/7 + 10/7*d - s*d**2.
-2*(d - 2)*(3*d + 1)/7
Factor -29/2*u**3 + 147*u**2 + 704 - 592*u + 1/2*u**4.
(u - 11)*(u - 8)**2*(u - 2)/2
Factor 148/5 + 509/5*k**2 - 7/5*k**3 + 664/5*k.
-(k - 74)*(k + 1)*(7*k + 2)/5
Factor 2/5*p**3 - 4/5*p**2 + 252/5 - 18*p.
2*(p - 6)*(p - 3)*(p + 7)/5
Let n(p) = -32 + 15*p - 13 + 34 - 14. Let y = -2 + -4. Let i(m) = -m**2 + 15*m - 26. Let w(u) = y*n(u) + 5*i(u). Suppose w(h) = 0. Calculate h.
-4, 1
Let x = -157 + 160. Factor -68*c**2 + 0*c + 25*c**x + 33*c**2 - 40*c + 20.
5*(c - 2)*(c + 1)*(5*c - 2)
Let d be 9*(-6)/(-270)*10. Solve -66*l - 72 + 4*l**4 + 24*l**3 - 38*l + 12*l**d - 24 = 0.
-4, -3, -1, 2
Let j(v) be the second derivative of v**6/180 + v**5/20 - 25*v**4/24 + 49*v**3/9 - 13*v**2 + 1223*v - 2. Suppose j(h) = 0. Calculate h.
-13, 2, 3
Solve 2/3*c**3 - 4 + 4/3*c**4 - 38/3*c - 28/3*c**2 = 0.
-2, -1, -1/2, 3
Suppose 258*i + 16 = 262*i. Let y be 4/3*i + (-2 - -2). Factor y*p**3 + 8*p**2 + 4/3 + 16/3*p + 4/3*p**4.
4*(p + 1)**4/3
Suppose 4*v = -3*i + 38, -3*v - 512*i + 36 = -509*i. Suppose -26/7 + 24/7*f + 2/7*f**v = 0. Calculate f.
-13, 1
Determine z, given that -124/5*z**2 + 4/5*z**4 - 88/5*z - 32/5*z**3 + 0 = 0.
-2, -1, 0, 11
Factor 0 - 208/5*j + 2/5*j**3 - 20*j**2.
2*j*(j - 52)*(j + 2)/5
Let 25/3*u - 40/3*u**2 + 0 + 2*u**3 + 1/3*u**5 + 8/3*u**4 = 0. What is u?
-5, 0, 1
Let r be 3/(((-8)/(-2) - (-720)/(-288))*1). Find a, given that 16/7*a - 2/7*a**2 - r = 0.
1, 7
Let l(n) be the third derivative of 1/480*n**5 + 11/96*n**4 + 0*n + 42*n**2 + 0 + 0*n**3. Factor l(w).
w*(w + 22)/8
What is l in 881292 + 1084*l + 1/3*l**2 = 0?
-1626
Suppose 4/7*f**5 + 1048/7*f**2 - 176/7*f**4 - 656/7*f - 1376/7 + 148/7*f**3 = 0. Calculate f.
-2, -1, 2, 43
Factor -19*l**2 + 3790*l - 4094*l + 4*l**4 - 78*l**2 - 300 + 304*l**3 + 393*l**2.
4*(l - 1)*(l + 1)**2*(l + 75)
Find g such that 5/4*g**2 + 45 + 15*g = 0.
-6
Let y be (-21)/(-15) - 12/20. Let l = -25433 - -25435. Factor y*k - k**3 - 1/5*k**4 + 8/5 - 6/5*k**l.
-(k - 1)*(k + 2)**3/5
Let c(j) be the third derivative of 0*j + 4*j**2 - 6 + 28/15*j**3 + 11/150*j**5 + 8/15*j**4 + 1/300*j**6. Suppose c(v) = 0. Calculate v.
-7, -2
Let f(s) = s**3 - 5*s**2 + 7*s - 30. Let z be f(5). Let -17*h - 75*h**2 - 81*h**4 - 33*h**2 - 150*h**3 - 7*h - 15*h**z = 0. What is h?
-2, -1, -2/5, 0
Let f be 1635/218*14/3. Let d be (-72)/(-120) - f/100. Factor 1/2*p + 0 + 1/4*p**4 + 1/4*p**5 - 3/4*p**3 - d*p**2.
p*(p - 1)**2*(p + 1)*(p + 2)/4
Let o(d) be the third derivative of -1/40*d**6 + 0 + 0*d**5 + 0*d - 3*d**3 + 17*d**2 + 7/8*d**4. Let o(q) = 0. Calculate q.
-3, 1, 2
Let v(x) be the first derivative of -x**3/24 - 217*x**2/16 - 27*x - 3065. Factor v(h).
