*p**3 + 0 - 1/2*p.
-p*(p - 2)*(p - 1)*(p + 1)/4
Let c be (-51 - -18) + (-10920)/(-325). Suppose 3/5*s**4 + 0 - c*s**3 - 48/5*s**2 + 48/5*s = 0. What is s?
-4, 0, 1, 4
Suppose 4*c = 181 - 45. Solve -28*w + 42*w - 9*w - 9 + c*w - 12*w**2 = 0 for w.
1/4, 3
Let i(x) = -7*x**3 - 4*x + 15*x - 39 + 40 + 19*x**2. Let h(y) = -y**3 - y + 2. Let p(z) = 12*h(z) - 3*i(z). Factor p(b).
3*(b - 7)*(b + 1)*(3*b - 1)
Let h(c) be the second derivative of c**4/108 - 40*c**3/27 - 89*c**2/2 + 5687*c. Factor h(k).
(k - 89)*(k + 9)/9
Let i be 1*28*123776/47383. Factor 512/7 + 2/7*w**4 + 192/7*w**2 - i*w - 32/7*w**3.
2*(w - 4)**4/7
Let r(i) be the first derivative of i**6/39 - 62*i**5/65 + 279*i**4/26 - 1114*i**3/39 - 280*i**2/13 + 1176*i/13 - 1340. Let r(c) = 0. Calculate c.
-1, 1, 3, 14
Let z = 298899/20 - 14940. Let h(t) be the first derivative of -2/5*t**6 - 6/5*t**2 - z*t**4 - 4*t**3 + 0*t - 12/5*t**5 - 11. Factor h(r).
-3*r*(r + 2)**2*(2*r + 1)**2/5
Find c such that -5825*c**2 + c**3 + 6141*c**2 + 49298 + 16216*c + 9061*c = 0.
-157, -2
Suppose -8*d - 12*d + 60 = 0. Let t(f) be the second derivative of -1/20*f**4 + 0*f**2 - 3*f + 0 + 1/5*f**d. Factor t(j).
-3*j*(j - 2)/5
Let p = -38 + -3. Let b = -39 - p. Solve -6*u + b*u**4 + 6*u - 6*u - 9*u**2 + u**4 = 0.
-1, 0, 2
Suppose -9*i = -8*i - 30. Let j = 37 - i. Factor 12*v**4 + 5 - 36*v**2 + 3 - 5*v**3 - 5*v - j*v + v**3.
4*(v - 2)*(v + 1)**2*(3*v - 1)
Let h = 87977/5 + -17594. Factor 1/5*k + 7/5 - h*k**2 - 1/5*k**3.
-(k - 1)*(k + 1)*(k + 7)/5
Let a(i) be the third derivative of i**8/336 - 11*i**7/210 + 17*i**6/60 - 23*i**5/30 + 29*i**4/24 - 7*i**3/6 + 44*i**2 + 15. Factor a(x).
(x - 7)*(x - 1)**4
Let u be (1014/(-169))/(12/30*-5). Factor -1/4*b + 3/8*b**2 + 1/8*b**5 - 3/8*b**4 + 1/8*b**u + 0.
b*(b - 2)*(b - 1)**2*(b + 1)/8
Let j be (54 - (26 + 42)) + 57/4. Suppose -j*t**2 - 3/4*t + 9/2 = 0. What is t?
-6, 3
Solve 784*c + 4786*c**4 - 196 - 194 - 396*c**2 - 4784*c**4 = 0 for c.
-15, 1, 13
Suppose 14*l - 240 = -16*l. Suppose -7*r = l*r. Factor 0 + r*y + 2/11*y**3 + 6/11*y**2.
2*y**2*(y + 3)/11
Solve 435/2 - 75/2*t**3 + 6485/2*t**2 + 3475/2*t = 0 for t.
-1/3, -1/5, 87
Let z(o) be the third derivative of o**6/960 - 3*o**5/160 + o**4/96 + o**3 + 2*o**2 - 1023. Let z(p) = 0. What is p?
-2, 3, 8
Let f(m) = -5*m**2 - 17*m - 10. Let j(u) = 35*u**2 + 120*u + 70. Let b = 93 + -80. Let v = b - 28. Let a(i) = v*f(i) - 2*j(i). Let a(d) = 0. What is d?
-2, -1
Let s = 4076/19 - 12019/57. Let -r**2 - 2 - r**3 + 1/3*r**4 + s*r = 0. What is r?
-2, 1, 3
Let h(s) be the second derivative of 8/13*s**2 + 0 - 81*s + 8649/13*s**4 + 804357/130*s**5 + 372/13*s**3. Find y, given that h(y) = 0.
