ine d, given that v(d) = 0.
0, 1, 2
Let t be 5 + (-1 - -3)/(14/(-21)). Let x(y) be the first derivative of y**3 - 4 + 1/2*y**t + 0*y. Solve x(r) = 0 for r.
-1/3, 0
Let p be (-28 - (-6000)/210)/((-4)/(-14)). Find q such that -4 + 1/2*q**p + q = 0.
-4, 2
Let a(c) be the third derivative of c**7/420 - c**6/60 + 43*c**2. Factor a(j).
j**3*(j - 4)/2
Suppose -714*l**2 + 217*l - 2*l**4 + 80*l**3 - 316*l - 1665*l = 0. Calculate l.
-2, 0, 21
Let x(g) be the third derivative of -g**8/45360 - g**7/2835 - g**6/540 - 7*g**5/30 - 4*g**2. Let n(z) be the third derivative of x(z). Factor n(q).
-4*(q + 1)*(q + 3)/9
Let b(t) be the third derivative of -t**7/147 + t**6/35 + t**5/210 - t**4/7 + 4*t**3/21 + 45*t**2 - 2. Solve b(q) = 0.
-1, 2/5, 1, 2
Let a(n) be the third derivative of -n**6/120 + 7*n**5/60 - n**4/4 - 97*n**2. Factor a(h).
-h*(h - 6)*(h - 1)
Let a(j) be the second derivative of 8*j**3 + 0 - 4*j**2 + j**4 - 9*j + 1/20*j**5. Let h(n) be the first derivative of a(n). What is y in h(y) = 0?
-4
Suppose 3*a + n + 608 = 0, a - 5*a = 4*n + 800. Let z = a - -2246/11. Factor z*t**2 - 4/11 + 2/11*t.
2*(t - 1)*(t + 2)/11
Let r be (-7)/3*(-4 - 11). Let l(t) = -8*t**3 - 8*t**2 + 9*t - 7. Let c(n) = n**3 + n**2 - n + 1. Let a(d) = r*c(d) + 5*l(d). Let a(i) = 0. Calculate i.
-2, 0, 1
Let c(k) be the second derivative of k**6/120 + 9*k**5/80 + 29*k**4/48 + 13*k**3/8 + 9*k**2/4 + 218*k + 2. Factor c(w).
(w + 1)*(w + 2)*(w + 3)**2/4
Let l(z) be the second derivative of z**4/6 + 38*z**3 + 3249*z**2 - 214*z. Factor l(f).
2*(f + 57)**2
Let x(g) be the third derivative of g**8/1008 - 2*g**7/315 - g**6/120 + 7*g**5/90 - g**4/9 - g**2 + 160*g. Factor x(n).
n*(n - 4)*(n - 1)**2*(n + 2)/3
Let d be (5 - 3)/4 - (-6)/4. Let -15*x**d - 202 + 4*x**4 + 214 - x**4 = 0. What is x?
-2, -1, 1, 2
Let o = -2 + -106. Let h = o + 108. Factor -1/7*b + h + 1/7*b**2.
b*(b - 1)/7
Factor 2/19*z**2 - 18/19*z - 44/19.
2*(z - 11)*(z + 2)/19
Let o(a) be the second derivative of a**7/56 - 7*a**6/40 + 3*a**5/8 + a**4/8 - 11*a**3/8 + 15*a**2/8 + 21*a - 3. Factor o(w).
3*(w - 5)*(w - 1)**3*(w + 1)/4
Solve 640*r - 2310*r**3 - 245*r**4 - 92*r**2 + 420*r - 180 - 733*r**2 = 0 for r.
-9, -1, 2/7
Let x(r) be the first derivative of 4*r**3/3 + 128*r**2 + 252*r - 739. Determine y so that x(y) = 0.
-63, -1
Let j(b) = 5*b**2 + 11*b + 6. Suppose 11 = 2*a + 3, 5*a = -4*l + 40. Let z(w) = -3*w**2 - 7*w - 4. Let d(g) = l*j(g) + 8*z(g). Factor d(p).
(p - 2)*(p + 1)
Let u = 164/3 + -814/15. Factor u*t**5 + 0 + 8/5*t**3 - 8/5*t**4 + 0*t + 0*t**2.
2*t**3*(t - 2)**2/5
Factor 128/5*r + 112/5*r**2 + 0 + 2/5*r**4 + 28/5*r**3.
2*r*(r + 2)*(r + 4)*(r + 8)/5
Factor 220*q + 215*q - 419*q - 4*q**2.
-4*q*(q - 4)
Suppose 2*p + 4*n = -4, 3*p - 33 = 5*n - 6. Find f, given that -140*f - 3*f**2 - p + 2*f**2 + 136*f = 0.
