 - 1)*(j + 1)*(7*j + 2)**2
Let p = -3 - -5. Factor h**2 + 2*h - 7*h**2 + 5*h**2 - p*h**2 + h**3.
h*(h - 2)*(h - 1)
Let g(p) be the first derivative of -p**5 + 5*p**4/4 + 20*p**3/3 - 10*p**2 - 31. Let g(n) = 0. What is n?
-2, 0, 1, 2
Let n(g) be the first derivative of -5*g**6/12 + 35*g**4/8 - 5*g**3/3 - 15*g**2 + 20*g - 368. What is h in n(h) = 0?
-2, 1, 2
Let h(z) be the third derivative of -8/5*z**5 - 19*z**2 + 0*z - 1/12*z**8 - 4/7*z**7 - 43/30*z**6 - 2/3*z**4 + 0 + 0*z**3. Find g, given that h(g) = 0.
-2, -1, -2/7, 0
Let s(r) be the third derivative of r**8/840 + 11*r**7/525 + 47*r**6/300 + 97*r**5/150 + 8*r**4/5 + 12*r**3/5 - r**2 - 87. Suppose s(x) = 0. What is x?
-3, -2, -1
Let u = 37 + -32. Let d be (-52)/10*(0 + u). Let y(q) = -33*q**2 - q - 5. Let r(h) = 8*h**2 + 1. Let f(x) = d*r(x) - 6*y(x). Determine g so that f(g) = 0.
-2/5, 1
Let z(b) be the first derivative of 9*b**2 - 4*b**3 + 10 - 1 + 5*b**3 + 27*b + 2. Factor z(y).
3*(y + 3)**2
Suppose -10*i + 13*i = 6. Factor -o - i*o + 2*o**2 + 13 + o - 25.
2*(o - 3)*(o + 2)
Let o(a) = 8*a**3 - 46*a**2 - 116*a - 29. Let y(r) = 4*r**3 - 22*r**2 - 58*r - 14. Let f(p) = -6*o(p) + 11*y(p). Factor f(z).
-2*(z - 10)*(z + 1)*(2*z + 1)
Let w(k) be the first derivative of 0*k + 1/10*k**4 + 19 + 0*k**2 + 2/5*k**3. Factor w(d).
2*d**2*(d + 3)/5
Factor 33/2*g**2 - 48 + 30*g + 3/2*g**3.
3*(g - 1)*(g + 4)*(g + 8)/2
Determine a, given that -6/7 - 10/7*a**2 + 2/7*a**3 + 2*a = 0.
1, 3
Let j(v) = v**3 + 7*v**2 - 2*v - 14. Let b be j(-7). Solve 75 + 81 + 344 + 5*z**2 + 100*z + b*z**2 = 0 for z.
-10
Let c be 5 - (4 - 3 - -2). Determine s, given that -3 - 2*s**4 + 7*s**4 + 6*s**c - 8*s**4 = 0.
-1, 1
Find f, given that 1031*f**3 + 4*f - 16*f + 35*f**2 - 1028*f**3 = 0.
-12, 0, 1/3
Let q(d) = d**2 - d + 3. Let v be q(0). Suppose 1 - 3*h**v - 3*h - 4 - 6*h**2 + 3 = 0. Calculate h.
-1, 0
Suppose -5*d - 5*k + 40 = -0*k, -5*d + 5*k = -20. Suppose d - 6 = -30*p. Solve 2/9*u**5 + p*u**2 + 4/9*u**4 + 0 + 2/9*u**3 + 0*u = 0.
-1, 0
Let t(v) = -9*v**3 + 4*v**2 + 8*v + 5. Let j(b) = 15*b**3 - 9*b**2 - 15*b - 9. Let h(d) = 5*j(d) + 9*t(d). Factor h(w).
-3*w*(w + 1)*(2*w + 1)
Let u(b) be the third derivative of b**5/240 - 7*b**4/48 - 4*b**3/3 + 58*b**2. Let u(n) = 0. What is n?
-2, 16
Let u(x) be the second derivative of x**7/63 - 11*x**6/45 + 13*x**5/10 - 5*x**4/2 + 32*x + 1. Factor u(v).
2*v**2*(v - 5)*(v - 3)**2/3
Let i(b) be the third derivative of -b**6/840 - b**5/70 + 76*b**2. Factor i(q).
-q**2*(q + 6)/7
Let z(w) be the second derivative of -w**5/12 + 10*w**4/9 + 50*w**3/9 - 155*w - 2. Let z(d) = 0. What is d?
-2, 0, 10
Let f = 466451 + -82561520/177. Let r = -4/59 + f. Factor 20/3*n**2 + r*n + 10*n**3 + 0 + 20/3*n**4 + 5/3*n**5.
