) = -j**2 - 226*j - 218. Let d(h) = -2*i(h) - 7*m(h). Factor d(b).
-5*(b + 1)*(b + 15)
Let i(y) be the second derivative of -y**5/30 + 7*y**4/12 - 10*y**3/3 - 2*y**2 + 3*y. Let h(s) be the first derivative of i(s). Let h(w) = 0. Calculate w.
2, 5
Let z(u) = -u**2 - 15*u + 47. Let o be z(-16). Suppose -10*v + o + 19 = 0. Factor p + 40 - p**v - 4*p + 6*p**4 + 16*p**2 - 14*p**3 - 6*p - 38.
-(p - 2)*(p - 1)**4
Let l(n) = -16*n**3 - 123*n**2 + 884*n + 2312. Let c = -468 + 463. Let o(y) = 10*y**3 + 61*y**2 - 442*y - 1156. Let u(v) = c*o(v) - 3*l(v). Solve u(z) = 0.
-2, 17
Let i(r) be the third derivative of 5/84*r**7 + 0 - 2*r**2 + 0*r**3 + 5/1344*r**8 + 5/6*r**4 + 5/6*r**5 - 8*r + 11/32*r**6. Factor i(x).
5*x*(x + 1)**2*(x + 4)**2/4
Let i(g) be the second derivative of 1/3*g**6 + 0 - 160*g - 5/42*g**7 + 15*g**2 + 3/2*g**5 - 10/3*g**4 - 25/6*g**3. Suppose i(s) = 0. What is s?
-2, -1, 1, 3
Suppose -5*c = -0*u - 3*u - 38, -3*c + 4*u + 14 = 0. Find o, given that -7*o + 0*o**2 + c*o + 5*o**2 - 2 + 0*o**2 = 0.
-1, 2/5
Let u be (-5)/(-65) - ((-798)/182 + 4). Find x, given that 2/13*x**2 + 8/13*x + u = 0.
-3, -1
Let j(u) = -u - 9. Let l be j(-11). Suppose -1 = -l*s + 29. Factor -s*q - 8 - 3 + 21*q + 3*q**2 + 2.
3*(q - 1)*(q + 3)
Let v be 2/(-30) + (-4)/(-10). Let i = -4345/6 - -1449/2. Factor -i*c**2 + v*c**4 + 0*c**3 + 0*c + 0.
c**2*(c - 1)*(c + 1)/3
Let 43*p**4 - 16875*p + 0*p**4 - 39*p**4 - 5*p**4 + 147*p**3 - 5175*p**2 = 0. What is p?
-3, 0, 75
Find x, given that -135/2*x - 63*x**2 - 1/2*x**5 - 6*x**4 - 28*x**3 - 27 = 0.
-3, -2, -1
Let r(j) be the second derivative of 0 - 1/190*j**5 - 2/19*j**4 - 106*j + 0*j**2 + 0*j**3. Solve r(c) = 0 for c.
-12, 0
Suppose -4*c + 5 - 54 = -3*t, -3*t - 21 = 3*c. What is x in 0 + 14/17*x**t + 16/17*x**2 + 2/17*x**4 - 32/17*x = 0?
-4, 0, 1
Let p = -85 - -87. Suppose 15*j + 6 = 17*j. Suppose 26 + 3*r**4 - 23*r**2 - 26 + 15*r + 9*r**j - 4*r**p = 0. What is r?
-5, 0, 1
Let b(k) be the second derivative of k**5/4 - 35*k**4/12 - 25*k**3/3 + 40*k**2 + 621*k + 1. Find v such that b(v) = 0.
-2, 1, 8
Let a(s) be the third derivative of -s**6/300 - 4*s**5/75 + 11*s**4/60 + 6*s**3/5 - 51*s**2 - 1. Determine p so that a(p) = 0.
-9, -1, 2
Let j(y) be the second derivative of y**4/18 - 128*y**3/3 + 12288*y**2 + 25*y + 2. Factor j(h).
2*(h - 192)**2/3
Let p(k) be the third derivative of k**7/945 - k**6/180 - 13*k**5/27 - 31*k**4/9 + 56*k**3/3 + 2*k**2 + 124*k. Let p(o) = 0. What is o?
-6, 1, 14
Let t(z) be the second derivative of -z**6/90 + 29*z**5/30 - 14*z**4/9 - 29*z**3/9 + 19*z**2/2 + 48*z - 4. Factor t(p).
-(p - 57)*(p - 1)**2*(p + 1)/3
Let i(w) be the second derivative of -w**6/75 - 87*w**5/25 - 142*w**4/5 - 1186*w**3/15 - 507*w**2/5 - 7822*w. Solve i(u) = 0 for u.
