*h**6 + 1/504*h**8 + 0*h. Factor v(p).
2*p*(p - 9)*(p + 2)**3/3
Let x(k) = 2*k**2 + 5*k - 4. Let v be x(0). Let q be 4/v - 95/(-38). Find l, given that -l**2 + q + 5/2*l = 0.
-1/2, 3
Let p be -80*(-26)/260*5. Let o be 0 - (-145)/3 - 0. Factor p*g + 12 + o*g**2 + 1/3*g**5 + 25*g**3 + 5*g**4.
(g + 1)**3*(g + 6)**2/3
Factor 79*o**3 + 90*o**3 - 174*o**3 - 603*o**2 - 1260*o - 1063*o**2 + 401*o**2.
-5*o*(o + 1)*(o + 252)
Let i = -72887 - -218663/3. Factor 6 - i*y**2 + 0*y.
-2*(y - 3)*(y + 3)/3
Let d(t) be the first derivative of t**4/22 + 224*t**3/33 + 49*t**2 + 856*t/11 - 4377. Suppose d(g) = 0. What is g?
-107, -4, -1
Suppose -5*f - y = -22, 0 = 5*f + 5*y + 1969 - 2019. Find a such that -34*a**2 + 10/3*a + 4/3 - 36*a**f = 0.
-1, -1/6, 2/9
Suppose 5*f - 29 = 4*f - 5*j, 5*j - 33 = -2*f. Factor -20 - 6785*m**2 - 448*m - 438*m**3 - 8405*m**f - 332*m + 9386*m**3 + 7042*m**3.
-5*(m - 1)**2*(41*m + 2)**2
Solve -3*w**4 - 86*w + 11*w**3 - 189*w**2 - 211*w + 127*w**3 - 33*w**3 = 0.
-1, 0, 3, 33
Suppose -9 = 2*v - 3*l, 5 = -24*v + 19*v + 4*l. Let h(m) = -m**3 + 1. Let x(o) = 4*o**3 - 3*o**2 + 1. Let a(p) = v*h(p) + x(p). Factor a(y).
(y - 2)**2*(y + 1)
Suppose -239*f - 1114/7 - 1/7*f**3 - 80*f**2 = 0. Calculate f.
-557, -2, -1
Let b(w) be the second derivative of -w**4/10 - 22*w**3/5 + 609*w**2/5 + 287*w - 19. Factor b(f).
-6*(f - 7)*(f + 29)/5
Determine l, given that 273 + 2*l**2 - 61*l - 1291 + 1111*l - 34 = 0.
-526, 1
Let d(u) = u**2 - 46*u + 104. Let v(f) = -2*f**2 + 90*f - 208. Let h(g) = -9*d(g) - 4*v(g). Let h(b) = 0. What is b?
2, 52
Let j be (-6)/(-12) - 38*3/(-711). Let z = j - -1/158. Let -z*w**4 + 4/3*w**2 - 2/3*w**5 - 2/3*w + 4/3*w**3 - 2/3 = 0. Calculate w.
-1, 1
What is t in 95*t - 18*t**2 + 12*t**2 + 1812 + 370*t + 9*t**2 = 0?
-151, -4
Solve -56*v**4 - 7396/3 - 1118*v + 3352/3*v**3 + 2/3*v**5 + 7564/3*v**2 = 0.
-2, -1, 1, 43
Let b(g) be the third derivative of -1/30*g**5 + 0*g + 5 - 4*g**2 + 11/6*g**4 - 121/3*g**3. Find m such that b(m) = 0.
11
Suppose -3*r - 24 = 0, 15590*l + 4*r - 9 + 26 = 15585*l. Find b, given that 0 - 6/5*b**2 - 3/5*b - 3/5*b**l = 0.
-1, 0
Determine m, given that 5196/5*m**2 + 2/5*m**4 - 202/5*m**3 - 2000 - 920*m = 0.
-1, 2, 50
Let i(n) be the third derivative of n**6/40 + 1353*n**5/20 + 456975*n**4/8 - 458329*n**3/2 + 866*n**2. Factor i(t).
3*(t - 1)*(t + 677)**2
Let r(i) be the second derivative of -i**6/105 - 2*i**5/35 + 13*i**4/14 - 18*i**3/7 - 1190*i. Determine a, given that r(a) = 0.
-9, 0, 2, 3
Let f(d) = -88*d**2 - d - 1. Let k(m) = 174*m**2 - 162*m - 1902. Let g(l) = -4*f(l) - 2*k(l). Factor g(s).
4*(s + 14)*(s + 68)
Let g(u) = -2*u + 71. Let y be g(28). Factor 14 - 423*m**2 - 426*m**2 + y*m + 850*m**2.