-2/93
Let g(p) = p**2 + 4*p + 3. Let j be g(-4). Let i be (-50)/((-17400)/63) + (-2)/(-29). Solve 0*w + 1/2*w**2 + 0 + 1/4*w**j - i*w**4 = 0 for w.
-1, 0, 2
Suppose -495*o + 1047 = -146*o. Let p(j) be the third derivative of 0*j - 1/30*j**5 + 1/18*j**4 + 0*j**o - 6*j**2 + 0 + 1/180*j**6. Let p(l) = 0. Calculate l.
0, 1, 2
Let a(b) = 2*b**2 - 64*b - 180. Let z(y) = -y**2 + 31*y + 90. Let s(l) = 2*a(l) + 5*z(l). What is p in s(p) = 0?
-3, 30
Let p = 1111 - 1120. Let b be p/(-8)*4/18*1. What is t in 25 + 5*t + b*t**2 = 0?
-10
Suppose -34*o = -45*o + 231. Let a(i) be the first derivative of o - 1/2*i**3 - 6*i - 3*i**2. Let a(q) = 0. What is q?
-2
Let z(v) be the third derivative of -v**6/108 + 53*v**5/270 - 59*v**4/54 - 56*v**3/27 + 966*v**2. Factor z(t).
-2*(t - 7)*(t - 4)*(5*t + 2)/9
Suppose 0 = 135*v - 32*v - 206. Find k such that 2 - 1/3*k**v + 5/3*k = 0.
-1, 6
Let r(a) be the first derivative of 0*a**2 + 4/3*a**3 + 12/5*a**5 + 0*a + 3*a**4 + 2/3*a**6 - 54. Factor r(f).
4*f**2*(f + 1)**3
Suppose 269 = -7*z + 1018. Let n = 107 - z. Find g, given that 2/3*g**5 + 2/3*g**2 - 2/3*g**4 + n*g + 0 - 2/3*g**3 = 0.
-1, 0, 1
Let r(z) = 17*z**2 - 279*z - 53. Let o(n) = 5*n**2 - n + 3. Let p(m) = -10*o(m) + 2*r(m). What is y in p(y) = 0?
-34, -1/4
Let s be (13 - (-4719)/(-132)) + 23. What is j in -s*j**2 - 3/2*j + 4 = 0?
-8, 2
Let x(s) = -s - 2. Suppose -17*f - 6*f = 23. Let y(h) = 38*h**2 - 8. Let c(m) = f*y(m) + 4*x(m). Suppose c(p) = 0. Calculate p.
-2/19, 0
Let l be (-40)/(-980) + (-2134)/(-539). Factor -2/7*i**l + 2/7*i**3 + 0*i + 12/7*i**2 + 0.
-2*i**2*(i - 3)*(i + 2)/7
Let z(v) be the first derivative of 1/46*v**4 + 14/69*v**3 + 10/23*v**2 + 0*v + 118. Suppose z(l) = 0. Calculate l.
-5, -2, 0
Suppose 34*f + f - 105 = 0. Factor 48*i**3 - 28*i**f - 2 - 23*i**3 + 3*i + i**2 + i**4.
(i - 2)*(i - 1)**2*(i + 1)
Let d = 879/967 + 1397667/3868. Factor -d*m + 1323/4 + 129/4*m**2 - 3/4*m**3.
-3*(m - 21)**2*(m - 1)/4
Suppose -5*s + 25 = 3*i, 9 = -s + 3*i - 4. Suppose -s*n - 4 = 0, -4*n = -t - 3*t + 24. Factor -v**3 - 3/2 - t*v - 7/2*v**2.
-(v + 1)**2*(2*v + 3)/2
Suppose 0 = -20*t - 74 + 1174. Let g be 12 + -2 + t/(-11). Factor -37/4*r**3 + 15/2*r**4 - 9/4*r**5 + 0 + g*r**2 - r.
-r*(r - 1)**2*(3*r - 2)**2/4
Let n be 5 - -7 - (-13 + 637/28). Let q(t) be the first derivative of n*t**3 + 21/8*t + 3/8*t**4 + 28 - 3/40*t**5 + 15/4*t**2. Let q(b) = 0. Calculate b.
-1, 7
Let u(t) be the first derivative of t**7/280 - t**6/40 + t**5/20 - 71*t**3/3 - 76. Let c(w) be the third derivative of u(w). Solve c(n) = 0.
0, 1, 2
Let v = 145 + -115. Let b(q) = 5*q**4 + 155*q**3 - 285*q**2 + 15*q. Let l(g) = g**4 - g**2 - g. Let u(n) = v*l(n) - b(n). Factor u(a).
5*a*(a - 3)**2*(5*a - 1)
Let c(o) be the first derivative of 2*o**3/7 + 5*o**2 - 104*o/7 - 1494. Suppose c(r) = 0. What is r?
