q + 1/3*q**3 + 1/6*q**4. Let y(r) be the first derivative of d(r). Factor y(j).
2*(j + 1)**2
Let a be (-40)/(-120) + (6 - 1) + -1 + 1. Factor 4/3*j**2 + 0*j - a.
4*(j - 2)*(j + 2)/3
Let x(b) be the second derivative of -b**5/30 - 5*b**4/3 + 3*b**2 - 12*b - 1. Let h(q) be the first derivative of x(q). Factor h(o).
-2*o*(o + 20)
Let f be (-1 - (-1 + -2))/(-12)*(-224)/168. Factor f*k**2 + 2 - 20/9*k.
2*(k - 9)*(k - 1)/9
Solve -2002*a - 1995*a + 3997*a - 2215*a**2 + 172*a**2 - 3*a**3 = 0 for a.
-681, 0
Let c(m) = -16*m**4 - 178*m**3 - 2130*m**2 + 172*m + 2122. Let k(g) = -18*g**4 - 177*g**3 - 2133*g**2 + 170*g + 2123. Let p(r) = -7*c(r) + 6*k(r). Factor p(w).
4*(w - 1)*(w + 1)*(w + 23)**2
Let a be ((-5)/8)/(14 - 11 - (-238)/(-56)). Determine z, given that a*z**2 - 1/2*z - 6 = 0.
-3, 4
Let m(y) be the third derivative of y**8/1344 - 9*y**7/140 + 71*y**6/32 - 571*y**5/15 + 328*y**4 - 1536*y**3 + 6*y**2 - 61. Factor m(n).
(n - 16)**3*(n - 3)**2/4
Let o(t) be the third derivative of 0*t - 8/15*t**3 - 64*t**2 - 1/150*t**5 + 0 + 3/20*t**4. What is z in o(z) = 0?
1, 8
Find p, given that 173*p + 12*p**2 + 462 - 994*p - 1030*p = 0.
1/4, 154
Suppose 65*x - 80 = 61*x. Let -4*i + 5*i**2 - i - x + 5*i = 0. Calculate i.
-2, 2
Let n = 81 + -78. Suppose -8*l**4 - 15*l**2 + 33*l**5 - 36*l**5 + 23*l**4 + 2*l**n + l**3 = 0. Calculate l.
-1, 0, 1, 5
Suppose -12 = -70*w + 68*w. Let g(s) = -w*s + 3*s**2 - 9*s + 2*s - 4*s. Let v(z) = z**2 - 6*z. Let q(a) = -6*g(a) + 17*v(a). Find f such that q(f) = 0.
0
Let s = 2222 + -2218. Let y(t) be the third derivative of 25*t**2 + 0 + 1/600*t**6 - 1/6*t**3 + 0*t + 11/120*t**s - 7/300*t**5. Factor y(w).
(w - 5)*(w - 1)**2/5
Let 0 + 1/3*j**3 + 404*j**2 + 1211/3*j = 0. Calculate j.
-1211, -1, 0
Suppose -2495*j**2 + 1440600 - 651*j**2 - 3283508*j - 5994*j**2 - 312112*j - 15*j**3 - 5554*j**2 = 0. What is j?
-490, 2/5
Let i = -1236475/12 - -309130/3. Factor -15/4 + 5/4*z**3 - 5/4*z + i*z**2.
5*(z - 1)*(z + 1)*(z + 3)/4
Let p be (8*(-13)/832)/(2/(-32)). Let l(s) be the first derivative of 3/32*s**4 + 0*s - 1/8*s**3 + 0*s**p + 3. Factor l(m).
3*m**2*(m - 1)/8
Let s = -88419 + 88419. Suppose s - 1/5*v**2 - 13/5*v = 0. What is v?
-13, 0
Let w(r) = 155*r**2 + 206*r + 1647. Let h(u) = 582*u**2 + 825*u + 6588. Let g(i) = 4*h(i) - 15*w(i). Factor g(b).
3*(b + 9)*(b + 61)
Let i(z) = 3*z + 167. Let r be i(25). Let j = r - 1208/5. Factor 0 + 2/5*d**4 + 2/5*d**3 + 0*d - 2/5*d**5 - j*d**2.
-2*d**2*(d - 1)**2*(d + 1)/5
Let p = -2/41203 + 41235/659248. Let v(i) be the first derivative of 0*i**2 + 40 - p*i**4 + 0*i + 0*i**3 - 1/40*i**5. Let v(s) = 0. What is s?
-2, 0
Let s(v) = 4*v + 119. Let m be s(-29). Factor 36*o**2 + 4*o**m + o**3 + o**3 + 15*o**2 + 21*o - 24.