5*n*(n + 1)**4/3
Suppose 58 - 18 = -4*o. Let a be (-15)/o*(1 - -1). Factor a*u**5 + 5*u**4 + 4*u**4 + 3*u**2 + 9*u**3 + 0*u**3.
3*u**2*(u + 1)**3
Let u(z) be the second derivative of z**7/210 + z**6/30 - 29*z**5/50 + 47*z**4/30 + 19*z**3/10 - 99*z**2/10 + 3*z + 23. Determine o, given that u(o) = 0.
-11, -1, 1, 3
Let h(x) be the second derivative of -x**4/102 - 4*x**3/51 - 3*x**2/17 - 52*x + 1. Factor h(o).
-2*(o + 1)*(o + 3)/17
Let i(s) = 4*s**4 - 117*s**3 + 514*s**2 - 373*s. Let b(w) = 3*w**4 - 117*w**3 + 513*w**2 - 375*w. Let d(k) = 7*b(k) - 6*i(k). Let d(y) = 0. What is y?
-43, 0, 1, 3
Let m = 1 - 23. Let q(n) = -12*n**4 - n**3 + n**2 + 12*n - 11. Let p(b) = b**4 - b + 1. Let u(y) = m*p(y) - 2*q(y). Factor u(t).
2*t*(t - 1)*(t + 1)**2
Let o = -42 + 44. Solve 0*y**2 + 3*y**2 - y + 6*y**o - 13*y**2 = 0 for y.
-1/4, 0
Let c be (85/(-15) - -6)/(2/233574). Let s = c - 271991/7. Factor -32/7*v**3 - 2/7*v**4 - s*v - 192/7*v**2 - 512/7.
-2*(v + 4)**4/7
Let b(d) be the third derivative of -2*d**7/525 - d**6/75 + 4*d**5/75 + d**4/15 - 2*d**3/5 + 65*d**2. Find t, given that b(t) = 0.
-3, -1, 1
Let v be (44/10 - 0)*5. Factor 4*w**2 + 18*w**3 + 2*w**4 - 63*w**2 - 3*w**4 - v*w**2.
-w**2*(w - 9)**2
Let s = -4430/21 - -638/3. Let l = 2795/7 + -397. Determine p so that l - 2/7*p**3 - 24/7*p + s*p**2 = 0.
2
Suppose -5 = 2*r - g + 6, -2*r - 2*g = 2. Let l = 4 + r. Factor l*t**2 + 0 + 2/7*t - 2/7*t**3.
-2*t*(t - 1)*(t + 1)/7
Let a be (-4)/(-14) + (-2964)/(-1729). Find u such that -16/7 - 2/7*u**3 + 2/7*u + 16/7*u**a = 0.
-1, 1, 8
Let z(a) be the first derivative of -4/11*a - 41 + 2/33*a**3 - 1/11*a**2. Factor z(v).
2*(v - 2)*(v + 1)/11
Suppose 146*u - 386 = -94. Suppose -3/2*d**u - 9/2*d + 0 = 0. What is d?
-3, 0
Let q = -278 + 278. Let w(b) be the first derivative of 0*b + 5 - 1/2*b**4 + 1/10*b**5 + q*b**2 + 2/3*b**3. Determine x, given that w(x) = 0.
0, 2
Let i(c) be the second derivative of 2*c**6/15 - 23*c**5/5 + 20*c**4/3 + 88*c**3/3 + 192*c. Suppose i(r) = 0. Calculate r.
-1, 0, 2, 22
Let m(h) be the first derivative of -h**6/2 + 3*h**5/20 + 27*h**4/2 - 9*h**3/2 - 243*h**2/2 + 243*h/4 - 154. Let m(a) = 0. Calculate a.
-3, 1/4, 3
Let q = 10474/7851 - 2/2617. Factor -q*m**3 - 2/3*m**4 + 0*m + 0 + 0*m**2.
-2*m**3*(m + 2)/3
Let t(d) be the second derivative of 0*d**3 - 6*d + 1/21*d**7 + 0 + 7/6*d**4 - 1/5*d**6 - 1/10*d**5 - 4*d**2. Determine a, given that t(a) = 0.
-1, 1, 2
Let o = 54064/10507 + -4/1501. Find t, given that 444/7*t**2 + 192/7*t**4 - 30*t - 432/7*t**3 + o - 30/7*t**5 = 0.
2/5, 1, 3
Let q = 3 - 2. Let v be (-5)/((-10)/32) - q. Factor -v*x**2 - 5 - 3 - 36*x - 5*x**3 - 15*x**2 - 2*x**3.
-(x + 2)**2*(7*x + 2)
Find i such that -483*i**2 + i**5 - 8*i**4 + 1010*i**2 - 549*i**2 - 31*i**3 = 0.
-2, -1, 0, 11
Let x(j) = 8*j**2 + 30*j + 48. Let q(h) = -7*h**2 - 30*h - 47. Let l(u) = -3*q(u) - 2*x(u). Suppose l(i) = 0. Calculate i.