-2
Let i be ((-591)/(-394))/(1/2). Factor -1/3*b**i + 0 + 1/3*b + 0*b**2.
-b*(b - 1)*(b + 1)/3
What is d in -4*d**2 + 70*d**3 - 41*d**4 - 65*d + 16*d**4 + 2*d**2 + 35 - 8*d**2 - 5*d**5 = 0?
-7, -1, 1
Suppose -40 = 18*p - 130. Let w(q) be the second derivative of -1/140*q**p - 1/7*q**2 - 1/28*q**4 + 1/210*q**6 - 2*q + 5/42*q**3 + 0. What is m in w(m) = 0?
-2, 1
Let c(b) be the second derivative of 0 - 9/8*b**2 - 1/4*b**3 + 3/40*b**5 + 1/6*b**4 - 41*b + 1/120*b**6. Suppose c(r) = 0. Calculate r.
-3, -1, 1
Suppose -u - 16 = 3*u. Let k(x) = -8*x - 8. Let r(a) = -a**2 - a. Let b(f) = u*r(f) - k(f). Determine l, given that b(l) = 0.
-2, -1
Suppose 4*c + 6 = c + 3*t, 5*c = 3*t - 12. Let q(o) = 13*o**2 - 24*o - 85. Let n(f) = 7*f**2 - 12*f - 43. Let d(h) = c*q(h) + 5*n(h). Factor d(l).
-4*(l - 5)*(l + 2)
Let w(d) be the first derivative of d**5/180 - 7*d**4/72 + d**3/3 + 14*d**2 + 25. Let i(p) be the second derivative of w(p). Factor i(k).
(k - 6)*(k - 1)/3
Let o be -24*(-8)/600*(-65)/(-26). Factor -o*y - 16/5 + 2/5*y**2.
2*(y - 4)*(y + 2)/5
Let k(i) = -2*i**4 + 5*i**3 + 3*i**2 - 2*i + 2. Let a = 33 - 35. Let g(r) = -r**4 + r**3 + r**2 + 1. Let x(u) = a*k(u) + 6*g(u). Determine v so that x(v) = 0.
-1, 1
Suppose 44*t = 28*t. Factor t - 2/13*j**4 + 10/13*j**2 - 2/13*j**5 + 6/13*j**3 + 4/13*j.
-2*j*(j - 2)*(j + 1)**3/13
Let d be -1 + 0 - (-1 + -4). Suppose 5*o + 4*t - 9 = 0, -2*o + 13 = -d*t - 13. Suppose l**4 + 2*l**5 + 2*l**o - 5*l**5 = 0. What is l?
0, 1
Let n(h) be the second derivative of h**7/147 + 2*h**6/105 - 6*h**5/35 + h**4/3 - 5*h**3/21 + 15*h. Factor n(c).
2*c*(c - 1)**3*(c + 5)/7
Suppose -6*l - 29 = -5*f - 4*l, 4*l = -8. Determine j so that 2/3*j**f - 4/3*j + 11/3*j**2 - 7/3*j**4 + 2/3*j**3 - 4/3 = 0.
-1, -1/2, 1, 2
Let j(u) be the second derivative of -4/7*u**2 + 2 - 2/7*u**3 + 1/35*u**5 + 27*u + 0*u**4. Factor j(h).
4*(h - 2)*(h + 1)**2/7
Let i(x) = -x**3 + 15*x**2 - 15*x + 17. Let h be i(14). Let y be 5/(-15) + 1/h. Let -3/4*p**3 + y - 7/4*p**2 + 7/4*p**4 + 5/4*p**5 - 1/2*p = 0. Calculate p.
-1, -2/5, 0, 1
Suppose 3*d + 3 = 0, -d = 3*m + 496 - 138. Let a = -119 - m. Let a*f + 24/11*f**2 + 0 + 42/11*f**5 + 128/11*f**3 + 166/11*f**4 = 0. What is f?
-3, -2/3, -2/7, 0
Determine j so that -104976 - 676*j**2 - 72*j**3 - 1091*j**2 - 182*j**4 - 23328*j - 177*j**2 + 181*j**4 = 0.
-18
Let y be (-25)/150 + 1/6. Let o(q) be the third derivative of 1/15*q**5 + 6*q**3 - 9*q**2 + y*q + q**4 + 0. Determine l so that o(l) = 0.
-3
Let a(y) be the first derivative of y**4/21 - 4*y**3/21 + 2*y**2/7 + 2*y - 34. Let o(k) be the first derivative of a(k). Factor o(t).
4*(t - 1)**2/7
Let p(j) = 2*j + 14. Let b be p(-6). Let t(y) = 3*y. Let d be t(b). Find o, given that -3*o**3 + 12*o - 6 - 12 + 3*o**2 + d = 0.
