e first derivative of c**4/14 - 12*c**3 + 567*c**2 - 531. Factor x(g).
2*g*(g - 63)**2/7
Let v(o) = -13*o**3 + 96*o**2 + 193*o - 34. Let b be v(9). Factor -5/8*d**b + 1/4*d**4 + 0 + 1/8*d**3 + 1/4*d.
d*(d - 1)*(d + 2)*(2*d - 1)/8
Let b(s) = 9*s**2 - 57*s + 13. Let t(p) = 30*p**2 - 200*p + 44. Let o(m) = 18*b(m) - 5*t(m). Find k, given that o(k) = 0.
1, 7/6
Let b(p) be the third derivative of 8*p**2 + 0 + 1/420*p**5 - 1/42*p**4 + 1/14*p**3 + 0*p. Let b(g) = 0. What is g?
1, 3
Let u = -104687 + 732810/7. What is f in u*f + 5/7*f**2 - 4/7 = 0?
-1, 4/5
Let b(a) be the third derivative of -7*a**5/30 - a**4/114 + 84*a**2. Factor b(o).
-2*o*(133*o + 2)/19
Suppose 154 = -49*k + 154. Let h(r) be the first derivative of -9/32*r**4 + 3/4*r**2 + 9 + 0*r - 3/40*r**5 + k*r**3. Factor h(x).
-3*x*(x - 1)*(x + 2)**2/8
Let v(s) = 2*s**4 - s**3 - 2*s**2 - 3*s. Let f(t) = t**4 + t**3 + 14*t**2 - 5*t - 15. Let j(a) = 4*f(a) - 4*v(a). Find g, given that j(g) = 0.
-3, -1, 1, 5
Let r(g) be the third derivative of -g**6/780 + 193*g**5/195 - 769*g**4/156 + 128*g**3/13 + 846*g**2. Factor r(f).
-2*(f - 384)*(f - 1)**2/13
Let w(v) be the second derivative of 35*v + 0 - 2/3*v**3 + 1/5*v**5 - 2*v**4 + 12*v**2. Find j such that w(j) = 0.
-1, 1, 6
Let w(r) = 7*r**2 + 2*r - 5. Let c be (49 + -51)*((-2)/4 + 0). Let a(f) = c - 5 + 0 + 3. Let j(b) = -5*a(b) + w(b). Determine o so that j(o) = 0.
-2/7, 0
Solve 6540*w - 4821620 + 5766*w - 2486*w - 5*w**2 = 0.
982
Let l(z) = -29 - 3 + 119 - 45 - 135*z + 93*z**2. Let t(k) = -39*k**2 - 8 + 2*k**2 - 5 + 54*k - 4. Let m(h) = 5*l(h) + 12*t(h). Solve m(y) = 0 for y.
2/7, 1
Let o(a) be the first derivative of a**4/4 - a**2/2 + 124. Let u(d) = 7*d**3 - 8*d**2 + 14*d - 16. Let m(i) = 30*o(i) - 5*u(i). Factor m(q).
-5*(q - 4)*(q - 2)**2
Let m(j) be the first derivative of -13 + 0*j**3 + 1/5*j**5 + 13/2*j**2 + 1/6*j**6 + 0*j - 1/3*j**4. Let y(w) be the second derivative of m(w). Factor y(p).
4*p*(p + 1)*(5*p - 2)
Suppose -96*r + 99*r - 57 = 0. Factor -6*x**2 + 5*x**2 + 0*x**2 - 16*x + 0*x**2 - 45 - r.
-(x + 8)**2
Suppose 48 + 21 + 43 = 56*w. Let j(m) be the first derivative of -m - 12 + 1/4*m**w + 1/6*m**3. Factor j(x).
(x - 1)*(x + 2)/2
Let j(o) be the first derivative of -676*o**5/5 - 260*o**4 + 196*o**3 - 36*o**2 + 2101. Solve j(i) = 0.
-2, 0, 3/13
Factor 150/7*o - 3/7*o**2 + 2013/7.
-3*(o - 61)*(o + 11)/7
Let c(q) = q**2 + q - 4. Let a be (-38)/10 - (-108)/135. Let i be c(a). What is l in 0*l - 2/7*l**i + 8/7 = 0?
-2, 2
Let l(b) = -b**5 + b**4 - 3*b**3 - b**2 - b + 1. Let r(j) = j**5 - 13*j**4 - 16*j**3 + 62*j**2 + 74*j - 2. Let s(z) = -10*l(z) - 5*r(z). What is o in s(o) = 0?
-6, -1, 0, 2
Let g(t) be the first derivative of -t**5 + 65*t**4/2 - 1085*t**3/3 + 1470*t**2 - 3488. Factor g(p).
