actor v(t).
-4*(t + 36)**2
Let m(h) be the first derivative of -h**6/39 - 132*h**5/65 - 472*h**4/13 + 764*h**3/3 + 945*h**2/13 - 9800*h/13 - 5936. Determine y so that m(y) = 0.
-35, -1, 1, 4
Let s(f) be the third derivative of 0*f + 3/10*f**3 - 1/50*f**5 - 160*f**2 - 1/8*f**4 + 0. Suppose s(q) = 0. Calculate q.
-3, 1/2
Let v(g) = -g**3 + 3*g - 1. Let c(w) = 19*w**2 - 6*w**3 - 87*w + 15*w**3 + 42 + 9*w**2 + 2*w**2. Let t(l) = c(l) + 6*v(l). What is o in t(o) = 0?
-12, 1
Suppose 5*i - 4412 = -4402. Determine z, given that -3/2*z**i - 18 - 39/2*z = 0.
-12, -1
What is z in -397*z**2 - 34*z + 34*z - 347*z**2 + 3*z**3 + z**3 = 0?
0, 186
Let b(w) be the second derivative of -15*w**4/8 + 191*w**3/4 + 39*w**2 - 7042*w. Factor b(l).
-3*(l - 13)*(15*l + 4)/2
Suppose 78 = r - 4*l - 1110, -5*l = 0. Let d = -1185 + r. Factor 0*q**d + 8/3*q - 4/3*q**4 + 4*q**2 + 0.
-4*q*(q - 2)*(q + 1)**2/3
Let g(i) be the third derivative of -i**7/42 + 3*i**6/8 - 25*i**5/12 + 45*i**4/8 - 25*i**3/3 - 46*i**2 + 5. What is t in g(t) = 0?
1, 2, 5
Let o be (-12 - 2147/(-95)) + (-14)/(1 + 1). Let x(b) be the second derivative of b**3 + 0 + 18*b + 1/10*b**4 + o*b**2. Factor x(l).
6*(l + 2)*(l + 3)/5
Let b(f) be the second derivative of -f**6/6 + f**5 + 35*f**4/12 - 25*f**3/3 - 467*f. Suppose b(h) = 0. What is h?
-2, 0, 1, 5
Let v(n) be the first derivative of 0*n - 32/21*n**3 + 0*n**2 - 1/14*n**4 + 84. Determine x, given that v(x) = 0.
-16, 0
Let f(h) be the first derivative of -2*h**5/15 - 23*h**4/6 - 22*h**3/3 - h**2 - 58*h - 299. Let k(z) be the second derivative of f(z). Factor k(o).
-4*(o + 11)*(2*o + 1)
Factor -55440*d + 1/3*d**4 + 81675 - 112*d**3 + 9738*d**2.
(d - 165)**2*(d - 3)**2/3
Let r = -866631/44 - -78789/4. Solve -1/11*j**2 - r - 13/11*j = 0.
-12, -1
Factor 2949963*h + 76833367 + 7*h**3 - 403803*h + 6180*h**2 + 31970624 + 240868649 - 2*h**3.
5*(h + 412)**3
Let s(i) = i**3 + 5*i**2 + 9*i + 5. Let o be s(-2). Let t(y) = 9*y + 11. Let q be t(o). Let 18*x + 38 - 57*x + 4*x**3 + 4*x**q - 2 + 0 = 0. What is x?
-4, 3/2
Factor 55/8*s**2 - 3/8*s**3 + 49/4*s + 5.
-(s - 20)*(s + 1)*(3*s + 2)/8
Let m = 43 - 38. Suppose 2*c = m*t, -4*t + 5 = 3*c - 18. Factor -n**4 - 53 + n**t + n**3 - n**5 + 112 - 59.
-n**2*(n - 1)*(n + 1)**2
Let -6336*d**2 - 1/3*d**5 + 0 - 5718*d**3 + 263/3*d**4 + 34848*d = 0. Calculate d.
-3, 0, 2, 132
Let g(y) = 28*y**2 + 1332*y + 3952. Let f(r) = -6*r**2 + 2. Let z(c) = 4*f(c) + g(c). Suppose z(u) = 0. What is u?
-330, -3
Let d(s) be the first derivative of -34*s - 3*s**2 + 9*s**5 - 121 + 9*s + 21*s**4 + 11*s**3 + 25*s. Let d(y) = 0. Calculate y.
-1, 0, 2/15
Let k be ((-2)/4)/((-2583)/198 + 13). Determine g so that k*g**3 - 144 - 784*g - 3*g**3 + 15*g**3 + 37*g**3 - 1036*g**2 = 0.
