p**2 + 424*p**t - 192*p**4 + 175*p - 147 - 595*p.
-3*(2*p + 1)**2*(4*p - 7)**2
Let l(b) be the third derivative of b**6/40 - 4*b**5/5 - b**4/8 + 8*b**3 + 64*b**2 - 10*b. Determine x, given that l(x) = 0.
-1, 1, 16
Let s be -4 + (148/(-185))/((-11)/65). Let z(o) be the first derivative of 1/22*o**4 - 14/33*o**3 + 32/11*o + s*o**2 + 2. Suppose z(t) = 0. Calculate t.
-1, 4
Let b(n) be the first derivative of 3*n**5/5 - 9*n**4/4 - 3*n**3 + 33*n**2/2 - 18*n - 566. Determine s so that b(s) = 0.
-2, 1, 3
Let s(r) be the second derivative of r**5/10 - 5*r**4/12 - 3*r**2/2 + 18*r. Let b be s(3). Factor 5*m**2 + b - 12*m**2 - 21*m - 5*m**2.
-3*(m + 2)*(4*m - 1)
Let i(s) = -8*s**2 + 176*s + 2064. Let f(h) = -15*h**2 + 348*h + 4131. Let x(j) = 5*f(j) - 9*i(j). Solve x(p) = 0.
-11, 63
Let k(t) = 10*t**3 + 27*t**2 + 3*t. Let x(n) = n**3 + 14*n**2 - 181*n + 4*n**3 + 182*n. Let a = -5 + -2. Let v(i) = a*x(i) + 4*k(i). Factor v(c).
5*c*(c + 1)**2
Let f = -300 + 321. Let h be -2 + ((-7)/f - (-156)/63). Solve h*r**2 - 1/7*r**3 - 1/7 + 1/7*r = 0.
-1, 1
Let n(r) be the first derivative of r**5/110 + 27*r**4/22 + 729*r**3/11 + 27*r**2/2 + r - 26. Let j(k) be the second derivative of n(k). Factor j(v).
6*(v + 27)**2/11
Factor 10*d - 30*d + 48*d + 68*d**3 - 28*d + 56*d**2.
4*d**2*(17*d + 14)
Let z be (48/(-704))/(((-33)/22)/((-8)/(-6))). Let a(o) be the first derivative of 4/11*o + 7 - z*o**3 - 1/11*o**2. Determine p so that a(p) = 0.
-2, 1
Let r(a) be the second derivative of 3*a**5/40 + a**4/2 - 8*a**3 + 614*a. Determine h so that r(h) = 0.
-8, 0, 4
Suppose -o - 8 = -3*o. Suppose 4*h - 4 = 4*y, -h = -3*y + 35 - 30. Suppose -12*k**3 + 4*k**3 + 10*k**2 - 2*k**3 - h*k + 2*k**3 + 2*k**o = 0. Calculate k.
0, 1, 2
Let q(s) be the first derivative of 0*s + 18*s**2 + 66 + 4/3*s**3. Factor q(p).
4*p*(p + 9)
Let l(w) be the first derivative of w**4/26 - 998*w**3/13 + 747003*w**2/13 - 248502998*w/13 - 199. Determine u, given that l(u) = 0.
499
Factor -564*a - 555*a - 249*a**2 + 1116*a.
-3*a*(83*a + 1)
Let o(q) be the third derivative of 2*q**7/105 + q**6 - 97*q**5/15 + 11*q**4 - 2627*q**2. Factor o(v).
4*v*(v - 2)*(v - 1)*(v + 33)
Factor -46/17*v**2 - 84/17*v - 2/17*v**3 + 0.
-2*v*(v + 2)*(v + 21)/17
Let x(q) = -55*q**4 - 124*q**3 - 13*q**2 + q. Let t(w) = 108*w**4 + 247*w**3 + 16*w**2 - 2*w. Let n(c) = 5*t(c) + 11*x(c). Find m such that n(m) = 0.
-1, 0, 1/65
Let q(g) = 22*g**2 + 6834*g - 5. Let b(o) = -8*o**2 - 3416*o + 2. Let f(s) = 5*b(s) + 2*q(s). Factor f(c).
4*c*(c - 853)
Let o be (14/896*-16)/(22/132 - 67/168). Factor o*x**3 + 268/13*x - 942/13*x**2 + 0.
2*x*(x - 67)*(7*x - 2)/13
Let b(r) be the third derivative of -r**5/120 - 3*r**4/16 - 7*r**3/6 - 562*r**2 - 1. Factor b(o).
-(o + 2)*(o + 7)/2
Find f, given that -80/3 - 50/3*f**3 + 106/3*f**2 - 26/3*f**4 + 52/3*f - 2/3*f**5 = 0.
