*5 + 9*f**4 + 6*f + 18*f**2 + s.
3*f*(f + 1)**2*(f + 2)**2/2
Let d(c) = -4*c**3 + c**2 + c + 4. Let h(a) = 45*a**3 + 170*a**2 + 335*a + 130. Let b(y) = 10*d(y) + h(y). Suppose b(f) = 0. Calculate f.
-34, -1
Suppose -4*b + 10*b = -71*b - 39*b. Factor 3*f + 3/2*f**2 - 3/2*f**3 + b.
-3*f*(f - 2)*(f + 1)/2
Let r(k) = -8*k**2 - 43*k**2 - 33*k**2 - 584 - 572*k. Let b(y) = 13*y**2 + 88*y + 90. Let f(l) = 32*b(l) + 5*r(l). Find j, given that f(j) = 0.
-10, -1
Let z(o) = 6*o**3 + 51*o**2 + 54*o - 63. Let q be z(-7). Solve q*w + 4/3*w**2 + 1/3*w**4 + 0 + 4/3*w**3 = 0 for w.
-2, 0
Let m(b) be the second derivative of -3/20*b**4 + 6/5*b**2 + 0*b**3 - 48*b + 0 + 3/100*b**5. Factor m(u).
3*(u - 2)**2*(u + 1)/5
Suppose -y - 2 = -3*y. Let t(v) = 3*v**3 + 21*v**2 + 6*v. Let k(p) = 62*p**2 + 2*p**3 + p - p**3 - 61*p**2 - 23 + 23. Let b(i) = y*t(i) - 6*k(i). Factor b(l).
-3*l**2*(l - 5)
Suppose -4*m - 3*r - 63 = -225, 5*m + 3*r - 201 = 0. Find o, given that 3*o**2 - 3*o**4 + 11*o**2 - m*o**3 + 28*o**2 = 0.
-14, 0, 1
Let w be (38/6 + -1)*54/(-20). Let o = -886/65 - w. Let 30/13*v**2 + 4/13 - 2/13*v**3 - o*v**4 + 2*v = 0. What is v?
-1, -1/5, 2
Let g(b) be the third derivative of 11*b**6/80 + 6*b**5 + 891*b**4/16 - 85*b**3/2 - 2*b**2 + 109*b. Suppose g(x) = 0. What is x?
-17, -5, 2/11
Let t = -303024/5 - -60605. Suppose 6/5*a**3 - 13/5*a**2 - 4/5 - t*a**4 + 12/5*a = 0. What is a?
1, 2
Let g(c) = 2*c**2 - 17*c - 2105. Let r be g(-39). Factor -r - 12*a**2 + 240*a + 1/5*a**3.
(a - 20)**3/5
Let m(v) be the first derivative of -25*v**4/48 + 15*v**3/4 - 81*v**2/8 + 51*v - 41. Let j(b) be the first derivative of m(b). Factor j(h).
-(5*h - 9)**2/4
Suppose -32/9*a + 34/9 - 2/9*a**2 = 0. What is a?
-17, 1
Let z(w) be the first derivative of -3/4*w**4 - 1/5*w**5 - 2/3*w**3 + 0*w + 0*w**2 + 70. Find x, given that z(x) = 0.
-2, -1, 0
Solve -4/5*c**2 + 0 - 552/5*c = 0.
-138, 0
Suppose -10 = -3*f + f. Suppose -2*y + 2*z + 1 - 3 = 0, -4*y = f*z - 23. Suppose -5 + 73*q**y + 3*q**5 + 5 - 9*q**3 - 79*q**2 = 0. Calculate q.
-1, 0, 2
Let z(t) be the third derivative of t**7/420 - 3*t**6/40 + 11*t**5/120 + 17*t**4/8 - 5*t**2 - 2. Factor z(h).
h*(h - 17)*(h - 3)*(h + 2)/2
Let -82661*c**2 + 653*c + 3*c**3 + 83264*c**2 - 53*c = 0. Calculate c.
-200, -1, 0
Let k(v) be the second derivative of 3*v**5/4 + 13*v**4/2 - 65*v**3/2 - 21*v**2 + 3*v - 14. Suppose k(p) = 0. What is p?
-7, -1/5, 2
Let -19/2*q - 1/2*q**2 - 30 = 0. What is q?
-15, -4
Suppose -103 = -15*z + 107. Suppose 5*y - 24*h - z = -23*h, h + 8 = 2*y. Let 4/3*d**4 + 4/3 + 8*d**y + 16/3*d + 16/3*d**3 = 0. What is d?
-1
Let j = 370958 - 370958. Factor -3/5*p**3 + p**4 - 2/5*p**2 + j + 0*p.
p**2*(p - 1)*(5*p + 2)/5
Let g(o) be the second derivative of 92*o - 1/12*o**4 - 16*o**2 + 0 + 11/2*o**3. Find a such that g(a) = 0.