-2/5, -1/3, 18
Let n be (-98)/140 + (-3)/(-12)*3. Let c(l) be the second derivative of 0 + 15*l + 1/3*l**4 + 0*l**2 + 5/6*l**3 - n*l**5. Determine q, given that c(q) = 0.
-1, 0, 5
Let q(w) be the third derivative of 0*w + 155/24*w**4 + 17/4*w**5 + 98 + 25/6*w**3 + 3/8*w**6 - w**2. Factor q(h).
5*(h + 5)*(3*h + 1)**2
What is s in 10563/2*s - 1320 - 6*s**2 = 0?
1/4, 880
Let c(g) = -23*g**2 + 2*g - 25. Let q be c(3). Let p = q + 228. Factor -4/3 + 4/3*f**p + 5*f.
(f + 4)*(4*f - 1)/3
Factor 3834*v + 270*v**2 - 539*v**2 + 4802*v + 265*v**2.
-4*v*(v - 2159)
Let r(f) = -3*f**2 - 3*f + 1. Let c(i) = i + 18. Let a be c(-9). Let l(z) = -5*z - 9*z**2 - z + 3 + 3*z**2. Let s(k) = a*r(k) - 5*l(k). Let s(m) = 0. What is m?
-2, 1
Suppose -k - 13*d = -18*d + 472, 2*d = -2*k - 944. Let o be k/(-336) - (-8)/(-14). Determine r so that 0*r - 5/6*r**4 - o*r**2 + 0 + 5/3*r**3 = 0.
0, 1
Let t(j) be the third derivative of -j**6/24 + 83*j**5/6 - 275*j**4/8 + 675*j**2. Factor t(u).
-5*u*(u - 165)*(u - 1)
Let y = -1829189/2 + 914595. Factor y*p**2 + 33/2 - 17*p.
(p - 33)*(p - 1)/2
Let y = -734/15 - -190/3. Let n = 916/165 - -28/33. Suppose -194/5*k**3 - 144/5*k**4 - 8/5*k - n*k**5 + 0 - y*k**2 = 0. Calculate k.
-2, -1/4, 0
Let u(v) be the first derivative of -v**3 + 51*v**2/2 - 126*v - 6167. Solve u(c) = 0 for c.
3, 14
Let a(t) = 2*t**2 - 28*t + 26. Let z be a(13). Let m be 16/72 - ((-2)/(-9) - z). Factor 1/2*b**2 + 0*b + m + 5/4*b**3.
b**2*(5*b + 2)/4
Let g(u) be the first derivative of 6*u**2 - 1/2*u**4 + 0*u - 10/3*u**3 + 3. Determine w, given that g(w) = 0.
-6, 0, 1
Let k(n) = -n**2 + 14*n + 8. Let v be k(14). Suppose -v = o - 3, 4*j = 5*o + 3125. Let -4*q**2 - 23*q + j - 807 - 13*q = 0. Calculate q.
-8, -1
Let a(k) = 8*k**4 - 17*k**3 - 49*k**2 + 7*k + 46. Let j(y) = -9*y**4 + 18*y**3 + 51*y**2 - 6*y - 48. Let q(o) = -6*a(o) - 5*j(o). Find s such that q(s) = 0.
-2, -1, 1, 6
Let v(o) be the first derivative of 0*o**2 + 0*o**4 - 1/90*o**5 - 22 + 0*o**3 + 1/135*o**6 + 5*o. Let p(b) be the first derivative of v(b). Factor p(r).
2*r**3*(r - 1)/9
Let s be 787*(50/(-5))/10. Let u = s + 789. What is t in -3/2 + 9/4*t**3 + 3/2*t**u - 9/4*t = 0?
-1, -2/3, 1
Let z(y) = -2*y + 38. Let j be z(18). Suppose 58 - 60 = -j*b. Let 7*i - 4 - i - 5*i**2 - b + 4*i = 0. What is i?
1
Let g(n) be the second derivative of -n**6/75 + 23*n**5/50 - 161*n**4/30 + 337*n**3/15 - 198*n**2/5 + 295*n - 2. Let g(m) = 0. Calculate m.
1, 2, 9, 11
Suppose 2*o - 4*z + 1190 = -0*o, 5*o + 4*z = -2989. Let f = 2391/4 + o. Find q, given that -f*q - 1/2 - 1/4*q**2 = 0.
-2, -1
Suppose -11*n + 24 = 2. Suppose q - 31 + 5 = 0. Find b, given that -13*b + q*b + 2*b**3 + 5*b**n - b**2 - 11*b = 0.
-1, 0
Let h(p) be the second derivative of -p**4/15 - 4028*p**3/15 - 2028098*p**2/5 + 5343*p. Suppose h(b) = 0. What is b?
