ch that -4/5*h**4 - 2/5*h**3 + 0 + i*h**2 + 2/5*h = 0.
-1, -1/2, 0, 1
Suppose -132 = 227*b - 149*b - 122*b. Suppose 24389/5 + 17*m**4 + 470*m**b + 1/5*m**5 - 9251*m + 3886*m**2 = 0. What is m?
-29, 1
Let n(v) be the first derivative of -v**7/2100 + 13*v**6/150 - 169*v**5/25 + 4394*v**4/15 + 23*v**3 + 13. Let d(q) be the third derivative of n(q). Factor d(o).
-2*(o - 26)**3/5
Suppose -4*x - 1 - 3 = 0. Let i be (-1)/(x + (-10)/(-15)). Determine u so that -115*u**3 - 5 - 80*u**4 - 15*u**3 - 165*u**2 + 330*u**i + 50*u = 0.
1/4, 1
Factor -192/7 - 2/21*z**2 - 36/7*z.
-2*(z + 6)*(z + 48)/21
Let y(u) = u**3 + 12*u**2 + 17*u + 30. Let p be y(-9). Let z be (-54)/72 - 6/(p/(-55)). Find l such that -4/9*l - 2/9 - 2/9*l**z = 0.
-1
Suppose -i = -2*b + 7, -1247*b - 4 = -1248*b + i. Find x such that 0*x + 0 - x**4 - 1/2*x**b + 1/2*x**5 + x**2 = 0.
-1, 0, 1, 2
Let v(z) = -z**2 + 9*z - 6. Let r be v(8). Factor 31*p + 25*p**4 - 6*p**4 - 7 - 3 + 13*p**3 - 7*p**4 - 33*p**r - 13*p**4.
-(p - 10)*(p - 1)**3
Let y be 187600/(-250) + 24/(-15) + 2. Let x = y - -753. Solve 5/4*t**2 + x*t + 1 = 0 for t.
-2, -2/5
Let s = -335 - -362. Let m be s/18*3/18. Factor m*l**2 + 5/4*l + 3/2.
(l + 2)*(l + 3)/4
Let y = 225632 + -676868/3. Factor 0*j**2 - 4/3*j**5 + y*j**4 + 32/3*j**3 + 0 + 0*j.
-4*j**3*(j - 8)*(j + 1)/3
Let b(v) be the first derivative of v**3/2 + 21*v**2/2 + 36*v - 7610. Let b(f) = 0. What is f?
-12, -2
Let m be (324/(-16))/(-3) - ((-22)/(-8) - 1). Let z(t) be the third derivative of 0*t**m - 3/8*t**4 + 0 + 0*t + 10*t**2 - t**3 + 1/40*t**6. Factor z(v).
3*(v - 2)*(v + 1)**2
Let n be -1 + (-7)/(-3) - (-1)/(-3). Let y be (-5)/(-2) - n*1/(-2). Factor 4*k**2 + 3*k**y + 10*k + 4*k**4 + 9*k**3 - 25*k + 3*k - 8.
4*(k - 1)*(k + 1)**2*(k + 2)
Let a(u) be the first derivative of 225/2*u**2 + 20*u**3 + 250*u + 5/4*u**4 + 40. Let a(w) = 0. Calculate w.
-5, -2
Factor 2500*m + 3034 - 4548 + 3*m**2 - 4467 + 2516*m - 4063.
3*(m - 2)*(m + 1674)
Let y(l) be the second derivative of -l**5/70 - 5*l**4/42 + 2*l**3/7 + 1817*l - 3. What is u in y(u) = 0?
-6, 0, 1
Let t be (-357380)/20020 - (-9)/(-21). Let j = t - -240/13. Factor 4/11*h**3 - 2/11*h**5 - j*h - 2/11*h**4 + 4/11*h**2 - 2/11.
-2*(h - 1)**2*(h + 1)**3/11
Let u(r) be the second derivative of 50*r + 0 + 1/20*r**5 - 1/150*r**6 + 0*r**3 - 1/20*r**4 + 0*r**2 - 1/210*r**7. Factor u(g).
-g**2*(g - 1)**2*(g + 3)/5
Let x(h) be the first derivative of 13 - 5*h - 1/12*h**4 + 1/6*h**3 + h**2. Let i(k) be the first derivative of x(k). Find l, given that i(l) = 0.
-1, 2
Let n(b) be the second derivative of 35*b - 43/108*b**4 - 2 + 0*b**2 + 0*b**3 + 43/270*b**6 - 1/378*b**7 + 1/180*b**5. Find s, given that n(s) = 0.
-1, 0, 1, 43
Let p(k) = -15*k**4 + 106*k**3 - 761*k**2 + 1542*k - 702. Let n(v) = 3*v**4 - v**3 - 3. Let f(t) = -6*n(t) - p(t). Factor f(q).