3*(o + 1)*(o + 8)*(2*o - 1)
Let g = -122299/2 - -62337. Let o = -1183 + g. Let 3*n - o - 3/8*n**3 + 3/8*n**2 = 0. What is n?
-3, 2
Let p(x) be the second derivative of -x**5/4 - 15*x**4/2 - 50*x**3 - 140*x**2 - 5*x - 7. Determine t so that p(t) = 0.
-14, -2
Let b(z) = 6*z + 2. Let p be b(0). Suppose -4*k**3 + 28 + 8700*k - 4 + 32*k**p - 8752*k = 0. Calculate k.
1, 6
Let q(d) be the second derivative of -d**6/10 - 9*d**5/5 - 21*d**4/4 - 5*d**3 - 2*d - 292. Factor q(y).
-3*y*(y + 1)**2*(y + 10)
Suppose -4*q - 13 = -4*w - 7*q, -4*q - 8 = -w. What is a in -w*a + 8*a + 3*a + 3*a + 5*a**2 = 0?
-2, 0
Let n be (22/110)/((-1)/(-55)). Suppose 32 + 339*s**2 + 6 + 168*s**2 - n + 234*s = 0. What is s?
-3/13
Let a(p) be the third derivative of 121*p**7/10 + 1111*p**6/20 + 1011*p**5/20 - 35*p**4/2 - 50*p**3 + 5*p**2 + 14*p. Determine u, given that a(u) = 0.
-2, -5/11, 2/7
Factor -87/5*c**2 + 3/5*c**3 + 9747/5 + 57/5*c.
3*(c - 19)**2*(c + 9)/5
Let c(k) = -2*k**3 + 27*k**4 + 3*k**3 + 0*k**3 - 26*k**4. Let r(n) = 436*n**4 - 431*n**4 - n**2 + 3*n**3 - n**2. Let y(u) = 3*c(u) - r(u). Solve y(z) = 0.
-1, 0, 1
Let p = 38483/67382 - -3/9626. Factor -p*l**2 - 4*l - 40/7.
-4*(l + 2)*(l + 5)/7
Let c(h) be the second derivative of -h**5/50 + h**4/3 - 3*h**3/5 - h - 1476. Factor c(b).
-2*b*(b - 9)*(b - 1)/5
Let p(n) = -n**3 - 47*n**2 + 5*n + 238. Let l be p(-47). Determine f so that -22/3 + 1/3*f**2 + l*f = 0.
-11, 2
Let t(i) be the first derivative of 3*i**5/20 + 9*i**4/16 - 27*i**3/2 + 111*i**2/2 - 90*i - 2182. Suppose t(b) = 0. Calculate b.
-10, 2, 3
Let a = 1/736149 - -34598999/2944596. Factor 1/4*d**4 - a*d**2 + 90*d - 5/2*d**3 + 324.
(d - 9)**2*(d + 4)**2/4
Let n(x) be the third derivative of -x**5/48 - 235*x**4/48 + 475*x**3/24 - 2853*x**2. Find b, given that n(b) = 0.
-95, 1
Let m(a) be the second derivative of -a**5/40 - 1153*a**4/24 + 4486*a. Find o such that m(o) = 0.
-1153, 0
Suppose -2/11*g**4 + 0 + 74/11*g**2 - 70/11*g - 2/11*g**3 = 0. Calculate g.
-7, 0, 1, 5
Let v(o) be the third derivative of -o**5/150 - o**4/15 + 3*o**3 + 323*o**2 + 8. Factor v(m).
-2*(m - 5)*(m + 9)/5
Suppose 914*u - 961*u = -94. Factor -3/2*h**3 + 0 + 6*h**u - 9/2*h.
-3*h*(h - 3)*(h - 1)/2
Let k be 42/(-56) + (-3)/(-4). Suppose k = -v - 2*v + 6. Factor -3*i**2 + 6*i**2 + 16*i**3 + 2*i**5 - 10*i**4 - 11*i**v.
2*i**2*(i - 2)**2*(i - 1)
Let m = -25 - -19. Let j(k) = 3*k**2 + 3*k - 6. Let q(d) = 6 - d - 2*d - 4*d**2 + 4*d**2 - 3*d**2. Let a(s) = m*j(s) - 5*q(s). Factor a(l).
-3*(l - 1)*(l + 2)
Let s(w) be the first derivative of 2/3*w**3 + 3/2*w**2 - 35 - 1/4*w**4 + 0*w. Find z, given that s(z) = 0.
-1, 0, 3
Solve 117122/17*h**2 + 32/17*h**4 + 3888/17*h**3 + 7442/17 - 59292/17*h = 0.