1, 32
Suppose 5*v - 4*v = 0. Let o be 160/76 - (-98)/(-931). Let 52*i**4 + 16/9*i**o + v + 0*i - 36*i**5 - 160/9*i**3 = 0. Calculate i.
0, 2/9, 1
Suppose -61*a + 64*a = -5*m + 13, -5*a + 2*m + 32 = 0. Find o such that -48*o**2 + 45*o**3 - 13*o + 6*o - 18*o + 46*o**4 - 20*o + 8*o**4 - a = 0.
-1, -2/3, -1/6, 1
Let m(u) = -u**3 + 7*u**2 + 7*u - 1. Let g be m(7). Factor -5*x**2 - g - 3*x**2 + 6*x**2 - 32*x - 2*x**2.
-4*(x + 2)*(x + 6)
Let p = 233 - 229. Suppose 243 - w**5 - 187*w**4 - 54*w**2 + p*w**3 + 14*w**3 - 81*w + 190*w**4 + 0*w**3 = 0. What is w?
-3, 3
Let m be -1*((160/(-64) - (-1)/2) + 2). Let b(s) be the first derivative of m*s**2 + 1/6*s**4 + 2/9*s**3 + 0*s + 1. Suppose b(j) = 0. Calculate j.
-1, 0
Let v(a) be the second derivative of -a**7/21 + 116*a**5/5 + 352*a**4/3 - 1840*a**3 + 6400*a**2 - 7147*a. Let v(p) = 0. Calculate p.
-10, 2, 16
Let l(c) be the third derivative of -c**6/480 + 13*c**5/60 + 393*c**4/32 + 945*c**3/4 - 8*c**2 + 7*c + 10. Factor l(r).
-(r - 70)*(r + 9)**2/4
Let o(z) = 14*z - 69. Let p(v) = 5*v - 21. Let n(x) = 2*o(x) - 7*p(x). Let j be n(1). Factor -19/9*g + 7/9*g**j - 2/3.
(g - 3)*(7*g + 2)/9
Let c(g) be the first derivative of 2*g**5/5 - 1229*g**4/2 - 4922*g**3/3 - 1231*g**2 + 7406. Factor c(d).
2*d*(d - 1231)*(d + 1)**2
Let q(j) be the second derivative of -1/6*j**4 - 2*j**3 - 54 + 3*j + 0*j**2. Factor q(u).
-2*u*(u + 6)
Let n = -410 - -558. Factor -592*y + 124*y**2 - 1029*y - 153*y - 2*y**3 - n*y.
-2*y*(y - 31)**2
Let o(h) be the third derivative of h**6/300 - 4*h**5/75 + h**4/5 - 2*h**2 + 2*h - 49. Factor o(z).
2*z*(z - 6)*(z - 2)/5
Suppose -2*a - 78 = a - 99. Let o(k) be the third derivative of -9*k**2 + 0*k**3 + 0*k + 1/30*k**4 + 1/50*k**5 - 1/525*k**a + 0*k**6 + 0. Factor o(q).
-2*q*(q - 2)*(q + 1)**2/5
Let t(h) be the first derivative of 13*h**4/24 + 25*h**3/9 + 31*h**2/12 - h + 436. Suppose t(m) = 0. What is m?
-3, -1, 2/13
Let r(u) = -339*u**2 - 2*u + 334*u**2 + u + 20 - 8. Let h(o) = 17*o**2 + 2*o - 37. Let q(f) = -2*h(f) - 7*r(f). What is i in q(i) = 0?
-5, 2
Suppose -5*o - 100 = 10*m, o - 405 + 445 = -4*m. Factor g**2 + o*g + 0 + 1/3*g**3.
g**2*(g + 3)/3
Factor -1/4*w**2 - 49/2*w + 50.
-(w - 2)*(w + 100)/4
Let j be 9/(10 + 8)*-2. Let a be 0/(2/(j + 0 - 1)). Factor -3/5*x**5 + a + 0*x - 9/5*x**4 - 9/5*x**3 - 3/5*x**2.
-3*x**2*(x + 1)**3/5
Factor -4057*q + q**2 + 2089*q + 160 - 2*q**2 + 2127*q.
-(q - 160)*(q + 1)
Let s = -56725/3 - -18909. Let v be (-10)/(-24) + (-1)/4. Suppose 2/3*d**2 + 0 + s*d + v*d**3 = 0. What is d?
-2, 0
Let g(h) be the second derivative of h**5/100 - 127*h**4/60 - 521*h**3/30 - 393*h**2/10 + 130*h - 3. Factor g(d).