-169, -3, -1
Let f be (2/15)/(-1)*(5/(-22) + 0). Let o(y) be the first derivative of 6 + 2/11*y**2 + 5/11*y - f*y**3. Determine g, given that o(g) = 0.
-1, 5
Let s be (38/(-4448))/(5*10/900). Let o = -4/139 - s. Factor 1/8 - o*h**3 + 1/8*h - 1/8*h**2.
-(h - 1)*(h + 1)**2/8
Find p such that 4400*p**2 + 3*p**3 + 960 + 4785*p**2 + 4714*p**2 + 1923*p - 12933*p**2 = 0.
-320, -1
Let d = 2903687/871098 + -9/290366. Factor 2/3*a**3 - d*a**2 - 14/3 - 26/3*a.
2*(a - 7)*(a + 1)**2/3
Let t(d) = 3230*d + 22612. Let b be t(-7). Solve -8*v - 1/8*v**3 + 0 - b*v**2 = 0 for v.
-8, 0
Let w(s) = 1766*s**2 - 1771*s**2 + 72 - 1358 - 166*s. Let f(k) = -30*k**2 - 995*k - 7715. Let a(j) = -6*f(j) + 35*w(j). Let a(t) = 0. What is t?
-16
Let v be (((-1632)/(-612))/(3 - 1))/2. Let u(r) be the second derivative of -v*r**3 - 4*r + 1/60*r**5 + 0 + 0*r**4 - 8/3*r**2. Factor u(g).
(g - 4)*(g + 2)**2/3
Let z(b) = -b**2. Let d(m) = 12*m**2 - 30*m - 32. Let v(y) = -2*d(y) - 44*z(y). Let q(g) = 13*g**2 + 40*g + 43. Let h(w) = 8*q(w) - 5*v(w). Factor h(f).
4*(f + 2)*(f + 3)
Let f(l) = -5*l**2 - 4635*l - 9190. Let x(z) = -10*z**2 - 9270*z - 18390. Let b(v) = -11*f(v) + 6*x(v). Determine q so that b(q) = 0.
-925, -2
Let r(l) be the second derivative of l**5/40 + 37*l**4/6 - 299*l**3/12 + 75*l**2/2 + 21*l - 37. Find g such that r(g) = 0.
-150, 1
Let j(a) be the second derivative of a**6/8 - a**5/6 - 5*a**4/24 - 5*a**2/2 + 32*a. Let s(b) be the first derivative of j(b). Let s(i) = 0. What is i?
-1/3, 0, 1
Let c(g) be the second derivative of g**7/105 - 7*g**6/25 + 28*g**5/25 - 6*g**4/5 - 679*g. Find w such that c(w) = 0.
0, 1, 2, 18
Let c = 125054 - 250103/2. Factor -1/4*t**4 + 9/4*t**3 - 25/4*t**2 - c + 27/4*t.
-(t - 5)*(t - 2)*(t - 1)**2/4
Find q such that -3132*q + 13292*q - 2*q**2 - 13974712 + 1071512 = 0.
2540
Let k be 4 - (-1)/(-60)*208. Let u(z) be the third derivative of 0*z**3 + 1/6*z**6 + 0*z + 1/2*z**4 + 28*z**2 + 0 + k*z**5. Factor u(r).
4*r*(r + 1)*(5*r + 3)
Let z(l) = 2*l + 4. Let o(s) = -605*s**2 - 112*s - 9. Let c(h) = o(h) + z(h). Suppose c(p) = 0. Calculate p.
-1/11
Let j(v) be the first derivative of v**4/18 + 184*v**3/9 + 2116*v**2 - 1225. Solve j(i) = 0.
-138, 0
Factor -1/5*p**3 + 128/5*p**2 + 126/5 - 253/5*p.
-(p - 126)*(p - 1)**2/5
Factor -112*d**2 + 161312/5 + 2/5*d**3 + 38056/5*d.
2*(d - 142)**2*(d + 4)/5
Suppose 8*l - 31 = 17. Suppose -18 = -3*n + l. What is g in -14*g**2 - n + 3 - 6*g**2 + 21*g**2 + 4*g = 0?
-5, 1
Let v(g) = -g**3 - 103*g**2 + 328*g + 1062. Let f be v(-106). Factor -3/7*p**f + 0*p + 5/7*p**3 + 0 - 2/7*p**4.
-p**2*(p - 1)*(2*p - 3)/7
Let q = 228 - 224. Let j be q/26 - -5*(-26)/(-845). Solve 8/13*u**4 + 0 - 10/13