-(h + 1)*(h + 216)/8
Factor -3/5*w**3 + 2208/5 + 114/5*w**2 + 1056/5*w.
-3*(w - 46)*(w + 4)**2/5
Let q(k) = 2*k - 32. Let u be q(18). Find p, given that p**2 + 76*p**2 - 43*p**4 + 22*p**u - 24*p + 6*p**3 + 7*p**2 = 0.
-2, 0, 2/7, 2
Let q(y) = -43*y**3 - 7*y**2 + 15*y - 7. Let b(w) = 6*w**3 - 2*w**2 + w + 1. Let m(n) = -14*b(n) - 2*q(n). Find f such that m(f) = 0.
-22, 0, 1
Let b(s) = s**2 + s + 39. Let c be b(-5). Suppose 5*w = -c + 159. Suppose -w*r**2 + 233*r**5 + 10*r**4 - 7*r**3 - 228*r**5 - 8*r**3 + 20*r = 0. What is r?
-2, 0, 1
What is y in 0 + 3/4*y**3 - 159*y**2 - 639/4*y = 0?
-1, 0, 213
Let -41782*n**2 - 195*n - 441*n - 2 - 1137*n**3 - 8138*n**2 + 103537*n**3 = 0. Calculate n.
-1/160, 1/2
Let p(j) be the second derivative of j**6/6 + 33*j**5/4 + 100*j**4 + 1480*j**3/3 + 960*j**2 + 1140*j - 1. Factor p(x).
5*(x + 1)*(x + 4)**2*(x + 24)
Let u(z) be the second derivative of -z**4/60 - 9*z**3/2 + 497*z**2/5 + 3*z + 76. Factor u(w).
-(w - 7)*(w + 142)/5
Let u(t) be the third derivative of t**5/150 + 151*t**4/10 + 68403*t**3/5 - 6*t**2 + 699*t. Factor u(q).
2*(q + 453)**2/5
Find i, given that 2/11*i**4 - 1692/11*i**2 + 0 + 270/11*i**3 + 0*i = 0.
-141, 0, 6
Let u(q) be the second derivative of 5*q**7/84 + 7*q**6/12 - q**5 + 1032*q. Suppose u(v) = 0. What is v?
-8, 0, 1
Suppose 13*n + 31 = 16*n - 2*f, 11*f + 136 = 5*n. Factor 3/2*y**4 + 2*y**2 + 0 + 0*y - n*y**3 - 1/4*y**5.
-y**2*(y - 2)**3/4
Suppose w = 2*h + 3*h + 9, 0 = -2*w - 5*h + 3. What is c in 38 + 35*c**w + 2 - 30*c**5 - 61*c - 94*c - 65*c - 150*c**2 + 175*c**3 = 0?
-2, -1, 1/6, 2
Let l = -142 - -157. Let v be 1*(-6 + l) - 5. Let -2/3*g**5 + 0*g**2 + 2*g**v + 0*g + 0 - 4/3*g**3 = 0. Calculate g.
0, 1, 2
Let c(i) = 840*i + 165. Let l be c(7). Let p be 12 + l/(-1001) - (-1)/(-7). Let 0 - 8/11*u - 126/11*u**3 + p*u**2 = 0. What is u?
0, 2/9, 2/7
Factor -7/6*r**2 - 3*r + 0 - 1/6*r**4 + 5/3*r**3.
-r*(r - 9)*(r - 2)*(r + 1)/6
Let c(q) = -4*q**3 - 1160*q**2 - 108300*q - 3429500. Let j(s) = -s**2. Let b(o) = -c(o) + 20*j(o). Factor b(f).
4*(f + 95)**3
Let i(n) be the third derivative of -13/300*n**6 - 1/3*n**5 + 0*n + 0 + 8/15*n**3 - 11/15*n**4 + 5*n**2. Factor i(v).
-2*(v + 2)**2*(13*v - 2)/5
Let l(t) = 17*t**3 + 133*t**2 + 194*t - 38. Let h(n) = 35*n**3 + 266*n**2 + 389*n - 81. Let d(x) = -2*h(x) + 5*l(x). Suppose d(w) = 0. What is w?
-7, -2, 2/15
Factor -108*g**3 - 576*g**2 - 78*g**3 + 3*g**4 - 582*g + 1177 - 1372.
3*(g - 65)*(g + 1)**3
Let g = 251 + -248. Factor 4*j**2 + 6*j**3 - g*j**3 + j**3 - 12*j - 16 - 4*j.
4*(j - 2)*(j + 1)*(j + 2)
Let c(z) be the second derivative of z**6/90 - z**5/30 - 20*z**4/9 + 1787*z. Factor c(h).
h**2*(h - 10)*(h + 8)/3
Let b(l) = 7*l + 21. Let z be b(4). Find t such that 117*t - 63*t + t**2 + 6 - z*t = 0.