(d - 131)*(d + 1)*(d + 3)/5
Suppose -96*q = 121*q + 4*q. Let l(x) be the second derivative of -1/30*x**3 - 1/10*x**2 + 30*x + q + 1/100*x**5 + 1/60*x**4. Factor l(b).
(b - 1)*(b + 1)**2/5
Let f(r) = -r**3 - 148*r**2 + 1083*r - 306. Let q be f(-155). Factor 0*c - 4/5*c**3 + 4/5*c**5 - 4/5*c**2 + 0 + 4/5*c**q.
4*c**2*(c - 1)*(c + 1)**2/5
Let x = -1299/8 + 1305/8. Let -3/2*z**3 + 3/4*z**5 - 6*z**2 + 3*z**4 + 3 + x*z = 0. What is z?
-4, -1, 1
Suppose -5*d + s - 3*s + 412 = 0, 2*d + 4*s = 168. Let -3*o**3 - 1035*o + o**3 + 155*o - d*o**2 - 800 = 0. Calculate o.
-20, -1
Suppose 9*u - 4*q = 14*u - 97, 2*u - 100 = -5*q. Factor 0 - 48/5*d**2 - 44/5*d**3 - 18/5*d - 2/5*d**u - 16/5*d**4.
-2*d*(d + 1)**2*(d + 3)**2/5
Let m(s) be the third derivative of 121*s**6/40 - 341*s**5/10 - 65*s**4/2 - 12*s**3 + 2874*s**2. Factor m(f).
3*(f - 6)*(11*f + 2)**2
Let f(m) be the first derivative of -5*m**3/3 + 6380*m**2 - 8140880*m - 6112. Find y, given that f(y) = 0.
1276
Let d(m) = -6*m**3 - 66*m**2 - 156*m - 141. Let x(f) = f**3 + f**2 - 4*f + 1. Let r(w) = d(w) + 9*x(w). Suppose r(v) = 0. What is v?
-2, -1, 22
Let w(g) be the first derivative of g**6/12 - g**5/8 - 5*g**4/6 + 5*g**3/3 - 30*g + 8. Let l(d) be the first derivative of w(d). Factor l(u).
5*u*(u - 2)*(u - 1)*(u + 2)/2
Let j = -417 - -492. Factor -160 - 18*q - 79*q**2 - 38*q + j*q**2.
-4*(q + 4)*(q + 10)
Let v = -5/1039 - -1159/24936. Let t(y) be the second derivative of -v*y**4 + 4*y + 0 - 7/12*y**3 - 3/2*y**2. Factor t(u).
-(u + 1)*(u + 6)/2
Let c = -10 - -19. Suppose 5*l + c = 24. Factor 3*j**l - 6*j**2 + 3*j + 175 - 175.
3*j*(j - 1)**2
Let v = 3063 + -1791. Suppose v = n + 1270. Solve -3/8*a**n - 1/8*a**4 + 0 - 1/8*a - 3/8*a**3 = 0 for a.
-1, 0
Find b, given that -2395/2*b + 15/2*b**2 - 400 = 0.
-1/3, 160
Let k(b) be the first derivative of 2*b**5/5 - 55*b**4/2 - 2*b**3 + 167*b**2 - 220*b - 3836. Suppose k(c) = 0. Calculate c.
-2, 1, 55
Factor -24*j**4 + 8*j**5 + 104*j**3 + 17*j**5 - 39*j**5 + 16*j**5 - 192*j**2 + 0*j**4 + 128*j.
2*j*(j - 4)**2*(j - 2)**2
Let u(d) be the second derivative of 4*d**3 + 12*d**2 - 3*d. Let s(x) = -x**2 - 26*x - 25. Let o(h) = -4*s(h) - 3*u(h). Factor o(m).
4*(m + 1)*(m + 7)
Let a(r) be the third derivative of r**6/24 - 5*r**5/12 + 5*r**4/4 - 3592*r**2. Factor a(d).
5*d*(d - 3)*(d - 2)
Let n(x) be the first derivative of -8/9*x**3 + 8/3*x**2 + 1 - 2/3*x**4 + 1/15*x**5 + 1/18*x**6 + 16/3*x. Let n(t) = 0. What is t?
-2, -1, 2
Let j be (484/286)/11 + 100/26. Let q(l) be the first derivative of 15*l**5 - 24 - 24/5*l + 78/5*l**2 - 15/4*l**j - 18*l**3. Factor q(p).
3*(p + 1)*(5*p - 2)**3/5
Suppose 75*l - 54 - 96 = 0. Let y be (15/20)/(82/16 - 1). Solve 16/11*n**l - 18/11*n + y = 0 for n.
1/8, 1
Suppose 4*p + 780 = -8*p. Let l = p - -76. Factor 3*x**2 + 2*x**3 + l*x**2 - 16*