-2, 1, 2
Let m(v) be the third derivative of 0*v**3 + 0*v**4 - 1/2352*v**8 - 1/840*v**6 + 0*v**5 + 1/735*v**7 + 0*v + 11*v**2 + 0. Factor m(x).
-x**3*(x - 1)**2/7
Factor 61/3*q - 1/3*q**2 - 20.
-(q - 60)*(q - 1)/3
Suppose 17*q + 14 = 24*q. Factor 0 - 2/15*g**3 + 8/15*g**q - 2/5*g.
-2*g*(g - 3)*(g - 1)/15
Let h(s) be the third derivative of -s**4/12 + 29*s**3/6 + 7*s**2. Let t be h(13). Factor 3*j - 3*j - 2*j**4 + 0*j**4 + 2*j**t.
-2*j**3*(j - 1)
Suppose 0 = -z + 5. Suppose 0 = -4*y + 2*h - h + 15, 0 = -y + z*h - 1. Determine i, given that -2*i**4 - 4*i + 3*i + 3*i**3 + 4*i**y - 3*i - 4*i**2 - i**5 = 0.
-1, 0, 2
Solve -22*b**2 + b**3 + 20*b + 6*b + 12*b**2 - 9*b - 8 = 0.
1, 8
Let o be 4/(-12) + (-3)/(-6). Let q(x) be the second derivative of 4*x + o*x**4 + 0 + 1/2*x**2 + 5/12*x**3 + 1/40*x**5. Determine h so that q(h) = 0.
-2, -1
Let u(q) be the third derivative of q**6/90 - q**4/6 + 4*q**3/9 - 311*q**2. Factor u(w).
4*(w - 1)**2*(w + 2)/3
Let b = 63/16 + -59/16. Let f(l) be the first derivative of -1/3*l + 4/9*l**3 + 1/8*l**4 + 6 + b*l**2. Factor f(c).
(c + 1)*(c + 2)*(3*c - 1)/6
Let v(q) be the first derivative of -q**7/168 - q**6/120 + q**5/240 - 3*q**2/2 - 1. Let r(k) be the second derivative of v(k). Factor r(y).
-y**2*(y + 1)*(5*y - 1)/4
Let g(j) be the first derivative of -2*j**3/51 + 5*j**2/17 - 10. Find a, given that g(a) = 0.
0, 5
Let r(s) = -s**2 + 31*s - 27. Let i(c) = 6*c**2 - 158*c + 136. Let d(k) = 3*i(k) + 16*r(k). Find o, given that d(o) = 0.
-12, 1
Let h = -59 - -63. Let v be 0/((0 + -2)*(-6)/h). Let v*z**3 + 1/2*z**4 + 0 + 0*z + 0*z**2 + 2*z**5 = 0. Calculate z.
-1/4, 0
Let q(x) = x**3 - 14*x**2 + 2. Let a be q(14). Factor 4*j + 6*j + 6*j**a - j**2.
5*j*(j + 2)
Let l(g) be the first derivative of g**4/12 - 2*g**3/9 + g**2/6 - 154. Suppose l(u) = 0. What is u?
0, 1
Let c(v) = -v**4 - 27*v**3 - 66*v**2 - 44*v + 8. Let z(p) = -5*p**4 - 160*p**3 - 395*p**2 - 265*p + 50. Let y(i) = -25*c(i) + 4*z(i). Let y(h) = 0. Calculate h.
-4, -2, -1, 0
Let b(l) be the first derivative of l**3/6 + 19*l**2/2 + 361*l/2 - 160. Factor b(d).
(d + 19)**2/2
Factor -35*o - 17141 + 17141 - 5*o**2.
-5*o*(o + 7)
Let f = 719/8 + -717/8. Find t, given that 0 + f*t**2 - 3/4*t = 0.
0, 3
Let n be 11/(55/10) + 0. Factor 24 + k**n - 3*k**2 + 50*k**4 - 42*k**3 + 88*k - 118*k**3.
2*(k - 3)*(k - 1)*(5*k + 2)**2
Let v(n) be the second derivative of n**7/42 + 11*n**6/30 + 9*n**5/20 - 11*n**4/12 - 5*n**3/3 + n - 47. Find c such that v(c) = 0.
-10, -1, 0, 1
Let o(u) = 2*u**4 - 13*u**2 - 5*u + 5. Let r(w) be the second derivative of w**4/12 + w**3/6 - w**2/2 + 23*w. Let t(p) = o(p) + 5*r(p). Factor t(b).
2*b**2*(b - 2)*(b + 2)
Let c(z) be the first der