-61, 1/4
Let s(a) be the third derivative of 0*a + 0 + 1/330*a**5 + 89*a**2 + 16/33*a**3 - 2/33*a**4. Factor s(m).
2*(m - 4)**2/11
Let j(t) be the first derivative of t**4/4 + 19*t**3/3 + 12*t**2 - 240*t + 226. Let o(w) be the first derivative of j(w). Solve o(r) = 0 for r.
-12, -2/3
Let y(n) be the first derivative of -3*n**7/14 + 4*n**6/5 - 21*n**5/20 + n**4/2 - 28*n + 1. Let j(m) be the first derivative of y(m). Factor j(q).
-3*q**2*(q - 1)**2*(3*q - 2)
Suppose 2*n + 6 = 4*w, -3*w - 5*n - 15 = -5*w. Let k(g) = g**3 - g**2 + 333. Let m be k(w). Determine l so that -333*l + m*l - l**5 - 3*l**4 = 0.
-3, 0
Let k be (-6)/7*(6/(9 + -15))/(19/38). Suppose -12/7*u + k + 3/7*u**2 = 0. Calculate u.
2
Let w(i) be the third derivative of -i**6/60 + 125*i**5/24 - 11929*i**4/24 - 43687*i**3/12 + 2*i**2 - 7*i + 70. Factor w(p).
-(p - 79)**2*(4*p + 7)/2
Let q(y) be the first derivative of -y**4/2 + 34*y**3/3 - 31*y**2 + 30*y + 4694. What is j in q(j) = 0?
1, 15
Let l = -163 - -159. Let v be (8/l)/(8/(-12)). Find g, given that 24/7*g + 4/7*g**2 - 2/7*g**4 - 18/7 - 8/7*g**v = 0.
-3, 1
Let l(r) be the first derivative of r**7/210 + r**6/18 + 7*r**5/30 + r**4/2 - 22*r**3 - 54. Let v(k) be the third derivative of l(k). What is j in v(j) = 0?
-3, -1
Let k(d) = 41*d**2 + 7*d + 3. Let a be k(-4). Determine o, given that 7*o**2 - a - 2*o**2 + 591 - 10*o = 0.
-2, 4
Let w = 434074/180865 + 2/180865. Factor 12/5 + w*k + 3/5*k**2.
3*(k + 2)**2/5
Suppose 0 = 5*c + a - 113 - 29, -5*c + 148 = -a. Factor c*z**3 - 48*z**3 + 14*z**3 - 25*z**2 - 20*z.
-5*z*(z + 1)*(z + 4)
Let x(l) = -2*l**3 - 33*l**2 - 45*l + 4. Let r be x(-15). Solve 3 + 8 + 10*o**r - 10*o**2 - 16*o**4 - 12*o**3 + 5*o**4 + 12*o = 0.
-11, -1, 1
Let k be (-18)/(-108) + 1/((-6)/(-257)). Suppose -k*j - 4 = -45*j. Determine t, given that 202*t**4 - 9*t**2 - 222*t**4 - 7*t**2 - 34*t**3 - j*t**5 = 0.
-8, -1, 0
Suppose -k = 84*n - 83*n - 13, 2*n = k - 1. Let y(g) be the first derivative of -2/5*g**2 + k + 4/15*g**3 + 0*g. Factor y(v).
4*v*(v - 1)/5
Let m(h) be the second derivative of -6*h - 4*h**2 + 8/3*h**3 - 1 - 1/5*h**5 + 1/6*h**4. Factor m(l).
-2*(l - 2)*(l + 2)*(2*l - 1)
Let f(a) = -2*a**2 + a + 1. Let y(i) = 9*i**2 - 9*i + 4*i**2 + 5*i**2 - 6 - 5*i**2. Let r(j) = 6*f(j) + y(j). Suppose r(c) = 0. What is c?
0, 3
Let c(d) be the first derivative of -5*d**4/36 + 130*d**3/9 - 1690*d**2/3 - 42*d + 67. Let r(v) be the first derivative of c(v). Factor r(b).
-5*(b - 26)**2/3
Suppose 2*w = -2*y - 6, 5*w + 5*y = 4*w - 23. Suppose -w*r - 13 + 19 = 2*b, 9 = -r + 3*b. Factor 4/5*a + r + 2/5*a**2.
2*a*(a + 2)/5
Solve 0*u**4 - 5*u**4 + 13*u**3 + 3*u**3 + 80*u + 748*u**2 - 420*u**2 + u**4 - 3300 = 0.
-5, 3, 11
Let f(m) be the second derivative of 13*m**7/2016 + 11*m**6/240 + m**5/120 - 50*m**4/3 + 24*m. Let h(v) be the third derivati