-(q - 3)**2*(q + 40)*(3*q - 2)
Let y be ((-2)/(-4))/((-16)/16)*624. Let n = y + 1564/5. Factor 4/5*a - 4/5*a**3 - 4/5*a**2 + n.
-4*(a - 1)*(a + 1)**2/5
Let b = -513 + 519. Factor b + 81*t - t**3 + 78*t - 152*t.
-(t - 3)*(t + 1)*(t + 2)
Let a be ((-24)/20)/(-3)*(13 - 3). Let p(j) = -j**3 - j**2 - j - 1. Let r(u) = 6*u**3 + 20*u**2 + 18*u + 4. Let h(f) = a*p(f) + r(f). Factor h(o).
2*o*(o + 1)*(o + 7)
Solve -116/3*w**3 - 2*w**5 + 38*w**2 + 5/3 - 46/3*w + 49/3*w**4 = 0.
1/6, 1, 5
Let o(y) = y**4 + 103*y**3 - 30*y**2 - 36*y + 12. Let u(t) = -t**4 - 86*t**3 + 31*t**2 + 36*t - 10. Let c(i) = -5*o(i) - 6*u(i). Factor c(h).
h*(h - 6)*(h + 1)*(h + 6)
Let w = 7525121/4 - 1881280. Let -w*x**3 + 13/4*x - 5/4*x**2 - 7/4 = 0. What is x?
-7, 1
Let c = -19387 - -19389. Let m(y) be the first derivative of -1/2*y**4 + 8/3*y**3 - 31 + 0*y - 4*y**c. Factor m(z).
-2*z*(z - 2)**2
Let t(u) be the first derivative of -u**5/390 + 3*u**4/52 - 8*u**3/39 - 19*u**2 - 57. Let a(b) be the second derivative of t(b). Let a(k) = 0. What is k?
1, 8
Let a(v) be the first derivative of -v**3 + 69*v**2/2 + 630*v + 723. Factor a(j).
-3*(j - 30)*(j + 7)
Let d = 562 + -538. Suppose -95*q + 284 = -d*q. Factor -2/19*l**q + 2/19*l**2 + 0*l + 2/19*l**3 + 0 - 2/19*l**5.
-2*l**2*(l - 1)*(l + 1)**2/19
What is o in -36*o - 1/4*o**5 + 10*o**3 + 30*o**2 - 108 - 3/4*o**4 = 0?
-6, -3, -2, 2, 6
Factor -423/2*f + 3/2 + 59643/8*f**2.
3*(141*f - 2)**2/8
Let n = 35 + -17. Suppose j - 20 + n = 0. Find u, given that 2 + 18*u**j - 2*u**3 + 2 + 3*u - 6*u**4 + 15*u = 0.
-1, -1/3, 2
Let y(d) = -140 + 28*d - 306*d - 150*d**2 + d**3 - 10*d**3 - 3*d**3. Let w(s) = s**3 + s**2. Let i(t) = 28*w(t) + 2*y(t). Let i(z) = 0. What is z?
-1, 70
Let d(z) be the first derivative of -7*z**6/9 - 32*z**5 - 613*z**4/2 + 7556*z**3/9 - 348*z**2 - 432*z + 2516. Determine c so that d(c) = 0.
-18, -2/7, 1
Let p(y) be the second derivative of 5*y**7/42 - 13*y**6/24 - 23*y**5/4 + 1585*y**4/48 + 55*y**3/3 - 190*y**2 - 5863*y. Determine r so that p(r) = 0.
-19/4, -1, 1, 4
Factor -345*q - 337*q - 675 - 821 + 744 - 2*q**2 - 604.
-2*(q + 2)*(q + 339)
Let k be 1/(-6) + 7/(378/(-99)). Let g be (9/(-27))/(k*(-1)/(-12)). Factor 10/17*l + 8/17*l**g + 4/17 + 2/17*l**3.
2*(l + 1)**2*(l + 2)/17
Suppose -3*p - 26 = -2*h, 4*h + 2 = -3*p - 0. Let n(q) be the second derivative of q**2 + 1/36*q**h + 0 - 9*q + 7/18*q**3. Determine o, given that n(o) = 0.
-6, -1
Suppose 80 = 32*m - 27*m. Suppose 14*i = 22*i - m. Suppose -j - 158 - j + 162 - 2*j**i = 0. Calculate j.
-2, 1
Let b(t) = t**4 - t**3 - t**2 - 16*t + 1. Let z(s) = 15*s**4 - 312*s**3 - 2865*s**2 - 6276*s - 3570. Let o(x) = -6*b(x) - z(x). What is g in o(g) = 0?