-1007
Suppose 10*a - 15*a = 3*v + 109, -3*a - v - 63 = 0. Let z be (-18 - -17)*(-4 - a/14). Factor 20/7*q - 2/7*q**2 - z.
-2*(q - 9)*(q - 1)/7
Let m(c) be the second derivative of -2*c + 1/20*c**5 + 1/2*c**4 - 27 - 5/2*c**3 - 50*c**2. Determine i, given that m(i) = 0.
-5, 4
Suppose 2*x - 4332 = -4*r, -2*r = -23*x + 22*x - 2166. Let y = r - 11901/11. Factor y*a**2 - 2/11*a**3 + 30/11*a + 16/11.
-2*(a - 8)*(a + 1)**2/11
Let g = 785 - 422. Determine i so that 262*i**3 - 25*i**2 - 1331 - 8*i**2 - 263*i**3 - g*i = 0.
-11
What is t in 1/4*t**5 - 291 + 585/4*t**4 - 437*t + 579/4*t**2 + 1747/4*t**3 = 0?
-582, -2, -1, 1
Solve 365*j**2 + 5*j**4 + 773*j + 260 + 90*j**3 - 227*j - 6*j = 0 for j.
-13, -2, -1
Factor 162*b**2 - 201 + 49 - 156*b - 364*b**2 + 198*b**2.
-4*(b + 1)*(b + 38)
Factor 5/2*t - 11/2*t**2 + 0.
-t*(11*t - 5)/2
Let -969/2*o + 1/4*o**2 + 938961/4 = 0. What is o?
969
Let g(c) be the third derivative of -4/13*c**3 - 6*c + 0 - 1/12*c**4 + 13*c**2 - 1/390*c**5. Find b, given that g(b) = 0.
-12, -1
Let x(g) be the second derivative of g**6/3 - 66*g**5/5 + 346*g**4/3 - 352*g**3 + 320*g**2 - 4322*g. Determine m, given that x(m) = 0.
2/5, 2, 4, 20
Suppose 5/3*f**5 + 355 - 10*f**3 + 2090/3*f**2 - 355/3*f**4 + 2825/3*f = 0. What is f?
-1, 3, 71
Let r(u) = u**2 + 2*u + 1. Suppose -143 + 53 = -5*n. Let j(a) = -7*a**2 - 36*a - 53. Let p(d) = n*r(d) + 2*j(d). Factor p(x).
4*(x - 11)*(x + 2)
Let z(y) be the second derivative of -7/6*y**3 + 21*y - 49/4*y**2 - 1/24*y**4 + 0. Factor z(f).
-(f + 7)**2/2
Suppose 3*j - 4*h = 820 - 786, j - 5*h = -7. Let d(v) be the first derivative of 0*v - j + 3/11*v**2 + 2/33*v**3. Factor d(q).
2*q*(q + 3)/11
Let r = 10002763/19 - 526461. Solve -2/19*t**4 + 8/19*t + 0 + r*t**3 + 14/19*t**2 = 0 for t.
-1, 0, 4
Factor 0 + 1145/2*g**2 - 1/4*g**3 - 1311025/4*g.
-g*(g - 1145)**2/4
Let x(r) be the first derivative of -3*r**5/25 - 57*r**4/4 - 93*r**3/5 + 57*r**2/2 + 282*r/5 - 2179. Determine n, given that x(n) = 0.
-94, -1, 1
Let y(t) be the third derivative of -t**8/1344 + 5*t**7/168 - 43*t**6/480 - 77*t**5/240 + 47*t**4/24 - 23*t**3/6 - 10017*t**2. Solve y(l) = 0 for l.
-2, 1, 2, 23
Suppose 2*p + 3*z = -2*p + 29, 4*p - 3*z - 11 = 0. Let m be (-74404)/2670*(3 + (-39)/11). Factor -10*s**3 - 2/5*s**p - 16/5 - 56/5*s - m*s**2 - 16/5*s**4.
-2*(s + 1)**2*(s + 2)**3/5
Let l(d) be the second derivative of d**5/50 - 223*d**4/15 + 9856*d**3/3 + 100352*d**2/5 - 9*d + 65. Factor l(x).
2*(x - 224)**2*(x + 2)/5
Let a(m) be the third derivative of -m**6/60 - 311*m**5/36 - 226*m**4/9 - 86*m**3/3 + 553*m**2. Solve a(b) = 0.
-258, -2/3, -1/2
Let l(u) be the second derivative of 0 + 1/10*u**5 - 5*u**2 + 219*u - 1/3*u**3 + 5/6*u**4. Factor l