-5*p*(p - 12)*(p - 7)**2
Factor 18*n**2 + 736*n + 981*n + 356 + 4*n**3 + 330*n**2 - 2425*n.
4*(n - 1)**2*(n + 89)
Let b(q) = -q**2 - q - 10. Let y(n) = -n**2 - 2*n - 3. Let a(z) = 3*b(z) - 5*y(z). Factor a(d).
(d + 5)*(2*d - 3)
Let r(h) be the first derivative of 1/9*h**3 - 106 + 27*h + 3*h**2. Factor r(w).
(w + 9)**2/3
Let p(f) be the first derivative of 54 + 2/3*f**3 + 0*f**2 - 2/5*f**5 + 1/6*f**6 + 0*f - 1/4*f**4. Determine v so that p(v) = 0.
-1, 0, 1, 2
Suppose -4 - 4 = 293*p - 354*p - 8. Determine h so that p + 4/3*h + 1/3*h**2 = 0.
-4, 0
Let n(r) = -3*r**2 + 150*r + 827. Let z be n(-5). Factor 0*o**z - 1/4 + 1/4*o**4 - 1/2*o + 1/2*o**3.
(o - 1)*(o + 1)**3/4
Let h(n) = 1963*n - 19630. Let d be h(10). Factor -12/5*z**2 - 28/5*z**3 + d - 8/5*z**4 + 0*z.
-4*z**2*(z + 3)*(2*z + 1)/5
Let l(a) be the second derivative of a**5/4 + 5*a**4/4 - 5*a**3 - 20*a**2 + 3*a - 35. Factor l(b).
5*(b - 2)*(b + 1)*(b + 4)
Let c(w) = 7*w + 117. Let i be c(-15). Determine k so that -9*k - 48*k**5 - i*k**4 - 8*k**2 + 20*k**2 + 51*k**5 + 6*k**3 = 0.
-1, 0, 1, 3
Let i be 110/33*(-996)/(-20). Let k = 168 - i. Factor 0 + 2/3*t**k - 2/3*t.
2*t*(t - 1)/3
Let f(g) be the second derivative of -g**4/6 + 52*g**3/9 + 256*g**2/3 + 6911*g. Factor f(d).
-2*(d + 4)*(3*d - 64)/3
Let x(r) be the second derivative of -2*r**7/1365 + r**6/260 - r**4/156 + 11*r**2 + 78*r - 1. Let d(k) be the first derivative of x(k). Factor d(w).
-2*w*(w - 1)**2*(2*w + 1)/13
Let m = 20/4433 - -53096/22165. Let -3/5*s**4 + 12/5*s**2 + 3/5*s**3 - m*s + 0 = 0. What is s?
-2, 0, 1, 2
Let x(d) be the second derivative of 2/5*d**5 + 0*d**2 + 57*d + 2/15*d**6 - 1/3*d**4 - d**3 + 0 - 1/21*d**7. Let x(c) = 0. What is c?
-1, 0, 1, 3
Solve -1000/3 - 1/3*f**4 + 155/3*f**2 - 4*f**3 - 50*f = 0.
-20, -2, 5
Let r(y) be the second derivative of 3/70*y**5 - 4/7*y**2 + 5/42*y**4 + 31*y - 1/105*y**6 - 2 - 1/7*y**3. Find d, given that r(d) = 0.
-1, 1, 4
Let k(m) be the third derivative of 0*m**3 - 6*m**2 + 0*m - 4 + 1/60*m**5 - 3/8*m**4. Factor k(i).
i*(i - 9)
Let j = -35 - -52. Let h = 19 - j. Suppose 5*d**3 - d**3 - 5*d - 5*d**3 + 2 + 4*d**h = 0. Calculate d.
1, 2
Let b(f) be the first derivative of -1/4*f**4 - 1/120*f**6 - 7 + 0*f**2 + 0*f - 3/40*f**5 - 23/3*f**3. Let v(z) be the third derivative of b(z). Factor v(t).
-3*(t + 1)*(t + 2)
Suppose 0 = 11*b - 7*b. Suppose b = -0*k + 9*k - 18. Factor 15*h - 6*h + 10*h**k + 23*h**2.
3*h*(11*h + 3)
Let q(o) = o**3 + 7*o**2 - 10*o - 9. Let x be q(-8). Suppose -3*w - 3*w = -x*w. Determine s, given that 2 + 0*s**3 - 5 + w*s + 3*s**2 - 3*s**3 + 3*s = 0.
-1, 1
Suppose 2203 = -35*v + 33073. Let b = v + -882. Factor b + 15/4*u - 3/4*u**2.
-3*u*(u - 5)/4
Factor -32/11*c**2 - 96/11*c + 0 + 2/11*c**4 + 6/11*c**3.
