m) = 0.
-26, 3/2
Factor 66/13*o**2 + 0 - 2/13*o**3 + 296/13*o.
-2*o*(o - 37)*(o + 4)/13
Let o(z) be the second derivative of -2 + 46*z + 1/2*z**4 + 1/2*z**3 - 3/20*z**5 - 3*z**2. Factor o(j).
-3*(j - 2)*(j - 1)*(j + 1)
Suppose -21*d + 4*d = -102. Factor -56 - d*h + 4*h**2 - 26*h + 40 + 5*h**3 + 3*h**3.
4*(h - 2)*(h + 2)*(2*h + 1)
Let a(o) be the second derivative of -o**4/60 + 9*o**3/10 - 46*o**2/5 + 175*o. Factor a(w).
-(w - 23)*(w - 4)/5
Let o(v) = v**5 - 2*v**4 - v**3 + 1. Let c(m) = 13*m**5 - 249*m**4 + 1332*m**3 - 558*m**2 - 740*m + 201. Let q(s) = -c(s) + o(s). What is t in q(t) = 0?
-2/3, 1/4, 1, 10
Let t(c) be the third derivative of 52*c**2 + 2/525*c**7 - 1/120*c**8 + 0*c**3 + 2*c - 1/75*c**5 + 0 + 0*c**4 + 7/300*c**6. Find a such that t(a) = 0.
-1, 0, 2/7, 1
Let m(v) be the second derivative of v**4/8 + 277*v**3/4 + 8746*v. Factor m(l).
3*l*(l + 277)/2
Determine p so that -8920/7 - 31228/7*p - 4*p**2 = 0.
-1115, -2/7
Let u = -31376 - -31396. Let v(z) be the second derivative of 1/2*z**6 + 0 + 0*z**5 - 5/3*z**4 + 0*z**3 + 0*z**2 - 5/42*z**7 + u*z. Factor v(y).
-5*y**2*(y - 2)**2*(y + 1)
Let t be 25*(-228)/950 - 13/(-2). Let b = -2 + 4. Let 1/2*n + 0 - t*n**b = 0. Calculate n.
0, 1
Let o(m) be the third derivative of -5*m**8/336 + 17*m**7/21 + m**6/8 - 25*m**5/3 - 85*m**4/6 - 688*m**2 - m. Suppose o(u) = 0. What is u?
-1, 0, 2, 34
Let s = 1082959/5 - 216590. Solve 1/5*z**3 + s - 9/5*z**2 - 1/5*z = 0.
-1, 1, 9
Let q(k) be the first derivative of -52*k**4 + 32/5*k**5 - 99 - 250*k + 70*k**3 + 100*k**2. Factor q(u).
2*(u - 5)*(u + 1)*(4*u - 5)**2
Suppose -7*b - 22 + 64 = 0. Let o be 1/2 + ((-405)/(-70) - b). Factor -2/7*a**4 + 2/7*a + o*a**2 + 0 - 2/7*a**3.
-2*a*(a - 1)*(a + 1)**2/7
Let w(s) = 35*s**2 - 87*s + 42. Let b(d) = 47*d**2 - 116*d + 56. Let q(j) = 10*b(j) - 13*w(j). Find p, given that q(p) = 0.
14/15, 1
Let l(q) be the first derivative of 27*q**5/35 + 237*q**4/28 + 144*q**3/7 - 54*q**2/7 + 7076. Find j such that l(j) = 0.
-6, -3, 0, 2/9
Let m be ((-6244)/24640)/((-7)/3 - -2). Let c = 7/176 + m. Factor 16/5*d**4 + 0*d + 0*d**2 + 0 + 0*d**3 - c*d**5.
-4*d**4*(d - 4)/5
Let q be (-10)/4*(-2)/1. Let s(r) = 156*r + 1872. Let m be s(-12). Factor -22*x**3 - 2*x**5 + 7*x**q + 37*x**3 + 15*x**4 + m*x**2 + 5*x**2.
5*x**2*(x + 1)**3
Let a be (1 + 0)*(-14 + 2 + 8). Let b(r) = -2*r**2 + 1. Let q(z) = 5*z**2 - 27*z + 26. Let p(o) = a*b(o) - q(o). Factor p(t).
3*(t - 1)*(t + 10)
Find s such that 202*s**2 - 208*s - 50 + 58*s**2 - 23 + 16*s**3 + 0*s**2 + 5 = 0.
-17, -1/4, 1
Let n(c) = 2*c + 2*c**2 - 134 + c**2 + 136. Let d be n(-4). Let -12*w**2 - d*w**3 + 80*w**3 + 8*w - 34*w**3 = 0. What is w?
0, 1, 2
Suppose -3/5*m**4 + 9*m - 9/5*m**3 + 21/5*m**2 - 54/5 = 0. Calculate m.