-13, 4/3
Let l be (2 + (-82)/40)/(2/(-12*110/132)). Factor 0 - l*z**2 - 2*z.
-z*(z + 8)/4
Let q = 16039 - 16023. Let x(m) be the first derivative of q*m**2 - 2/3*m**3 + 33 - 30*m. Determine a so that x(a) = 0.
1, 15
Let n be ((-24)/(-60))/(1/60). Let t be ((-6)/21 + n/(-14))*-2. Factor -l**5 - t*l**4 - 4*l**3 + 2 + 7*l - 30*l**2 - 2*l + 32*l**2.
-(l - 1)*(l + 1)**3*(l + 2)
Let m = 504665 - 1009329/2. Solve -7/2*q + 3/2 - m*q**3 + 5/2*q**2 = 0.
1, 3
Find h such that 402 + 1011/5*h + 3/5*h**2 = 0.
-335, -2
Suppose 0 = -156*g - 325*g + 1924. Factor 14/5*i + 0 + i**2 - 8/5*i**3 + 1/5*i**g.
i*(i - 7)*(i - 2)*(i + 1)/5
Solve 1485/2 + 183/2*i**2 - 1017/2*i - 3/2*i**3 = 0 for i.
3, 55
Solve -3 - 234 - 179*j**2 - j**4 + 117 - 269*j - 31*j**3 = 0.
-24, -5, -1
Let y be 2/(-5) - (-1457)/155. Let w(f) be the second derivative of 5/4*f**5 + 0*f**2 + 0 + 5/63*f**7 + 5/6*f**3 - y*f - 55/36*f**4 - 1/2*f**6. Factor w(o).
5*o*(o - 1)**3*(2*o - 3)/3
Let g(u) be the third derivative of u**8/588 + 2*u**7/147 - 23*u**6/70 + 57*u**5/35 - 18*u**4/7 + 5019*u**2. Let g(k) = 0. What is k?
-12, 0, 1, 3
Let q(f) be the second derivative of -1/300*f**6 + 0 + 10/3*f**3 - 21*f - 1/5*f**4 - 1/25*f**5 + 0*f**2. Let m(w) be the second derivative of q(w). Factor m(t).
-6*(t + 2)**2/5
Let j(z) be the third derivative of -3*z**2 + 0*z**3 + 0*z + 0 + 1/180*z**6 - 1/630*z**7 + 0*z**4 + 0*z**5. Solve j(b) = 0 for b.
0, 2
Suppose j = 3*u - 9, 6*j = 9*j. Determine k, given that 16*k**2 - 4100 + 4100 + 4*k**u - 16*k - 4*k**4 = 0.
-2, 0, 1, 2
Suppose -34*k + 10*k = 168. Let b be (-1 - (-30)/(-12))/(1/k). Suppose -21*q + 9/2 + b*q**2 = 0. What is q?
3/7
Let z be ((-1)/1)/((-13)/(-351)). Let w = z + 74. Factor 103*y - 50*y - w*y + 45*y**2.
3*y*(15*y + 2)
Let k be -2*(-33)/(-154) + 42070/294. Factor k*d**2 + 4/9*d**4 + 1024/9 + 136/9*d**3 + 2176/9*d.
4*(d + 1)**2*(d + 16)**2/9
Suppose -5*h = -2*c, -1 = 8*h - 6*h - c. Factor -15*q**3 - 37*q - 38*q**2 - 6 - 6*q**2 + 6*q**3 - 8*q**2 - 8*q**h.
-(q + 6)*(3*q + 1)**2
Suppose -13*b - 38 = -129. Suppose -6*r**3 + b*r**4 - r**3 - 12*r + 16*r**3 - 40*r**2 = 0. Calculate r.
-3, -2/7, 0, 2
Factor 39*u**3 + u - 14*u - 38*u**3 - 3*u**2 + 4*u - 5.
(u - 5)*(u + 1)**2
Let j be (-2115)/11280*136/(-18) - (10/6 - 1). What is w in -j*w**2 - 7 - 5*w = 0?
-14/3, -2
Let t(j) be the second derivative of -j**5/80 - 205*j**4/8 - 42025*j**3/2 - 8615125*j**2 - 448*j - 2. Factor t(i).
-(i + 410)**3/4
Suppose 4*b + 24 = 797*r - 801*r, 3*b - 5*r = 30. Let f(j) be the first derivative of 18/35*j**5 - 26 + 6/7*j**4 + 8/21*j**3 + 0*j + b*j**2. Factor f(c).
2*c**2*(3*c + 2)**2/7
Let v(t) be the first derivative of 1/8*t**2 - 3/40*t**5 + 0*t + 1/4*t**4 - 7/24*t**3 + 99. Find q, given that v(q) = 0.
0, 2/3, 1
Let s(d) be the third derivative