7/200*z**5 - 25 + 1/20*z**3 + 1/40*z**4 - 4*z + 1/100*z**6. Factor h(u).
(u - 1)**3*(3*u + 2)/10
Suppose -81608/3 - 808/3*b - 2/3*b**2 = 0. What is b?
-202
Let v be 15963/(-561) + (43 - 12). Solve 18/11*w + 2/11*w**2 + v = 0 for w.
-7, -2
Factor -753*c - 5*c**3 + 312*c**2 - 12*c**3 + 15*c**4 + 33*c - 18*c**4 - 4*c**3.
-3*c*(c - 4)**2*(c + 15)
Determine f so that -47/4*f + 15/2 + 15/4*f**3 + 3/4*f**2 - 1/4*f**4 = 0.
-2, 1, 15
Suppose 7*y - 6309 = -2585. Let c be (-2)/1 + y/190. Solve 4/5*d**2 - c*d - 8/5 = 0 for d.
-1, 2
Let c(m) be the second derivative of -m**4/6 - m**3/9 - 6*m + 164. Factor c(y).
-2*y*(3*y + 1)/3
Let t(v) be the first derivative of v**3/2 - 12*v**2 + 165*v/2 - 167. Factor t(x).
3*(x - 11)*(x - 5)/2
Let b(h) = h**2 - 16*h - 32. Suppose -33 - 3 = -2*k. Let y be b(k). Suppose -36/5*s - 33/5*s**2 + 21/5*s**y + 36/5*s**3 + 12/5 = 0. What is s?
-2, -1, 2/7, 1
Factor 1458/5 - 1188/5*p + 242/5*p**2.
2*(11*p - 27)**2/5
Let j be -6 + (-21)/(-2) - (-1)/(-2). Let 28*i**j - 1256 + 4144*i - 139 + 4920*i**2 - 764*i**3 - 173 = 0. Calculate i.
-1, 2/7, 14
Let w(u) = 199*u**2 - 46*u + 94. Let g be w(2). Suppose g*d - 788*d = 0. Find x such that d + 8*x - 2/3*x**2 = 0.
0, 12
Let k(f) be the second derivative of -f**6/360 - 2*f**5/45 - f**4/6 - 50*f**2 + 73*f + 1. Let p(l) be the first derivative of k(l). Factor p(t).
-t*(t + 2)*(t + 6)/3
Let x(w) be the first derivative of 2*w**5/45 + w**4/3 - 22*w**3/27 - 20*w**2/3 + 200*w/9 - 1324. Suppose x(l) = 0. Calculate l.
-5, 2
Let h(g) be the third derivative of -g**8/1680 - 151*g**7/1050 - 2389*g**6/200 - 83369*g**5/300 + 272473*g**4/30 - 297754*g**3/5 - 4*g**2 - 6. Factor h(n).
-(n - 6)*(n - 2)*(n + 53)**3/5
Suppose 0 = -4*a - 5*a + 45. Suppose 0*f + f + 13 = 4*b, -5*b + 35 = -a*f. Factor -35*r**b - 5*r + 62*r**2 - 32*r**2.
-5*r*(r + 1)
Let o(p) be the first derivative of p**7/14 - p**6/6 - p**5/3 - p**2 + 15*p + 40. Let x(k) be the second derivative of o(k). Find b, given that x(b) = 0.
-2/3, 0, 2
Determine p so that 21615 - 4*p**4 + 296*p + 588*p**2 - 21615 + 288*p**3 = 0.
-1, 0, 74
Let g(l) be the first derivative of 5*l**4/4 + 15*l**2/2 - 4*l - 62. Let o(f) = 6*f**3 + 17*f - 5. Let d(h) = -7*g(h) + 6*o(h). Factor d(r).
(r - 2)*(r + 1)**2
Let g(a) = -a**2 + 8*a + 3. Let t be g(7). Let t*w**2 - 15*w + 20*w**3 + 5*w**4 - 9*w + 4*w - 15 = 0. Calculate w.
-3, -1, 1
Factor 332 + 8*h - 109 - 142 + 2*h**2 - 123.
2*(h - 3)*(h + 7)
Let p(c) be the second derivative of 1/6*c**4 + 0*c**2 + 2*c**3 - 1 + 8*c. Factor p(z).
2*z*(z + 6)
Let c = -86/391 - -313402/2737. Factor c + 2/7*q**2 - 80/7*q.
2*(q - 20)**2/7
Let z = 2689252/1940223 + -3/34039. Let v = z + -1/19. Solve 0 - 2/3*x**3 - 2/3*x - v*x**2 = 0 for x.