-3, 1, 2
Let g(k) be the first derivative of 1/6*k**2 - 1/12*k**4 + 42 - 4/3*k**3 + 4*k. Find n, given that g(n) = 0.
-12, -1, 1
Factor 610*u**2 + 1607619 + 3952143*u + u**3 + 3365*u**2 + 2520523 - 179973.
(u + 1)*(u + 1987)**2
Let u(p) = p**3 + 4*p**2 - 326*p - 984. Let o be u(-3). Let 0 - 21/4*y**4 + 2*y - 19/4*y**o + 5/2*y**2 = 0. Calculate y.
-1, -4/7, 0, 2/3
Let z be (-4 + 8 + -3)*2/1. Let i be (14/21)/(z/9). Solve -2*j**5 + 20 - 40*j - i*j**5 - 5*j**4 + 1342*j**3 + 5*j**2 - 1317*j**3 = 0.
-2, 1
Let r = -42 - -47. Suppose -8*y + 133 = r. Factor 2*j - 11*j**2 - 9*j - 3*j + y*j**2.
5*j*(j - 2)
Let 2/3*d**2 - 10/3 + 8/3*d = 0. Calculate d.
-5, 1
Let w(x) be the third derivative of 27*x**6/8 + 150*x**5 + 4625*x**4/6 + 5000*x**3/3 - 8998*x**2. What is g in w(g) = 0?
-20, -10/9
Let u(l) be the first derivative of 5/3*l**3 + 25*l**2 - 102 + 0*l. Let u(t) = 0. Calculate t.
-10, 0
Let c = -539 - -667. Let s be 6/((-724)/c - -5)*-1. Suppose s - 4/7*m**3 - 32/7*m - 4*m**2 = 0. What is m?
-4, 1
Let v(u) = -u**3 + u**2 + 5*u + 1. Let b be v(-2). Solve -8*c**2 + 6*c**b - 21*c**3 - 4*c**4 - 2*c**2 - c**4 = 0 for c.
-2, -1, 0
Let j = -4847 - -4851. Let x(i) be the second derivative of 1/12*i**j - i**3 + 19*i + 1/30*i**6 + 1/5*i**5 + 0*i**2 + 0. Suppose x(s) = 0. Calculate s.
-3, -2, 0, 1
Determine r so that -4*r**5 - 113*r**4 + 5*r**2 - 115*r**4 - 528*r + 108*r**4 - 21*r**2 + 396*r**3 = 0.
-33, -1, 0, 2
Let r(y) be the first derivative of -y**4/2 + 462*y**3 - 160083*y**2 + 24652782*y - 6388. Factor r(g).
-2*(g - 231)**3
Let x = -6275 + 6280. Let l(j) be the third derivative of 0*j - 2/3*j**3 + j**2 + 0 + 1/20*j**x - 1/120*j**6 + 0*j**4. Factor l(f).
-(f - 2)**2*(f + 1)
Let k(t) be the second derivative of -2*t**3 + 34 + 7/12*t**4 + 2*t - 2*t**2. Suppose k(f) = 0. What is f?
-2/7, 2
Let l = -3569 - -749491/210. Let x(b) be the third derivative of -l*b**5 + 0*b**4 + 0 + 1/420*b**6 + 0*b**3 + 0*b - 5*b**2. Solve x(n) = 0.
0, 1
Let x = 477606 + -4298452/9. Factor 72 + 8*a + x*a**2.
2*(a + 18)**2/9
Let z(u) be the third derivative of 0*u - 40*u**2 - 1/780*u**6 + 1/455*u**7 + 0*u**4 + 0 + 1/546*u**8 + 0*u**3 + 0*u**5. Find h such that z(h) = 0.
-1, 0, 1/4
Let l(a) be the second derivative of a**5/60 + 7*a**4/18 + 41*a**3/18 - 28*a**2/3 - 1653*a. Factor l(j).
(j - 1)*(j + 7)*(j + 8)/3
Let b(i) be the first derivative of -9*i**5 - 825*i**4/2 - 15665*i**3/3 - 4950*i**2 - 1620*i - 723. Solve b(d) = 0.
-18, -1/3
Suppose 996*r**2 + 876/5*r**3 - 171/5*r**4 + 6/5*r**5 - 3072/5 + 3456/5*r = 0. Calculate r.
-2, 1/2, 16
Let m(c) = c**3 - c**2 - 27*c - 13. Let p be m(6). Let q(g) be the first derivative of 1/12*g**3 + 1/4*g**2 - 3/4*g + p. Factor q(z).
(z - 1)*(z + 3)/4
Let b be -7 - (-11)/(4 + -3). Let n(s) be the second derivative of 1/90*s**b + 15*s + 2/45*s**3 + 1/15*s**2 + 0. Factor n(y).