2*c*(c - 4)*(c + 3)*(c + 4)/11
Let x = 31355/18819 + 10/18819. Suppose 4 - 1/6*j**2 + x*j = 0. What is j?
-2, 12
Solve -13154 - 4*m**2 + 3368*m + 13154 = 0.
0, 842
Let l(q) be the third derivative of -q**5/40 - 5*q**4/24 - 7*q**3/12 - 919*q**2. Factor l(r).
-(r + 1)*(3*r + 7)/2
Let o be (-6)/4*-14 + (-4)/2. Suppose 0 = -8*d + 11*d - 3*f - 15, 4*d - 3*f = o. Suppose 8/3 + 4*t**3 + 26/3*t**2 + 8*t + 2/3*t**d = 0. Calculate t.
-2, -1
Let c(g) be the first derivative of 1/4*g**2 - 1/4*g**4 + 1/12*g**6 - 4/9*g**3 - 37 + 0*g + 4/15*g**5. Determine n, given that c(n) = 0.
-3, -1, 0, 1/3, 1
Let y(b) = 3*b**2 + 22*b + 37. Let a be y(-2). Suppose -v + 23 = a*w, 26 = 6*v - 0*w + 2*w. Solve 8/3*s**2 - 10/3*s + 4/3 - 2/3*s**v = 0.
1, 2
Factor 0 + 512/5*x**3 + 1/10*x + 32/5*x**2.
x*(32*x + 1)**2/10
Let c = -960 - -1641. Let v = c - 681. Find l, given that -279/4*l**3 - 3*l + 525/8*l**4 + 51/2*l**2 - 147/8*l**5 + v = 0.
0, 2/7, 1, 2
Let c(p) = -p**3 - 65*p**2 - 278*p - 271. Let y(z) = -z**3 - 63*z**2 - 280*z - 272. Let w(d) = -4*c(d) + 3*y(d). Let w(k) = 0. Calculate k.
-67, -2
Let x(l) = 20*l**2 + 80*l - 106. Let y(v) = -7*v**2 - 27*v + 35. Let q(o) = 6*x(o) + 17*y(o). Let j be q(-23). Factor 30 - j*h**2 - 5*h - 7*h - 13*h.
-5*(h - 1)*(h + 6)
Let n be 29*22/2871 + (-68)/(-18). Let y(b) be the first derivative of -2 + 0*b - 20/3*b**3 + b**n + 0*b**2. Suppose y(x) = 0. What is x?
0, 5
Let v = 15733 + -15733. Let i(g) be the third derivative of 0*g + v - 7/18*g**3 - 1/12*g**4 + 1/180*g**5 + 26*g**2. Determine z so that i(z) = 0.
-1, 7
Suppose 0 = -14*u + 1 + 27. Factor 242*h**u + 0*h - 240*h**2 - h**3 + 15*h - 36 + 0*h.
-(h - 3)**2*(h + 4)
Let m be 6 + ((-2514)/60 - -1)/4. Let w = m + 45/8. Factor w*r - 1/5 - 6/5*r**2.
-(r - 1)*(6*r - 1)/5
Suppose 158*r - 140*r - 90 = 0. Factor -9*n - 5 - 17*n**2 + 4 + 33*n - r + 13*n.
-(n - 2)*(17*n - 3)
Suppose -45936/5*d - 3/5*d**4 - 23232/5 + 522/5*d**3 - 22179/5*d**2 = 0. Calculate d.
-1, 88
Let t = -2951 + 2954. Let i(y) be the first derivative of 0*y**2 - 1/5*y**5 + 2/3*y**t - y + 0*y**4 + 16. Solve i(d) = 0.
-1, 1
Let y(p) = -p**2 - 7*p + 30. Let a be y(-10). Suppose m + 7*m = a. Determine l so that -1/2*l**2 + l + m = 0.
0, 2
Solve -600*p**3 - 126*p - 639*p**4 + 191*p**2 - 890*p**2 + 612*p**4 = 0.
-21, -1, -2/9, 0
Let l be ((-135)/(-10) + 3)/(2/(-4)). Let m = l + 36. Factor -45*j**2 - 11*j + 192 + 155*j - 2*j**3 + 2*j**3 + 3*j**m.
3*(j - 8)**2*(j + 1)
Let a be (-44*13/(-1716))/((-2)/(-2)). Let i be 2*7/(-70)*-10. Determine z, given that -a*z**i + 2/3 - 1/3*z = 0.
-2, 1
Let b(f) be the first derivative of 3*f**4/20 - 22*f**3/5 - 387*f**2/10 - 486*f/5 + 139. Suppose b(v) = 0. Calculate v.
-3, -2, 27
Let d(p) be the first derivative of 0*p - 68 + 76/21*p**3 +