-3, -2
Let k = 17068 + -17062. Let v(h) be the first derivative of -16/5*h**5 - 6*h**4 + 7 - 2*h**2 + 0*h - 16/3*h**3 - 2/3*h**k. Determine p, given that v(p) = 0.
-1, 0
Suppose -122*o + 1500 = 378*o. Factor -2/3*z**o + 28*z**2 + 0 - 294*z.
-2*z*(z - 21)**2/3
Let l = 104 - -19. Let j = -36 + l. Factor 117 - 5*v**2 + 5*v - j + 0*v**2.
-5*(v - 3)*(v + 2)
Let f(v) = -v**2 + 17*v + 12. Let k(w) be the first derivative of 3*w**2/2 + w - 196. Let x(q) = f(q) - 3*k(q). Solve x(j) = 0.
-1, 9
Let b(k) be the first derivative of -k**3/8 + 1233*k**2/8 - 2599. Find z such that b(z) = 0.
0, 822
Let s = 1760985/7 + -251569. Let s*b**2 + 244/7*b + 7442/7 = 0. What is b?
-61
Suppose 155*d - 172*d = -1989. Solve -135*o**4 - d*o**2 - 180 + 177*o + 519*o - 1600*o**3 + 66*o**5 + 397*o**3 - 41*o**5 + 50*o**5 = 0 for o.
-3, -1, 2/5, 5
Suppose 5*a**2 - 6*a + 329*a - 1926*a + 8820 - 7222*a = 0. What is a?
1, 1764
Let y = 671 - 677. Let x be (-7 - -4)/y + (-6)/20. Factor 0 - x*f - 4/5*f**2 - 3/5*f**3.
-f*(f + 1)*(3*f + 1)/5
Let t(o) be the third derivative of -o**5/210 + 9*o**4/28 + 58*o**3/21 + 2250*o**2. Solve t(k) = 0 for k.
-2, 29
Let d(j) = 2*j**4 - 2*j**2 + j - 1. Let x(g) = -1034*g**4 + 1024*g**3 - 374*g**2 + 59*g + 1. Let v(n) = -5*d(n) - x(n). Factor v(t).
4*(4*t - 1)**4
Let l(d) = 263*d**3 - 1064*d**2 + 1252*d - 272. Let z(p) = 175*p**3 - 710*p**2 + 835*p - 180. Let u(f) = 5*l(f) - 8*z(f). Factor u(v).
-5*(v - 2)**2*(17*v - 4)
Let f(y) be the first derivative of -y**4/4 + 2*y**3 - 5*y**2/2 + 3*y + 20. Let u be f(5). Factor -2*o**3 - 10*o**2 - o**3 - o**u + 11*o**2.
-o**2*(4*o - 1)
Let z be (-1 - ((-819)/208 - (-1)/(-16)))*1. Find u, given that 20/9*u**z + 8/3 + 100/9*u - 32/3*u**2 = 0.
-1/5, 2, 3
Suppose -77*a - 27180 = -3035*a - 62*a. Factor 3/2*t**4 + 0*t**3 + 0 - 21/2*t**2 - a*t.
3*t*(t - 3)*(t + 1)*(t + 2)/2
Suppose -16*q + 768 = 32*q. Suppose -k + 5*z - q = 0, -k + 6*z = 3*z + 8. Suppose -8/5*m**k + 0*m**2 + 0*m + 2/5*m**5 + 8/5*m**3 + 0 = 0. What is m?
0, 2
Let k = 292/915 + 344/2745. Suppose -k*m**2 - 16/9 - 20/9*m = 0. What is m?
-4, -1
Let p(q) = -q**3 + 51*q**2 - 194*q + 12794. Let o be p(52). Factor 3/2*x**2 + 0*x - o - 1/2*x**3.
-(x - 2)**2*(x + 1)/2
Let a(w) be the second derivative of -1/120*w**6 + 0*w**2 + 0*w**3 + 0 - 1/16*w**4 - 1/168*w**7 + 1/16*w**5 - 25*w. Factor a(c).
-c**2*(c - 1)**2*(c + 3)/4
Suppose -53*b + 62*b - 15 = 12. Let q(u) be the second derivative of -2/39*u**b + 1/78*u**4 - 12*u + 0*u**2 + 0 + 1/130*u**5. Factor q(k).
2*k*(k - 1)*(k + 2)/13
Let m be ((-3957)/(-9))/((-3)/(10 + -7)). Let d = 440 + m. Factor -v + d*v**2 + 2/3.
(v - 2)*(v - 1)/3
Suppose 12*z + 21 = 15*z + 2*w, -3*w = z - 21. Let g(v) be the first derivative of 0*v + 1/4*v**4 - 1/8*v**2 - 1/4*v**z + 9. Factor g(m).
m*(m - 1)*(4*m + 1)/4
Solve -3189*y**3 + y**4 - 122*y**3 + 3656445*y**