b**t.
-3*(b - 1)**3/4
Let k = -51 - -37. Let r be (k/7)/(-1 + -3). What is i in 1/6*i**2 + r + 2/3*i = 0?
-3, -1
Let n(y) = y**3 + 11*y**2 + 11*y + 10. Let q(f) = 11*f + 1. Let b be q(-1). Let x be n(b). Factor -3*v**3 + x*v**3 + 2*v**3 + 2 + 3*v + 0.
-(v - 2)*(v + 1)**2
Let h(c) be the third derivative of -c**8/112 - 2*c**7/35 + c**6/8 + 3*c**2 - 4*c. Determine z so that h(z) = 0.
-5, 0, 1
Let f be (-2)/(0 - (-8)/(-60)). Solve 18 + 3*z**3 + f*z - 17 - 12*z**2 - 7 = 0.
1, 2
Suppose 0*s = s + a, 0 = 5*s - 3*a - 24. Factor z + 6*z - 3*z + s*z**2 - 7*z.
3*z*(z - 1)
Let j(u) be the second derivative of 160/3*u**3 + 128*u**2 - 29*u + 4/3*u**6 - 2/21*u**7 + 0 - 20/3*u**4 - 5*u**5. Factor j(z).
-4*(z - 4)**3*(z + 1)**2
Let f(i) be the third derivative of i**7/70 - i**6/40 - 7*i**3/3 - 3*i**2. Let p(q) be the first derivative of f(q). Factor p(d).
3*d**2*(4*d - 3)
Let c(v) be the first derivative of v**6/33 + 4*v**5/11 + 8*v**4/11 - 4*v**3/33 - 17*v**2/11 - 16*v/11 + 512. Let c(z) = 0. What is z?
-8, -1, 1
Suppose -6 - 19 = -5*d. Factor 3*q**2 + 20*q + q**2 - 11*q - d*q - 8.
4*(q - 1)*(q + 2)
Let n(g) be the second derivative of -4*g**6/495 - 2*g**5/165 - g**4/132 - 13*g**3/6 + 11*g. Let w(v) be the second derivative of n(v). Factor w(s).
-2*(4*s + 1)**2/11
Let t = 368/543 - 2/181. Suppose -59 = -17*z + 5*d, -3*z + 3*d + 14 + 7 = 0. Factor -8/3 + 8/3*u - t*u**z.
-2*(u - 2)**2/3
Suppose -b - 12 = -0*b. Let c = -8 - b. Factor -6*i**4 - 9*i**2 + 4 + 6*i - 4 - 36*i**3 - 15*i**c.
-3*i*(i + 1)**2*(7*i - 2)
Suppose 2 - 1 - 2*w**3 - 2*w - 1 + 4*w**2 = 0. Calculate w.
0, 1
Let a be 1*2 - 6/3. Suppose 5*l - 10 = -a*l. Factor -3*f - 1 + 3*f + f**3 - f - 2*f**2 + 3*f**l.
(f - 1)*(f + 1)**2
Let c(b) be the first derivative of 2*b**5/15 + 161*b**4/18 - 442*b**3/27 - 53*b**2/9 + 220*b/9 - 354. Let c(d) = 0. What is d?
-55, -2/3, 1
Let f be (-2)/22 - (518/110 - 6). Find q, given that 2/5*q**3 + 6/5*q + f*q**4 + 4/5 - 18/5*q**2 = 0.
-2, -1/3, 1
Suppose -40*i + 34*i = -24. Find z such that 30*z**5 - 62*z**i + 11 - 27*z**2 + 97*z**2 - 30*z**3 - 19 = 0.
-1, -1/3, 2/5, 1, 2
Let l = 1496777/7 + -214406. Let j = 583 + l. Determine m, given that j*m - 8/7 - 38/7*m**4 - 2/7*m**3 - 2*m**5 + 46/7*m**2 = 0.
-2, -1, 2/7, 1
Let j(d) be the first derivative of 9*d**4/4 - 19*d**3 + 24*d**2 + 60*d + 91. Determine x, given that j(x) = 0.
-2/3, 2, 5
Let q be (-5)/(-25) + (-261)/(-45). Let y(z) be the first derivative of 1/2*z**2 - 6 + 0*z**5 - 2/9*z**3 + 2/3*z + 1/18*z**q - 1/3*z**4. What is l in y(l) = 0?
-1, 1, 2
Let x(o) be the third derivative of -o**5/120 + 5*o**4/3 - 400*o**3/3 - 9*o**2 - o. Factor x(s).
-(s - 40)**2/2
Let g(t) be the third derivative of -256/27*t**3 - 2*t**2 - 16/45*t**5 - 4/135*t**6 + 0 - 64/27*t**4 - 1/945*t**7 + 0*t. Factor g(n).