-1, 0
Let x(p) be the third derivative of -p**9/80640 + p**8/3840 + 26*p**5/15 + 31*p**2. Let z(d) be the third derivative of x(d). Factor z(a).
-3*a**2*(a - 7)/4
Suppose 2*t - 61 = -3*m, 5*m - 127 = 6*t - 3*t. Suppose 25*u - m*u = 0. Factor 0*k**2 + 3/2*k**3 + u + 3/2*k**4 + 0*k.
3*k**3*(k + 1)/2
Solve -665500000 - 69417453*y**2 - 110892948*y**2 - 1654*y**4 + 356*y**5 + 669130000*y - 355*y**5 + 10298801*y**2 + 797652*y**3 + 116452*y**3 = 0.
2, 550
Let x(d) be the first derivative of 8/3*d**3 + 5*d**6 + 0*d**2 + 62/5*d**5 - 23 + 0*d + 10*d**4. Find z such that x(z) = 0.
-1, -2/3, -2/5, 0
Let j be 5/25 + (-59031)/105. Let z = 564 + j. Solve -72/11 - 42/11*c - 6/11*c**z = 0 for c.
-4, -3
Let q(l) be the second derivative of 59*l**6/120 - 29*l**5/20 - l**4/12 + 4181*l. Let q(o) = 0. What is o?
-2/59, 0, 2
Let u(j) be the second derivative of 8*j**7/63 - 2*j**6/135 - 43*j**5/30 - 8*j**4/9 + 20*j**3/27 + 647*j. Let u(p) = 0. Calculate p.
-2, -2/3, 0, 1/4, 5/2
Let m(t) be the second derivative of t**9/15120 + t**8/3360 + t**7/2520 - t**4/6 - 3*t**2/2 - 29*t. Let y(u) be the third derivative of m(u). Factor y(i).
i**2*(i + 1)**2
Let q(c) be the first derivative of -c**3/2 - 477*c**2/4 - 1155*c - 1373. Factor q(m).
-3*(m + 5)*(m + 154)/2
Let r(z) be the second derivative of -z**4/5 + 68*z**3/15 + 48*z**2/5 - z - 25. Factor r(l).
-4*(l - 12)*(3*l + 2)/5
Suppose 4 = -i + 3*i. Let i*v + 25*v**3 - 2*v + 5*v**4 + 215*v**2 - 195*v**2 = 0. Calculate v.
-4, -1, 0
Suppose -3*u = -2*g + 15, 12 = 10*u - 14*u. Let i(b) be the first derivative of -14/33*b**g + 7 - 2/11*b**4 - 2/11*b**2 + 2/11*b. Find z, given that i(z) = 0.
-1, 1/4
Let d(v) be the second derivative of 29/36*v**3 + 5/6*v**2 + 42*v - 1/24*v**4 + 0. Factor d(i).
-(i - 10)*(3*i + 1)/6
Let y = -148 - -150. Factor 111*k + 6 + k**y - 123*k + 5.
(k - 11)*(k - 1)
Factor 164/5*g + 9*g**2 + 1/5*g**3 + 0.
g*(g + 4)*(g + 41)/5
Let k = 1793 - 12541/7. Let y(x) be the first derivative of -32/35*x**5 - 1/7*x**2 + 0*x - k*x**4 - 16/21*x**3 + 6. Factor y(g).
-2*g*(2*g + 1)**2*(4*g + 1)/7
Let j be 7362/1680 + (-7)/56 - (754/(-65) - -12). Determine s, given that 75/7*s + 18/7*s**2 - j = 0.
-9/2, 1/3
Let q be (-1)/9 - ((-83509)/(-3663) - 23). Let k(m) be the first derivative of -16 - 4/33*m**3 - q*m**2 - 1/22*m**4 + 0*m. Factor k(g).
-2*g*(g + 1)**2/11
Factor 105/4*h**2 - 3/4*h**4 + 0 - 12*h**3 - 27/2*h.
-3*h*(h - 1)**2*(h + 18)/4
Let z(v) be the third derivative of 0 + 0*v + 1/45*v**5 - 69*v**2 + 2/9*v**4 + 0*v**3 - 5/504*v**8 - 11/60*v**6 + 4/45*v**7. Let z(a) = 0. What is a?
-2/5, 0, 1, 4
Let y be (-1)/(-1)*(-47 + 47). Let k(o) be the second derivative of 1/48*o**4 + 0*o**2 + 0*o**3 - 1/168*o**7 - 1/120*o**6 + 1/80*o**5 + 14*o + y. Factor k(j).
-j**2*(j - 1)*(j + 1)**2/4
Let w be (-7)/(-30)*(-6948)/(-4053). Let -2 - 22/5*y - w*y**3 - 14/5*y**2 = 0. Calculate y.