-3, -6/7, 22
Suppose 212/7*f**3 + 650/7 - 92*f**2 - 6/7*f**4 - 30*f - 2/7*f**5 = 0. Calculate f.
-13, -1, 1, 5
Suppose -1100/3*v + 85*v**2 + 5/3*v**3 + 0 = 0. What is v?
-55, 0, 4
Let u(a) = 12*a**3 - 306*a**2 + 26250*a + 110092. Let d(q) = -11*q**3 + 308*q**2 - 26248*q - 110104. Let m(p) = 11*d(p) + 10*u(p). Solve m(v) = 0.
-4, 166
Find q, given that 9/2*q + 9/4*q**3 + 33/4*q**2 + 0 = 0.
-3, -2/3, 0
Suppose 243 = -4*d - 5*n, 5*d = 3*d - n - 117. Let l = 61 + d. Factor 2*a**4 + 2*a**l - 5*a**3 + 3*a**2 + 7*a**3 - 7*a**2 - 2*a.
2*a*(a - 1)*(a + 1)*(2*a + 1)
Let n(t) be the third derivative of t**5/20 + 599*t**4/4 + 358801*t**3/2 + 27*t**2 + 7*t. Factor n(s).
3*(s + 599)**2
Let i(k) = 5770*k - 46160. Let w be i(8). Determine m, given that w - 3/8*m**3 - 27/8*m + 9/4*m**2 = 0.
0, 3
Suppose 0 = 3*l - 3*h + h + 3536, -l - 3*h - 1164 = 0. Let s = 1180 + l. Find w such that s*w**3 + 92/3*w**2 + 160/3*w - 64/3 = 0.
-4, 1/3
Let d(w) be the third derivative of -1/80*w**5 + 124*w**2 - 11/32*w**4 + 0*w**3 + 0*w + 0. Factor d(l).
-3*l*(l + 11)/4
Let -2/3*m**2 + 422*m - 2524/3 = 0. What is m?
2, 631
Let a = 409 + -7735/19. Let f = 91/38 - a. Find x, given that -x**3 + 0*x + 0*x**2 + 0 + f*x**4 = 0.
0, 2
Let 12944*h**2 - 28*h**3 + 35*h + 112*h - 3*h**4 + 25*h**3 - 12887*h**2 + 90 = 0. Calculate h.
-3, -2, -1, 5
Let a(q) = -1071*q + 8570. Let r be a(8). Let b(u) be the first derivative of -19 + 1/3*u**5 + 5/12*u**4 + 0*u**r + 0*u**3 + 0*u. Factor b(g).
5*g**3*(g + 1)/3
Let t be 2 - (9 + -1 - 9). Let o(h) be the first derivative of -2*h**2 - 12 - h**4 + 8/3*h**t + 0*h. Suppose o(k) = 0. What is k?
0, 1
Factor -231 + 45*r**3 - 171*r**3 + 11*r**2 + 50*r + 47*r**3 + 80*r**3 - 271*r.
(r - 11)*(r + 1)*(r + 21)
Factor -243 + 1/4*l**3 + 108*l - 39/4*l**2.
(l - 18)**2*(l - 3)/4
Let w(k) be the first derivative of -29*k**3 - 195*k**2/2 - 108*k + 1203. Factor w(c).
-3*(c + 1)*(29*c + 36)
Let d be ((-1)/(-8) + (-400)/4224)/1. Let g(q) be the second derivative of 0 + 3/110*q**5 - 3*q - d*q**4 + 0*q**3 - 1/165*q**6 + 0*q**2. What is v in g(v) = 0?
0, 1, 2
Let i(q) = -8*q**2 - q - 2. Let v(c) = 52*c**2 + 234*c + 12. Let g(k) = 6*i(k) + v(k). Determine o so that g(o) = 0.
-57, 0
Let c(g) be the first derivative of -3*g**5/25 + 18*g**3/5 - 243*g/5 - 1272. Solve c(n) = 0.
-3, 3
Suppose 0 = -w - 70 + 19. Let o = -49 - w. Suppose t**3 + 20*t**4 - 16*t**3 - 39*t**o - 5*t**5 + 39*t**2 = 0. What is t?
0, 1, 3
Let n be ((-1458)/21 + 6)/(2/(-14)). Let m = 450 - n. Factor 51/4*g + 33/2*g**3 + 3 + 3/4*g**5 + 21*g**2 + m*g**4.
3*(g + 1)**4*(g + 4)/4
Suppose 4*i + 16 = 2*x, -11*i + 10*i = -4*x + 18. Factor 3 + t**2 + 67*t**3 - 68*t**3 + 1 - x*t**2.
-(t - 1)*(t + 2)**2
Let q = 411 + -117. Let g be (1 + (-258)/q)/(2/14). Fact