(m + 1)*(m + 14)
Let s(v) be the third derivative of -v**7/168 - 7*v**6/72 - v**5/2 - 21*v**3/2 - 72*v**2. Let u(g) be the first derivative of s(g). Factor u(d).
-5*d*(d + 3)*(d + 4)
Suppose -9*v + 83*v + 49*v - 246 = 0. Solve 2/15*d - 4/5*d**v + 4/5 - 2/15*d**3 = 0.
-6, -1, 1
Let 0 - 189/2*t - 1/8*t**3 + 193/8*t**2 = 0. What is t?
0, 4, 189
Solve 14/15*g**3 - 2/5*g**2 - 2/5*g**4 - 2/5*g + 4/15 = 0 for g.
-2/3, 1
Let v(j) be the second derivative of j**5/10 + j**4 - 55*j**3/3 - j + 15. Factor v(c).
2*c*(c - 5)*(c + 11)
Let r(g) be the first derivative of -3*g + g**2 + 1/3*g**3 + 26. Factor r(a).
(a - 1)*(a + 3)
Let l(i) be the second derivative of -3/2*i**2 + 1/10*i**6 - 3*i + 0 + 3/10*i**5 - i**3 + 0*i**4. Find r, given that l(r) = 0.
-1, 1
Let q(u) be the first derivative of -5*u**4/8 + 115*u**3/6 + 245*u**2/4 + 125*u/2 - 7462. Solve q(k) = 0.
-1, 25
Suppose -148 - p**2 - 4*p - 2 - 52*p - p**2 = 0. Calculate p.
-25, -3
Let g(z) = 7*z**5 - 2*z**4 + 43*z**3 + 104*z**2 + 4*z. Let u(l) = l**5 + l**3 + 4*l**2 - 4*l. Let d(r) = g(r) - 8*u(r). Let d(i) = 0. Calculate i.
-6, -1, 0, 6
Let r(p) = -3969*p**3 - 390*p**2 - 18*p - 25. Let a(m) = -2*m**2 - m. Let w(c) = 6*a(c) - r(c). Let o(u) be the first derivative of w(u). Factor o(h).
3*(63*h + 2)**2
Let r(h) be the third derivative of -h**7/11340 - 2*h**6/405 - 16*h**5/135 + h**4/2 - 68*h**2. Let d(w) be the second derivative of r(w). Factor d(t).
-2*(t + 8)**2/9
Let m be 10/(-45) + 16/(-9). Let r be (14/(-6) + 2)*m*9. Let 3*q - 6 + 4*q - 4*q - 2*q**3 + r*q**2 - q = 0. Calculate q.
-1, 1, 3
Suppose 3*b = 2*z - 16 - 5, -5*z + 3*b = -30. Suppose i**3 - 29*i - i**3 - 114*i - 16*i - 3*i**z + 84*i**2 + 78 = 0. Calculate i.
1, 26
Let y(s) be the first derivative of -3*s**5/25 + 51*s**4/20 - 69*s**3/5 - 51*s**2/10 + 42*s + 2919. Suppose y(c) = 0. What is c?
-1, 1, 7, 10
Let v(b) be the second derivative of -b**4/60 - 17*b**3/30 - 7*b**2 - 12*b + 42. Determine z so that v(z) = 0.
-10, -7
Let z(g) = 1266*g - 130393. Let t be z(103). Find m such that 15/2*m - 9/2*m**4 + 7/2 - 1/2*m**t + m**2 - 7*m**3 = 0.
-7, -1, 1
Let p(i) be the third derivative of 49/480*i**5 - 1/960*i**6 - 2*i**2 + 0*i**3 - 71 + 0*i + 25/96*i**4. What is r in p(r) = 0?
-1, 0, 50
Let f(k) = -5*k**4 + 88*k**3 + 351*k**2 - 1418*k + 1611. Let o(i) = -i**4 + 16*i**3 + 70*i**2 - 284*i + 322. Let g(a) = 2*f(a) - 11*o(a). Factor g(n).
(n - 4)**2*(n - 2)*(n + 10)
Let h(n) be the first derivative of -1/24*n**4 - 1/24*n**3 + 0*n**2 - 42*n - 1/80*n**5 - 23. Let f(x) be the first derivative of h(x). Factor f(s).
-s*(s + 1)**2/4
Let l(t) be the second derivative of 0 - 2/75*t**6 + 0*t**3 - 26/25*t**5 + 9/5*t**4 + 0*t**2 + 81*t. Suppose l(h) = 0. Calculate h.