-5, -1
Factor -6710/9*i + 238/9*i**2 - 7442/3 - 2/9*i**3.
-2*(i - 61)**2*(i + 3)/9
Let l(m) be the second derivative of 49*m**6/150 + 63*m**5/50 + m**4 + 4*m**3/15 - 2177*m. Factor l(p).
p*(p + 2)*(7*p + 2)**2/5
Let v(f) be the third derivative of -f**6/300 + f**5/5 + 343*f**4/60 + 104*f**3/5 + 7*f**2 - 179. Determine z, given that v(z) = 0.
-8, -1, 39
Suppose 99*c - 57*c - 20*c = 66. Factor -3/2*z**4 + 0*z**c + 9/2*z**2 + 0 + 3*z.
-3*z*(z - 2)*(z + 1)**2/2
Let d = 330 - 148. Factor -212*s + 5*s**2 + 60 - 20 + d*s.
5*(s - 4)*(s - 2)
Let t be ((-2)/6)/((-1 + 0)/9). Suppose 0 = 77*r - 42*r. Factor 0 + 1/2*j**t + r*j + 3*j**2.
j**2*(j + 6)/2
Let i(c) be the first derivative of -724*c**3/3 - 726*c**2 - 8*c + 212. Solve i(l) = 0 for l.
-2, -1/181
Let q(c) be the first derivative of 3*c**5/10 + 45*c**4/8 + 67*c**3/2 + 279*c**2/4 + 60*c - 310. Factor q(s).
3*(s + 1)**2*(s + 5)*(s + 8)/2
Let c = -332015/3 - -5644297/51. Factor 96/17 - 332/17*q - c*q**2.
-2*(q + 24)*(7*q - 2)/17
Let p be (-5)/((-180)/88) + (157/(-9) - (728 + -745)). Factor 845 + 1/5*x**p + 26*x.
(x + 65)**2/5
Let z(c) be the third derivative of -c**6/12 - 29*c**5/12 + 10*c**4/3 + 25*c**3/2 - 2*c**2 - 17*c. Factor z(l).
-5*(l - 1)*(l + 15)*(2*l + 1)
Let c = -66 + 67. Let p be c - 4/(-12)*-3. Find f, given that -8*f + 6*f**3 + 2*f**4 - 12*f**2 - 4*f**3 + p*f**3 + 16 = 0.
-2, 1, 2
Let s = 40 - 38. Suppose 3*q = s*f - 3 + 1, -4 = -4*q + f. Factor -8 - 60*v + 9*v**q + 40*v + 3*v**2.
4*(v - 2)*(3*v + 1)
Factor -79 + 199*t**2 + 235/2*t + 5/2*t**3.
(t + 1)*(t + 79)*(5*t - 2)/2
Let d(v) be the first derivative of 11/6*v**3 - 9/8*v**4 + 0*v + 37 - 1/2*v**2. Suppose d(q) = 0. What is q?
0, 2/9, 1
Let k(n) be the second derivative of -n**5 + 12*n**4 - 220*n**3/3 + 15*n. Let c(v) = 7*v**3 - 48*v**2 + 147*v. Let t(d) = 8*c(d) + 3*k(d). Factor t(z).
-4*z*(z - 6)**2
Determine q so that -58/7*q**2 - 2/7*q**3 + 0 - 200/7*q = 0.
-25, -4, 0
Suppose -21*b - 18 = 192. Let j(c) = -c**2 - 7*c - 2. Let s(t) = -t + 2. Let n(p) = b*s(p) + 5*j(p). Factor n(f).
-5*(f + 2)*(f + 3)
Let u(f) be the third derivative of f**6/270 - 79*f**5/135 + 992*f**4/27 - 10240*f**3/9 - 5241*f**2. Let u(v) = 0. What is v?
15, 32
Let v be 2 - (-8 - 2)/(-5). Suppose -13*x + 8*x = -g, 5*g - x = v. Factor 0 + 2/3*z**4 + g*z + 8/3*z**3 + 8/3*z**2.
2*z**2*(z + 2)**2/3
Let h be (12/(-28))/((-4)/238). Suppose 3*k = -2*r + 13, -4*r - 4 = 4347*k - 4351*k. Factor -k - 57/2*f - h*f**2.
-3*(f + 1)*(17*f + 2)/2
Suppose -4*r + 364 = 9*r. Suppose 12 = 32*c - r*c. Find v such that 11*v**3 + 4*v**4 - 16*v**2 - 17*v**3 + 6*v**c = 0.
-2, 0, 2
Let v(m) = -m**4 - m - 3. Let y(f) = 44*f**4 - 148*f**3 - 56*f**2 + 142*f - 12.