-10, -4, -1, 1
Suppose -5*w**2 - 69*w**2 + 69*w**3 - w**2 - 5*w + 75 - 64*w**3 = 0. Calculate w.
-1, 1, 15
Let y be (-35284)/24 - (-14)/84. Let u = -1468 - y. Solve 0 + 2/3*d**2 + u*d**4 - 2*d**3 + 0*d - 2/3*d**5 = 0.
0, 1
Suppose -131*q + 3978 = 1537*q - 342*q. Factor -1/2*d**q - 1/3*d + 0 + 5/6*d**2 + 1/6*d**5 - 1/6*d**4.
d*(d - 1)**3*(d + 2)/6
Let i be (-12636)/(-390) + 4/(-10). Factor -7 - y**3 - i*y + 27 - 1456*y**2 + 1469*y**2.
-(y - 10)*(y - 2)*(y - 1)
Suppose 10*y - 401*y + 76*y + 945 = 0. Factor 0 - 3/2*u**2 + 15/2*u**y + 3/2*u**4 - 15/2*u.
3*u*(u - 1)*(u + 1)*(u + 5)/2
What is p in -59/7*p**2 - 1/7*p**4 - 33/7*p**3 - 4*p + 1/7*p**5 + 0 = 0?
-4, -1, 0, 7
Let p be -4 - (-45 + (7 - 4)). Factor -p*d**3 + 0*d**5 - 8 - 33*d + 243*d**4 - 255*d**4 - d**5 - 52*d**2.
-(d + 1)**4*(d + 8)
Suppose 5*q = 8450 - 740. Suppose q = -r + 7*r. Let 257 - 4*y - r + 4*y**2 = 0. What is y?
0, 1
Let d be 1536/(-800) - ((-12)/(-75))/2. Let f be (3/d)/(357/(-102)). Find c such that -f + 24/7*c - 3*c**2 = 0.
1/7, 1
Let k(a) be the second derivative of -a**6/30 + 413*a**5/20 - 19043*a**4/4 + 2683967*a**3/6 - 2571353*a**2 - 37*a + 64. Factor k(j).
-(j - 137)**3*(j - 2)
Let c(a) be the first derivative of 0*a + 59/6*a**2 + 221 + 1/9*a**3. What is h in c(h) = 0?
-59, 0
Let a(r) be the second derivative of r**7/21 + 58*r**6/15 + 419*r**5/5 - 86*r**4/3 - 2407*r**3/3 + 1682*r**2 - 1303*r - 2. Suppose a(q) = 0. Calculate q.
-29, -2, 1
Suppose 121 = -4*f + 133. Let 4*h**3 - 8*h**3 - 8*h**f + 8*h**2 + 4*h**4 = 0. Calculate h.
0, 1, 2
Suppose 0 = 22*r - 7*r - 45. Let g(b) = 6*b - 13. Let t be g(r). Let -6*c**4 - 140*c**t + 3*c**3 + 143*c**5 + 0*c**4 = 0. What is c?
0, 1
Let f(t) be the third derivative of t**5/40 + 79*t**4/4 + 6241*t**3 - 55*t**2 + 11. Factor f(u).
3*(u + 158)**2/2
Let v(f) = -125*f**2 - 9435*f - 314175. Let j be 3 - ((-2)/(-9) - (-13000)/225). Let y(a) = -9*a**2 - 674*a - 22441. Let g(u) = j*y(u) + 4*v(u). Factor g(m).
-5*(m + 67)**2
Suppose 10 - 132 = -2*b - 2*a, -5*b = -5*a - 255. Suppose 16*q = b + 200. Factor 32/3 + 8*g**2 - 4/3*g**3 - q*g.
-4*(g - 2)**3/3
Let g(r) = -r**2 + 22*r + 25. Let c be g(23). Solve -1345*v**2 - 16 - 4*v**3 + 659*v**2 + 660*v**c - 44*v = 0.
-4, -2, -1/2
Let r(p) be the first derivative of -p**4/4 + 320*p**3/3 - 12800*p**2 - 657. Factor r(f).
-f*(f - 160)**2
Factor -438*q**2 + 2*q**4 + 111 + 38 + 39*q**3 + 101*q**3 - 149.
2*q**2*(q - 3)*(q + 73)
Let c(l) = -399*l + 167982. Let f be c(421). Let 75/8 - 3/2*t**f - 1/8*t**4 - 5/2*t - 21/4*t**2 = 0. What is t?
-5, -3, 1
Let p = -11978 - -11978. Factor p + 0*d**2 - 3/7*d**5 + 3/7*d**4 + 6/7*d**3 + 0*d.
-3*d**3*(d - 2)*(d + 1)/7
Let s(u) = -2*u**4 - 33*u**3 + 45*u**2 + 196*u + 114. Let c(a) = -2*a**4 - 32*a**3 + 44*a**2 + 196*a + 114. Let q(t) = 3*c(t) - 4*s(t). Factor q(b).