-27, 0, 1
Let s be ((-1004)/(-5271))/(1 + -2 + 18/14). Let q(d) be the second derivative of -5/6*d**3 + 0 - 9/4*d**5 + 0*d**2 + 39*d - 5/2*d**4 - s*d**6. Factor q(a).
-5*a*(a + 1)**2*(4*a + 1)
Let t(f) = f**3 + 28*f**2 - 25*f. Let a(s) = 380*s + 2 - 2 - 7*s**3 - 111*s**2 - 281*s + s**3. Let q(l) = 2*a(l) + 9*t(l). Find y such that q(y) = 0.
0, 1, 9
Let l(u) be the first derivative of -2*u**5/5 + 4*u**4 - 32*u**3/3 - 888. Factor l(j).
-2*j**2*(j - 4)**2
Let m(v) be the first derivative of -v**4/2 + 164*v**3/3 - 1596*v**2 - 7056*v - 1457. Let m(k) = 0. Calculate k.
-2, 42
Determine h so that 314/5*h - 636/5 + 2/5*h**2 = 0.
-159, 2
Let y(m) be the first derivative of 21/19*m**2 + 0*m + 2/57*m**3 + 160. Factor y(q).
2*q*(q + 21)/19
Let x(z) be the first derivative of -z**5 + 335*z**4/4 + 340*z**3/3 + 830. Factor x(m).
-5*m**2*(m - 68)*(m + 1)
Let d = -68529 + 479730/7. Let 36/7 - 23/7*u**2 + d*u**3 - 9/7*u**4 + 1/7*u**5 - 24/7*u = 0. Calculate u.
-1, 2, 3
Let s(h) be the first derivative of -h**4/26 - 4*h**3/39 - h**2/13 + 870. Factor s(v).
-2*v*(v + 1)**2/13
Let m(h) be the third derivative of h**5/330 - 311*h**4/132 - 2039*h**2. Solve m(b) = 0.
0, 311
Let n be (-1 + (-1 + 0 - -4))*432/90720. Let f(z) be the third derivative of 0*z + 0*z**4 + 0 + 1/30*z**6 + 0*z**3 - n*z**7 - 1/30*z**5 + 18*z**2. Factor f(p).
-2*p**2*(p - 1)**2
Let u = -298 - -307. Let c be 0 - (-1 + u/10). Determine z, given that -1/10*z**3 - 3/10*z - 1/2*z**2 + 0 + c*z**4 = 0.
-1, 0, 3
Let g(t) = -7*t**3 - 9*t**2 - 87*t - 118. Let r(s) = 2*s**3 + 3*s**2 + 22*s + 30. Let z(h) = -6*g(h) - 22*r(h). Factor z(y).
-2*(y - 3)*(y + 1)*(y + 8)
Let n(w) be the first derivative of w**3 + 3828*w**2 + 4884528*w - 663. Factor n(i).
3*(i + 1276)**2
Let g(x) be the second derivative of x**4/12 - 65*x**3/6 + 203*x**2 + 3028*x. Factor g(y).
(y - 58)*(y - 7)
Let y(i) be the third derivative of -i**7/1050 - 23*i**6/300 - 43*i**5/300 + 3*i**4/4 + 8530*i**2. Determine w so that y(w) = 0.
-45, -2, 0, 1
Let l = 181 - 177. Factor -32 + 16*z**2 + 12*z**2 + 4*z + l*z**4 + 22*z - 36*z**3 + 10*z.
4*(z - 8)*(z - 1)**2*(z + 1)
Let z(k) be the third derivative of -k**7/280 - k**6/20 - 7*k**5/40 + k**4/4 + 15*k**3/8 - 4171*k**2. Suppose z(l) = 0. Calculate l.
-5, -3, -1, 1
Let x(g) be the second derivative of -g**5/30 - g**4/9 + 73*g**3/9 - 70*g**2/3 - 3658*g. Factor x(w).
-2*(w - 7)*(w - 1)*(w + 10)/3
Let x(k) be the third derivative of 92/3*k**3 + 7*k**2 - 1/15*k**5 + 0*k + 15/2*k**4 - 2. Factor x(i).
-4*(i - 46)*(i + 1)
Let g(u) be the second derivative of 0 - 29*u + 29/6*u**3 + 0*u**2 - 4/3*u**4 - 1/90*u**6 - 3/10*u**5. Let r(k) be the second derivative of g(k). Factor r(l).
-4*(l + 1)*(l + 8)
Let o(q) be the second derivative of -1/120*q**5 + 20*q + 1/180*q**6 - 1/36*q**4 + 0*q**3 + 0*q**2 + 0. Factor o(w).
w**2*(w - 2)*(w + 1