= 0 for p.
-2, -1, 0
Suppose -9 = o - 4*p, 5*o + 15*p = 13*p + 21. Let z(r) be the third derivative of 0 + 0*r**4 + 0*r**o - 2*r**2 - 1/24*r**6 - 1/12*r**5 + 0*r. Factor z(c).
-5*c**2*(c + 1)
Let t be (-1)/4 - (-5740)/(-80). Let r = -70 - t. Solve 2 - 1/2*c**r + 0*c = 0.
-2, 2
Suppose 0 = -18*s - 24437 + 24491. Determine q, given that 3/7*q + 1/7*q**4 + 0 + 5/7*q**s + q**2 = 0.
-3, -1, 0
Suppose -v + 366 = 5*v. Let c = -61 + v. Factor 6/5*l**3 + 0*l**2 - 3/5*l**4 + 0 + c*l.
-3*l**3*(l - 2)/5
Let r(c) = c**3 - 38*c**2 - 37*c - 33. Let j be r(39). Let o be 30/8 - 135/j. Factor -27/8*w**2 - 33/8*w**3 + 0 + o*w.
-3*w*(w + 1)*(11*w - 2)/8
Suppose 29*q - 28*q = 0. Factor 0*w**3 + 0*w**2 + q + 0*w - 4/5*w**4.
-4*w**4/5
Let a(h) be the third derivative of -h**6/420 + h**5/35 - 3*h**4/28 + 5*h**2 + 19. Factor a(u).
-2*u*(u - 3)**2/7
Let d(h) = -h**3 - 8*h**2 - 15*h - 8. Let p be d(-6). Factor -4*k - p*k + 3*k**3 - 6*k**2 - 12*k + 29*k.
3*k*(k - 1)**2
Let c(a) be the first derivative of -25*a + 8 + 35/2*a**3 + 15/4*a**2 - 3/2*a**5 - 55/8*a**4. Find q, given that c(q) = 0.
-5, -2/3, 1
Factor 74*x**2 - 2*x - 168 - 1377*x**3 + 94 + 1379*x**3.
2*(x - 1)*(x + 1)*(x + 37)
Let i = 43/64 + -1/192. Factor i*x**2 - 2/15*x**3 + 8/15 - 16/15*x.
-2*(x - 2)**2*(x - 1)/15
Let -16*g**2 - 93*g**3 - 12*g + 2*g**4 - 102*g**3 + 14 + 207*g**3 = 0. What is g?
-7, -1, 1
Let s(l) = -23*l**3 + 134*l**2 - 202*l + 50. Let f(x) = -70*x**3 + 403*x**2 - 605*x + 151. Let t(w) = -2*f(w) + 7*s(w). Factor t(z).
-3*(z - 4)*(z - 2)*(7*z - 2)
Let j(n) = 4*n**4 + 30*n**3 - 174*n**2 + 234*n - 92. Let k(g) = 8*g**4 + 59*g**3 - 349*g**2 + 469*g - 182. Let h(q) = 5*j(q) - 2*k(q). Factor h(t).
4*(t - 2)*(t - 1)**2*(t + 12)
Let u = -103 - -107. Let f(y) be the first derivative of -3/10*y**5 + 0*y - 6 + 0*y**2 + 0*y**u + 0*y**3 + 1/4*y**6. Find j such that f(j) = 0.
0, 1
Solve -108*j**2 - 2537*j**3 + 3850*j**4 + 1866*j**2 - 36 + 66*j - 292*j**2 - 2233*j**3 = 0.
-1/7, 2/11, 3/5
Let v(m) be the third derivative of -m**5/40 + 13*m**4/16 + 7*m**3/2 - 158*m**2. Suppose v(l) = 0. Calculate l.
-1, 14
Let p(b) be the first derivative of b**4/30 - 98*b**3/15 + 2401*b**2/5 - 235298*b/15 - 291. Suppose p(s) = 0. What is s?
49
Let r(y) = 5*y**3 - 63*y**2 + 147*y - 128. Let f be (4/4)/(2 + (-60)/28). Let b(d) = -9*d**3 + 127*d**2 - 293*d + 257. Let p(c) = f*r(c) - 3*b(c). Factor p(i).
-(2*i - 5)**3
Let a be (-1768)/1456 + 3/2. Determine d so that -8/7*d - a*d**2 - 6/7 = 0.
-3, -1
Let s(n) be the third derivative of n**10/378000 - n**9/18900 + n**8/7200 - 49*n**5/60 + 33*n**2. Let i(r) be the third derivative of s(r). Factor i(x).
2*x**2*(x - 7)*(x - 1)/5
Determine l, given that -132*l + 48 - 219/4*l**3 + 21/2*l**4 + 129*l**2 - 3/4*l**5 = 0.