2*(y + 1)**2/15
Let b(h) = h**3 - 8*h**2 + 2. Let o be b(8). Suppose -j + 2*d + 2 = -5*j, -d = -3*j + 1. Factor j*s + 0 + 2/9*s**o.
2*s**2/9
Let s be ((-92)/138 - 46/3) + 18. Suppose -8 - 4/3*t + 1/3*t**3 + 2*t**s = 0. Calculate t.
-6, -2, 2
Let t(c) be the second derivative of 0*c**6 + 99*c - 3/70*c**5 + 1/147*c**7 + 0*c**3 + 1/21*c**4 + 0 + 0*c**2. Suppose t(u) = 0. Calculate u.
-2, 0, 1
What is q in -40*q**2 + 19*q**2 - 15*q**2 + 3*q**2 - 324*q - 66*q**2 + 3*q**3 = 0?
-3, 0, 36
Suppose 11*h = 57 - 68. Let f be (h/(-2))/(-11 + 665/60). Find p, given that 57/4*p**3 - f*p**2 - 21/4*p**4 - 3*p + 0 = 0.
-2/7, 0, 1, 2
Suppose 0 = -15*t - 49*t + 384. Suppose -t*g**5 - 22 + 11*g**4 - 7*g**4 + 78*g**2 - 30*g - 55*g**4 - 5 + 36*g**3 = 0. Calculate g.
-9, -1, -1/2, 1
Let t(i) be the third derivative of -1/210*i**6 + 224*i**2 + 4*i**3 + 83/42*i**4 + 0*i + 8/21*i**5 + 0. Solve t(m) = 0 for m.
-1, 42
Let y(n) be the third derivative of -n**7/1050 + n**6/100 - 11*n**5/300 + n**4/20 + 2*n**2 + 39*n. Solve y(w) = 0 for w.
0, 1, 2, 3
Let u = -31755 - -635279/20. Let p = -29/20 + u. Find f, given that p + 9*f + 3/2*f**2 = 0.
-5, -1
Let i(b) be the second derivative of -b**6/15 + 11*b**5/10 - 20*b**4/3 + 16*b**3 + 2*b + 480. What is z in i(z) = 0?
0, 3, 4
Suppose 90*r = 83*r + 21. Let -136 - 61*a**2 + 3*a**3 - 83*a**2 + 276*a + a**r = 0. What is a?
1, 34
Let o(x) = -14*x**3 + 184*x**2 + 2*x - 188. Let v(s) = -3*s**3 - s**2. Let j(d) = -o(d) + 4*v(d). Factor j(q).
2*(q - 94)*(q - 1)*(q + 1)
Let g(o) be the third derivative of 1/390*o**5 + 0 + 11/156*o**4 + 45*o**2 + 0*o**3 + 0*o. Factor g(j).
2*j*(j + 11)/13
Let r(a) = 5*a + 1. Let w(y) = y**2 + 70*y - 505. Let v(h) = -5*r(h) - w(h). Factor v(o).
-(o - 5)*(o + 100)
Let w(g) = -g**3 + 9*g**2 + 8*g - 99. Let f be w(8). Determine u so that 48*u**3 + 4*u**5 - 3*u**2 - 302*u**4 + 278*u**4 - f*u**2 = 0.
0, 2
Factor 8/3*g**3 + 26*g**2 + 50 - 620/3*g.
2*(g - 5)*(g + 15)*(4*g - 1)/3
Let h(c) be the first derivative of -c**4/30 - 28*c**3/45 + 17*c**2/5 + 1803. Factor h(f).
-2*f*(f - 3)*(f + 17)/15
Let o(l) be the second derivative of -3*l**5/130 + 47*l**4/39 - 733*l**3/39 + 18*l**2 + 5*l + 10. Find a, given that o(a) = 0.
1/3, 13, 18
Let m(q) = q + 32. Let j be m(-28). Let f be 4/32*4*4. Suppose 4*b**f - 4*b**2 + 4*b + j*b**2 + 16*b = 0. What is b?
-5, 0
Let x(c) be the first derivative of 18/17*c**2 - 26/17*c**3 - 6/85*c**5 - 2 + 10/17*c**4 + 0*c. Solve x(w) = 0.
0, 2/3, 3
Suppose v = -8*v - v - 14*v. Determine l, given that 1/3*l**5 + 2/3*l**3 + 1/6*l**2 + 5/6*l**4 + v*l + 0 = 0.
-1, -1/2, 0
Let a = 39110/78217 - 3/156434. Solve -1/6*t - a*t**3 - 5/6*t**4 + 0 + 2/3*t**5 + 5/6*t**2 = 0 fo