2*(b - 3)*(b + 1)**2*(b + 19)
Suppose -4*n = 4*m, 0*n + 3*n + 2*m - 1 = 0. Suppose 0 = 5*f + 5, -2*a - 2*f + 3 = n. Factor -j + 2*j**2 - 3*j - j**2 + j**a.
2*j*(j - 2)
Let t(s) = 14*s + 14. Let b(a) = a**2 - a - 2. Let v(w) = -w**3 + 20*w**2 - 37*w + 20. Let p be v(18). Let n(l) = p*b(l) + t(l). Let n(m) = 0. Calculate m.
-5, -1
Let p = -480472 + 480472. Factor -2/3*r**4 - 8/3*r**3 + p + 0*r + 10/3*r**2.
-2*r**2*(r - 1)*(r + 5)/3
Let h(d) be the first derivative of 9*d**3 + 345*d**2/2 - 78*d + 1636. Factor h(m).
3*(m + 13)*(9*m - 2)
Let f(i) be the third derivative of i**5/60 + 5*i**4/24 - i**3/2 + 15*i**2. Let s be f(-6). Factor 6 - 4*u**2 - 8 + 26 + s*u + u.
-4*(u - 3)*(u + 2)
Suppose 19*a + 29 + 66 = 0. Let y(i) = -3*i**2 - 20*i - 22. Let k be y(a). Suppose 1/6*f**5 - 1/6*f**2 + 0 - 1/6*f**k + 0*f + 1/6*f**4 = 0. Calculate f.
-1, 0, 1
Factor -2*p**3 - 65*p**2 - 69*p**2 + 64*p - 240*p + 42*p**2 + 0*p**3.
-2*p*(p + 2)*(p + 44)
Let p(u) = 33. Suppose 0 = -2*f - 0*w - 4*w + 20, -5*f - 4*w + 26 = 0. Let c(v) = -v**2 + v + 34. Let r(x) = f*p(x) - 3*c(x). Find o, given that r(o) = 0.
-3, 4
Let 1/6*a**2 + 1/3*a - 88 = 0. What is a?
-24, 22
Let k(n) be the third derivative of -10/7*n**3 + 0*n - 3/280*n**6 + 66*n**2 - 1/20*n**5 + 9/14*n**4 + 0. Solve k(c) = 0 for c.
-5, 2/3, 2
Let b be 15/(-5) - -7 - -5. Suppose -4*n = -o + 10, 5*n = 5*o - 11 - b. Factor 4/7 - 2/7*c**o + 2/7*c.
-2*(c - 2)*(c + 1)/7
Let p(w) = -w**2 + w + 1. Let n = -56 + 56. Let q(m) = 12*m - 16*m + 13*m + n*m**2 - 4*m**2. Let g(b) = 5*p(b) - q(b). Factor g(l).
-(l - 1)*(l + 5)
Let u(p) be the first derivative of 40 + 9/22*p**4 + 8/11*p**2 + 0*p + 4/3*p**3. Factor u(c).
2*c*(c + 2)*(9*c + 4)/11
Let i(n) = 17*n**5 + 33*n**4 + 3*n**3 - 19*n**2 + 4. Let f(o) = -69*o**5 - 134*o**4 - 13*o**3 + 75*o**2 - 2*o - 16. Let c(z) = 2*f(z) + 9*i(z). Factor c(q).
(q + 1)**3*(3*q - 2)*(5*q - 2)
Suppose 8 = f + 3*f. Suppose 10*k + 7 = 14*k + q, 5*k - 5*q - 40 = 0. Find u such that -k*u**f - 16 + 8*u - u**2 + 16 = 0.
0, 2
Let o(k) be the first derivative of 2*k**7/105 + k**6/10 + k**5/5 + k**4/6 + 2*k**2 + 5*k - 61. Let g(i) be the second derivative of o(i). Factor g(p).
4*p*(p + 1)**3
Let p(n) be the first derivative of -5*n**3 + 0*n - 15/4*n**4 - 5/2*n**2 - 52 - n**5. Find z such that p(z) = 0.
-1, 0
Factor 1084*d**2 - 542*d**2 - 546*d**2 + 48*d - 1220 + 216*d.
-4*(d - 61)*(d - 5)
Let x = 48099 - 48099. Let s = 2 + 0. Find i such that 2/3*i - 1/3*i**s + x = 0.
0, 2
Let u(z) = -4*z**3 + 200*z**2 - 60*z - 6. Let i(c) = -12*c**3 + 609*c**2 - 178*c - 19. Let a(x) = -6*i(x) + 19*u(x). Factor a(h).
-2*h*(h - 36)*(2*h - 