-3
Determine w so that 0*w + 1/5*w**4 + 3/5*w**2 - 4/5*w**3 + 0 = 0.
0, 1, 3
Let c(v) be the first derivative of 0*v**2 - 3/25*v**5 - 2/5*v**3 + 0*v + 11 - 9/20*v**4. Factor c(r).
-3*r**2*(r + 1)*(r + 2)/5
Let j = -35 - -36. Let z(h) = -5*h**3 - 10*h**2 - 20*h + 15. Let q(b) = b - 1. Let k(m) = j*z(m) + 15*q(m). Solve k(g) = 0.
-1, 0
Let p be (-5 + -1)*(-8)/12. Suppose -4*q + 13 = q - h, p*q - 2 = 5*h. Let 2*t**3 + 2*t**3 - 2*t**q - 2*t**2 = 0. Calculate t.
0, 1
Let g = 109043/8 - 13630. Factor -g*d**4 + 0 - 3/8*d**3 + 0*d**2 + 0*d.
-3*d**3*(d + 1)/8
Suppose 420*o = 418*o - f - 4, -o + 4*f + 34 = 0. Determine c so that 8/5 + 72/5*c + 242/5*c**4 - 396/5*c**3 + 74/5*c**o = 0.
-2/11, 1
Determine l so that 50*l**2 + 49 - 56*l + 86*l + 82*l + 14*l**2 = 0.
-7/8
Factor 0 - 1/2*t - t**2 - 1/2*t**3.
-t*(t + 1)**2/2
Let c be ((-7287)/315)/(1/(-3)). Let w = 70 - c. Determine v, given that 3/5*v**4 + 0 + 9/5*v**3 - w*v**5 - 6/5*v - 3/5*v**2 = 0.
-1, 0, 1, 2
Suppose -8 = -2*z - 4*j, 45*z - 49*z - 5*j = -13. Factor 1/4*g**z + 3/4 - g.
(g - 3)*(g - 1)/4
Let j be ((-40)/16)/(1/(-2)). Find t such that -128*t**4 - 20*t + 118*t**4 - 5*t**5 + 15*t**3 + 25*t**2 - j*t**2 = 0.
-2, 0, 1
Suppose 0 = 10*b - 4*b + 6. Let t be ((-16)/1)/2*b. Factor 54*g**2 + 14*g**4 + 4 + 12*g + 6*g + t*g + 0*g + 46*g**3.
2*(g + 1)**3*(7*g + 2)
Let r(z) be the second derivative of z**6/105 - 3*z**5/70 + z**4/21 - 541*z. Find j such that r(j) = 0.
0, 1, 2
Let g(z) be the first derivative of z**6/180 + z**5/10 + 3*z**4/4 + z**3/3 - 4. Let q(i) be the third derivative of g(i). Factor q(w).
2*(w + 3)**2
Suppose -12*p = 36*p. Let x(d) be the first derivative of 9 + p*d + 1/2*d**3 + 0*d**2 - 3/8*d**4. Factor x(i).
-3*i**2*(i - 1)/2
Let l(c) be the third derivative of -7*c**2 + 0*c**3 - 1/60*c**6 + 0*c**5 + 0 - 1/168*c**8 + 0*c**4 + 2/105*c**7 + 0*c. Factor l(g).
-2*g**3*(g - 1)**2
Suppose -10 = -9*u + 11*u. Let l be 180/33*2/(-20)*u. What is h in -18/11*h**3 + 2/11 + l*h**2 - 14/11*h = 0?
1/3, 1
Factor -138*b**2 - 696*b**2 + 320*b**3 + 100*b**4 - 192 - 602*b**2 - 68*b**2 + 790*b + 234*b.
4*(b - 2)*(b + 6)*(5*b - 2)**2
Let z be (-45)/(-8) + (-3)/(-8). Let p be 6/4*16/z. What is y in -12*y**2 + 2*y**4 + 4*y**3 - 4*y**4 + 6*y**p - 20*y - 8 + 0*y**4 = 0?
-1, 2
Suppose 3/2 - 1/2*y**3 - 7/2*y + 5/2*y**2 = 0. Calculate y.
1, 3
Let y(w) = w**2 - 3*w + 4. Let n be y(3). Suppose n*h = -0*h + 24. Factor 11 - 11 + 3*g**2 + h*g.
3*g*(g + 2)
Suppose 300 = -5*m + 4*y, 5*m + 5*y + 199 = -101. Let g be (-21)/28 + (-57)/m. Let 1/5*x**2 + 2/5*x + g = 0. What is x?
-1
Let a(u) = -u**4 - u**2 + 2. Let i(n) = 8*n**4 - 256*n**3 + 388*n**2 - 144*n