1, 4
Let x(l) be the first derivative of -l**6/4 + 3*l**5/5 - l**3 + 3*l**2/4 + 158. Factor x(r).
-3*r*(r - 1)**3*(r + 1)/2
Let f(y) be the second derivative of -3*y**2 + 11*y + 9/10*y**6 - 7/4*y**4 - 11/2*y**3 + 33/20*y**5 + 0. Solve f(s) = 0 for s.
-1, -2/9, 1
Let l = 977/3 + -324. Suppose -j = -2*j + 3. Factor -l*g**3 - 7/3*g + j*g**2 + 1/3*g**4 + 2/3.
(g - 2)*(g - 1)**3/3
Let i(k) = -8*k**3 + 51*k**2 - 46*k - 9. Let t(b) = -17*b**3 + 101*b**2 - 94*b - 17. Let g(u) = -9*i(u) + 4*t(u). Let g(p) = 0. Calculate p.
-1/4, 1, 13
Let g(j) be the third derivative of j**5/15 + 2*j**4 - 58*j**2. Suppose g(u) = 0. What is u?
-12, 0
Let c(l) be the first derivative of 55 + 0*l + 0*l**2 - 1/5*l**5 - 1/18*l**6 + 1/3*l**3 + 1/12*l**4. Determine k, given that c(k) = 0.
-3, -1, 0, 1
Let r be ((15/(-4))/5)/((-33)/220). Let -4*c**5 + 5*c - 5*c - 2*c**4 + 2*c**2 + 2*c**r + 2*c**3 = 0. What is c?
-1, 0, 1
Factor -2048/3 + 128/3*x - 2/3*x**2.
-2*(x - 32)**2/3
Let u be (8/(-12))/(15/(-81)). Let b = -106/35 + u. Determine g, given that 0*g**3 + 0 - b*g**4 + 0*g + 0*g**2 - 2/7*g**5 = 0.
-2, 0
Let y(k) = -21*k**2 + 36*k + 22. Let q(l) = -84*l**2 + 144*l + 90. Let t(w) = 5*q(w) - 21*y(w). Factor t(h).
3*(h - 2)*(7*h + 2)
Let u(h) be the first derivative of 2/5*h**2 - 2/5*h**3 - 1/10*h**4 + 6/25*h**5 - 8 - 1/15*h**6 + 0*h. Let u(v) = 0. What is v?
-1, 0, 1, 2
Suppose -2*j - j = 4*h - 17, -14 = -4*h - 2*j. Let f(b) be the first derivative of -b**3 + 0*b**3 - 9*b + 114*b**2 + 5 - 120*b**h. Factor f(r).
-3*(r + 1)*(r + 3)
Let v be 18/135*((-49230)/52)/(-5). Let k = 127/5 - v. Factor -2/13*a**5 - k*a**3 - 4/13*a**4 + 0*a + 0 + 0*a**2.
-2*a**3*(a + 1)**2/13
Suppose 5*s - 5 = 4*x, x + 1 = -0*s + s. Let f be (1 - 45/50)/(s/8). Solve -2/15*w**3 + f*w**2 + 16/15 - 8/5*w = 0.
2
Factor -1/11 + 2/11*d - 1/11*d**2.
-(d - 1)**2/11
Let a(v) be the second derivative of -v**6/6 + v**5 + 95*v**4/6 + 50*v**3 + 135*v**2/2 - 98*v. Factor a(g).
-5*(g - 9)*(g + 1)**2*(g + 3)
Let v(k) be the first derivative of -k**5/28 - 47*k**4/56 - 9*k**3/7 - 8*k**2 - 4. Let c(f) be the second derivative of v(f). Suppose c(d) = 0. What is d?
-9, -2/5
Let p(b) be the first derivative of 0*b**3 + 0*b**5 + 0*b**2 + 0*b - 5/6*b**6 + 5/4*b**4 - 17. Find f, given that p(f) = 0.
-1, 0, 1
Suppose 23 = 7*m + 3 + 6. Determine h, given that 0*h + h**m + 1/3*h**3 + 0 = 0.
-3, 0
Let t = 214 - 210. Let b(w) be the second derivative of 0 - 1/15*w**6 - 4*w + 1/10*w**5 + 1/3*w**t + 0*w**2 + 0*w**3. Let b(s) = 0. What is s?
-1, 0, 2
Let m(p) be the second derivative of -p**6/60 + 3*p**5/40 + 5*p**4/24 - p**3/4 - p**2 + 2*p - 8. Determine b so that m(b) = 0.
-1, 1, 4
Let u(o) be the first derivative of -2*o**3/15 + 8*o**2/5 - 14*o/5 + 111. Determine m so that u(m) = 0.