-2*(n + 4)**4/9
Let w(n) be the third derivative of -n**5/20 - n**4 - 8*n**3 + 8*n**2. Suppose w(i) = 0. What is i?
-4
Let g(i) be the first derivative of 2/21*i**3 + 2/7*i - 2/7*i**2 - 11. Factor g(m).
2*(m - 1)**2/7
Let k(m) be the second derivative of 0 - 2/39*m**3 + 0*m**2 + 1/78*m**4 + 19*m. Factor k(n).
2*n*(n - 2)/13
Suppose -9/8*s - 1 - 1/8*s**2 = 0. What is s?
-8, -1
Let d(g) = -48*g + 1009. Let j be d(21). Let p(z) be the first derivative of j + 2/3*z**3 + 2/5*z**5 - 1/12*z**6 - 1/4*z**2 + 0*z - 3/4*z**4. Factor p(n).
-n*(n - 1)**4/2
Let x = 10/19 + -221/456. Let n(s) be the second derivative of 0*s**2 + 1/6*s**3 + 0 - 4*s + x*s**4. Factor n(l).
l*(l + 2)/2
Let k = -19231/4930 + 2/2465. Let r = -7/2 - k. Factor 0*n**2 + 1/5*n**3 + 0 + r*n**4 + 0*n.
n**3*(2*n + 1)/5
Suppose -3*v = t - 2*t - 12, -v = -2*t - 9. Suppose 5*p + z = -5, -3*p + 4*p - v*z - 15 = 0. Factor -5/2*d**2 + p*d + 0.
-5*d**2/2
Let i(z) be the first derivative of -z**4/8 + z**3/6 + 5*z**2/4 + 3*z/2 + 122. Factor i(k).
-(k - 3)*(k + 1)**2/2
Let c(j) be the third derivative of -j**7/1470 + j**6/140 + j**5/420 - 5*j**4/28 + 242*j**2. Factor c(r).
-r*(r - 5)*(r - 3)*(r + 2)/7
Let h be (-117)/(-15) + 72 + -78. Solve -h*m + 0 + 12/5*m**2 - 3/5*m**3 = 0 for m.
0, 1, 3
Let t be (-100)/(-26) - 18/(-117). Suppose h = -0*h, t*a - 24 = 2*h. Determine n, given that a*n**4 + 3*n**3 - 6*n**2 - 2*n + 2*n**3 - 7*n**3 + 4*n**5 = 0.
-1, -1/2, 0, 1
Let u(v) be the second derivative of 3*v**5/5 - 19*v**4/3 - 10*v**3 + 14*v**2 + 46*v. What is s in u(s) = 0?
-1, 1/3, 7
Solve 105*z**2 + 113*z**2 + 4*z**3 + 1292*z + 1156 - 78*z**2 = 0 for z.
-17, -1
Let z(k) be the second derivative of -k**4/12 + 29*k**3/6 - 27*k**2 + 683*k. Factor z(c).
-(c - 27)*(c - 2)
Let p(o) = -o**2 - 5*o - 3. Let d(s) = 6*s + 2. Let l(c) = -c**3 + 10*c**2 - 9*c - 4. Let g be l(9). Let j(f) = g*p(f) - 6*d(f). Solve j(r) = 0 for r.
0, 4
Let -3*u - 18*u**2 - 22 + 20 + 17 = 0. What is u?
-1, 5/6
Let w(d) = -9*d**4 + 6*d**2 + 18*d - 6. Let n(r) = -r**4 + r**3 - r**2 - 3*r + 1. Let o(v) = 6*n(v) + w(v). Factor o(b).
-3*b**3*(5*b - 2)
Suppose 252 + 230476*o**2 + 200*o - 230472*o**2 + 132 = 0. Calculate o.
-48, -2
Let d(u) = -4*u**2 + 10*u + 2. Let y(p) = p**2 - p. Let s = 23 - 24. Let c(i) = s*d(i) - 6*y(i). Find g such that c(g) = 0.
-1
Let w be (-6)/4 - -2*402/408. Suppose 0 + 0*y - 2/17*y**4 - w*y**2 - 10/17*y**3 = 0. What is y?
-4, -1, 0
Determine r, given that -88/7 - 2*r**3 - 256/7*r + 178/7*r**2 = 0.
-2/7, 2, 11
Determine q so that -3 - 15/2*q + 6*q**3 - 3*q**2 + 6*q**4 + 3/2*q**5 = 0.
-2, -1, 1
Let o = -59263/7 + 8479. Factor -108/7*z**4 + o*z**3 + 0 - 4*z**2 + 3/7*z + 27/7*z**5.
z*(z - 3)*(3*z - 1)**3/7
Suppose 3 = -3*s - 9. Let m(z) = z + 7. Let t be m(s). Determine o, given that -38/9*o**t + 4/9*o**4 + 6 + 14*o**2 - 18*o = 0.