1, 7
Let h(z) = 2*z**2 - 20*z - 20. Let b(d) = 6*d**2 - 41*d - 42. Let p(n) = -2*b(n) + 5*h(n). Factor p(w).
-2*(w + 1)*(w + 8)
Let x(i) be the second derivative of i**7/168 - 7*i**6/60 + 49*i**5/80 - 3*i**4/4 - 212*i. Determine q, given that x(q) = 0.
0, 1, 4, 9
Let n be (2 + -2)/(-3) + 2716/(-49). Let i = 56 + n. Suppose -2/7*t**3 + i*t**2 + 0 - 2/7*t = 0. What is t?
0, 1
Let l(i) be the first derivative of i**5/15 + 17*i**4/24 + 2*i**3/3 - i**2 + 11. Let r(j) be the second derivative of l(j). Find a such that r(a) = 0.
-4, -1/4
Let q = -1/2055 - -2062/14385. What is g in -11/7*g**3 - q*g - 3*g**2 + 1 + 2/7*g**4 = 0?
-1, 1/2, 7
Let n(s) be the first derivative of -s**4/15 - 2*s**3/3 + 10*s + 1. Let q(c) be the first derivative of n(c). Determine r, given that q(r) = 0.
-5, 0
Suppose h + 3*o + 48 = -38, 4*h = -5*o - 379. Let x = h + 104. Factor 0 + 0*f**2 + 2/9*f - 2/9*f**x.
-2*f*(f - 1)*(f + 1)/9
Let b = -15 + 9. Let h(q) = 2*q**3 + 10*q**2 + 20*q. Let g(o) = 4*o**3 + 19*o**2 + 39*o - 2. Let y(n) = b*g(n) + 13*h(n). Factor y(i).
2*(i + 1)**2*(i + 6)
Let a(s) = -4*s**3 - s**2 + 6*s - 6. Let z(h) = 5*h**3 + h**2 - 6*h + 8. Let r(y) = -4*a(y) - 3*z(y). Factor r(f).
f*(f - 2)*(f + 3)
Let n(h) be the third derivative of h**6/144 + 3*h**5/10 + 61*h**4/144 - 7*h**3/6 - 17*h**2 - h. What is x in n(x) = 0?
-21, -1, 2/5
Let b(q) be the second derivative of 3*q**5/80 - 3*q**4/4 - 27*q**3/8 - 21*q**2/4 - 89*q. Factor b(g).
3*(g - 14)*(g + 1)**2/4
Let v(r) = -r**3 + 3*r**2 + 20*r - 3. Let b be v(6). Determine m so that 0 - 16*m - 6*m**4 + b + 2*m**5 + 14*m**3 - 2*m**2 + 16*m**4 - 17 = 0.
-2, -1, 1
Let n be (1596/(-931))/((-21)/(-7) - 75/14). Factor -8/11 - 30/11*m + n*m**2.
2*(m - 4)*(4*m + 1)/11
Suppose -2*x + 0*x = 4*b - 56, 0 = 5*b - x - 56. Let j = b - 8. Factor 5*f**3 + f**2 - 3*f**5 + 3*f**j + 2*f**5 - 8*f**3.
-f**2*(f - 1)**3
Let d(y) = -y**2 - 5*y + 24. Let v be d(-8). Suppose 14*w - 47 = -19. Factor v - 1/5*u + 1/5*u**w.
u*(u - 1)/5
Let s(f) = -7*f**2 + 5*f + 3. Let q(v) = -3*v**2 + 2*v + 2. Let y(k) = 5*k - 3. Let i be y(1). Let o(j) = i*s(j) - 5*q(j). Determine r so that o(r) = 0.
-2, 2
Factor 0 + 0 - 671*k**3 + 18*k**2 + 44*k + 669*k**3.
-2*k*(k - 11)*(k + 2)
Let x = 3617 + -10847/3. Factor x*z + 0 + 2/3*z**2 - 2/3*z**3.
-2*z*(z - 2)*(z + 1)/3
Let j(g) = -4*g**3 + 8*g**2 - 2*g - 2. Let u(d) = -7*d**3 + 15*d**2 - 3*d - 5. Let o(b) = 5*j(b) - 3*u(b). Factor o(r).
(r - 5)*(r - 1)*(r + 1)
Let b = -7 - -10. Suppose -4*c - 5*c**b - 19*c + 30*c**2 - 20*c - 2*c = 0. What is c?
0, 3
Let r(f) be the second derivative of -2/7*f**4 + 0 - 27/7*f**2 + 3/140*f**5 + 3/2*f**3 + f. Solve r(b) = 0.
2, 3
Suppose 2*u + 6 = -0*u. Let f be (-1)/(1 + 4/u). Factor t**2 - 4 - f*t**2 + 2*t**2 + 4*t**2 + 2*t - 