1/2, 3
Let f(i) be the first derivative of 35 + 1/32*i**4 - 8*i - 1/2*i**3 + 3*i**2. Find z such that f(z) = 0.
4
Suppose 17*g + 5606 - 5640 = 0. Find w such that 3/8*w**4 + 3/8*w**3 + 0*w**g + 0 + 0*w = 0.
-1, 0
Let h(x) be the second derivative of x**6/195 + 36*x**5/65 + 716*x**4/39 + 1632*x**3/13 + 4624*x**2/13 - 698*x. Factor h(q).
2*(q + 2)**2*(q + 34)**2/13
Let n = 10 - 8. Factor q**n - 2*q**2 - 8*q - 3*q**2.
-4*q*(q + 2)
Let d(h) be the second derivative of -5*h**4/3 - 9*h**3/2 + 25*h**2/2 - 29*h. Let t(v) = 7*v**2 + 9*v - 8. Let q(k) = -4*d(k) - 11*t(k). Factor q(j).
3*(j - 1)*(j + 4)
Let k(w) be the first derivative of 11/5*w**2 - 18/5*w**4 + 16/5*w**3 - 48 + 2/5*w. Solve k(g) = 0 for g.
-1/6, 1
Let n = 139/8 - 31/8. Let k(y) be the second derivative of 3/20*y**5 + 0 - 5/4*y**4 + 3/2*y**3 + 8*y + n*y**2. What is q in k(q) = 0?
-1, 3
Let i(p) = -15*p**2 - 23*p - 2. Let l(z) = 29*z**2 + 47*z + 4. Let m(t) = -7*i(t) - 3*l(t). Determine g, given that m(g) = 0.
-1, -1/9
Let t(g) be the first derivative of g**5/4 + 25*g**4/8 - 115*g**3/12 + 15*g**2/2 - 153. Factor t(k).
5*k*(k - 1)**2*(k + 12)/4
Let a(s) be the first derivative of -2*s**3/15 - 37*s**2/5 + 76*s/5 + 16. What is q in a(q) = 0?
-38, 1
Let y(q) be the first derivative of -2*q**3/51 + q**2/17 + 24*q/17 - 275. Factor y(i).
-2*(i - 4)*(i + 3)/17
Let f = -9817/2 + 39271/8. Solve -f + 1/8*h - 1/8*h**3 + 3/8*h**2 = 0.
-1, 1, 3
Let v(f) = 2*f**2 - 34*f. Let g be v(17). Factor -3*x**5 + 13*x**3 - 2*x**3 - 8*x**3 + g*x**3.
-3*x**3*(x - 1)*(x + 1)
Let r(j) = 21*j**2 - 107*j + 18. Let z(l) = -40*l**2 + 215*l - 35. Let x(h) = -5*r(h) - 2*z(h). Solve x(q) = 0 for q.
1/5, 4
Let i(v) = -v**3 + v**2 + 3*v - 2. Let s be i(-2). Suppose -s*n - 4*n = -2*n. Let n + 2/9*y**2 + 1/3*y - 4/9*y**3 - 2/9*y**4 + 1/9*y**5 = 0. Calculate y.
-1, 0, 1, 3
Let r(s) = -5*s**3 - 47*s**2 + 138*s. Let i(t) = 30*t**3 + 280*t**2 - 830*t. Let d(q) = 6*i(q) + 35*r(q). Find j, given that d(j) = 0.
-10, 0, 3
Suppose -2*w + 9 = w. Let j(g) = 79*g**3 - g**2 + 2*g - 1. Let m be j(1). Factor -w*t + 76 + t**2 - m + t.
(t - 3)*(t + 1)
Let d(a) = -3*a + 6. Let l be d(-9). Let i(c) = l + c - 33. Let n(x) = -x**2 + 4*x. Let f(w) = 6*i(w) - 2*n(w). Factor f(k).
2*k*(k - 1)
Let u be 0/((-33)/(-11) - 6). Let -20/3*a**4 - 36*a**3 + u - 16*a - 160/3*a**2 = 0. Calculate a.
-3, -2, -2/5, 0
Let f(z) be the third derivative of -z**6/240 + z**4/16 + z**3/6 + 2*z**2 - 51. Factor f(u).
-(u - 2)*(u + 1)**2/2
Suppose 0 = -11*g - 29 + 29. Suppose 5*s + 8*s = g. Factor 1/8*f**2 - 3/8*f + s.
f*(f - 3)/8
Determine j so that -149769/2*j**2 + 774*j - 2 = 0.
2/387
Let c = -7069/3 - -235