 12/5*f**2 - 206/5.
-2*(f + 103)*(6*f + 1)/5
Factor -1036/3 + 1040/3*q - 4/3*q**2.
-4*(q - 259)*(q - 1)/3
Let a(n) = -32*n**2 + 95*n + 73. Let l(b) = 92*b**2 - 285*b - 218. Let p(q) = -7*a(q) - 2*l(q). Suppose p(h) = 0. What is h?
-5/8, 3
Let h(u) be the first derivative of -4*u**3/3 - 116*u**2 - 660*u + 673. Solve h(z) = 0 for z.
-55, -3
Find o such that -2/7*o**3 - 10/7*o**2 + 90/7 + 82/7*o = 0.
-9, -1, 5
Let v(j) be the third derivative of -1/5*j**6 + 0 + 0*j**3 - 1/8*j**4 - 11/40*j**5 + 0*j + 49*j**2 - 1/20*j**7. Find d, given that v(d) = 0.
-1, -2/7, 0
Suppose 4*t - 439 = -3*p - 473, -5*p = 70. Determine h, given that -4*h**3 + 16*h - 48 + 1/3*h**4 + 32/3*h**t = 0.
-2, 2, 6
Let o(i) be the first derivative of 3*i**5/5 + 87*i**4/4 + 247*i**3 + 1521*i**2/2 - 2130. Suppose o(z) = 0. What is z?
-13, -3, 0
Let s = 1801/798 + -11/1596. Let m(c) be the first derivative of -1/2*c**3 + s*c**2 + 1/24*c**4 + 21 - 9/2*c. Factor m(a).
(a - 3)**3/6
Let c(o) be the third derivative of 2*o**3 - 13/8*o**4 + 0*o + 83*o**2 - 2 + 9/20*o**5. Factor c(u).
3*(u - 1)*(9*u - 4)
Let j = -1056 - -1063. Let l(y) be the first derivative of -2/21*y**6 + 0*y + 0*y**2 - j + 1/7*y**4 - 4/35*y**5 + 4/21*y**3. Find z such that l(z) = 0.
-1, 0, 1
Suppose -2*g = 20, g - 2591 = 4*x - 2625. Determine t, given that x + 2/9*t**2 - 56/9*t = 0.
1, 27
Suppose -4*w - 72 = -k, -5*k + 4*w + 1887 = 1815. Factor 9/2*b - 1/2*b**3 + 4*b**2 + k.
-b*(b - 9)*(b + 1)/2
Let q be 65/(-26)*(-1)/(-10)*48/(-6). Let n(k) be the third derivative of 1/36*k**4 + 0*k**5 + 0*k**3 + 0*k + 0 - 1/180*k**6 - q*k**2. Factor n(b).
-2*b*(b - 1)*(b + 1)/3
Let j = -25391 - -279309/11. Factor -j*h**2 + 0 + 0*h - 2/11*h**3.
-2*h**2*(h + 4)/11
Factor 20776/9*k - 76832/9 + 2/9*k**3 - 400/9*k**2.
2*(k - 98)**2*(k - 4)/9
Let r be (((-16)/(-42))/(-4)*-7)/(74/444). Factor -4/13*q + 10/13*q**2 + 0 + 2/13*q**r - 8/13*q**3.
2*q*(q - 2)*(q - 1)**2/13
Let d(w) be the first derivative of -4*w**3 + 116*w**2 + 420*w - 2074. Suppose d(h) = 0. What is h?
-5/3, 21
Factor -12131*k**2 + 342*k**3 - 1298 + 12272*k**2 + 1322 - 177*k.
3*(k + 1)*(6*k - 1)*(19*k - 8)
Let w(y) be the first derivative of y**4/10 - 17*y**3/30 + y**2 + 75*y + 49. Let u(a) be the first derivative of w(a). Factor u(g).
(g - 2)*(6*g - 5)/5
Let v = 2/27 + 17/135. Suppose 4*y + 15*u - 17*u + 8 = 0, y + 8 = 2*u. Factor 1/5*m**2 + 0 + y*m + v*m**3 - 1/5*m**5 - 1/5*m**4.
-m**2*(m - 1)*(m + 1)**2/5
What is r in -416*r - 166*r**2 + 83*r**2 - 344*r + 85*r**2 + 78117 - 5917 = 0?
190
Let f(q) = q**4 - q**2 + q. Let n(i) = -22*i**4 - 104*i**3 - 188*i**2 - 100*i + 32. Let c be 21/27 - 8/(-36). Let y(m) = c*n(m) + 4*f(m). Factor y(k).
-2*(k + 2)**3*(9*k - 2)
Let g(k) be the second derivative of -1/90*k**5 - 31 - k + 0*k**2 + 0*k**3 - 1/135*k**6 + 1/27*k**4. Factor g(z).
-2*z**2*(z - 1)*(z + 2)/9
Let c(x) be the second derivative of 33*x**5/20 + 39*x**4/4 - 13*x**3 - 36*x**2 - 2154*x. Determine h, given that c(h) = 0.
-4, -6/11, 1
Let y(q) = -9*q**5 + 29*q**4 + 130*q**3 + 54*q**2 - 97*q - 51. Let k(d) = -d**5 + d**4 + 4*d**3 + 3. Let i(n) = 40*k(n) - 5*y(n). Solve i(l) = 0.
-3, -1, 1, 25
Let z(p) be the first derivative of 0*p - 3/4*p**2 + 24 - 1/12*p**3. Factor z(a).
-a*(a + 6)/4
Suppose 5*y = 3*y + 8. Suppose -y*x + 0 + 14 = -2*b, -39 = -4*x - 3*b. Factor -4*v + v**4 + 4 - x*v**2 - 2*v**4 + 8*v + 4*v**3 - 5.
-(v - 1)**4
Let y(u) be the second derivative of u**5/20 - u**3/2 + 5*u**2/2 + 14*u. Let p be y(2). Suppose -p*f - 22 - 12 + 28 - 3*f**2 - 2*f = 0. Calculate f.
-2, -1
Let t(o) = -33 - o + o + 24 + 12*o. Let a be t(9). Factor -30*l**3 - a*l**2 - 48 - 3*l**4 - 24*l - 135*l + 39*l.
-3*(l + 1)**2*(l + 4)**2
Let p(y) = -56*y**3 + 618*y**2 - 1738*y + 1476. Let k(s) = s**4 - 280*s**3 + 3090*s**2 - 8691*s + 7378. Let q(v) = -2*k(v) + 11*p(v). Factor q(h).
-2*(h - 5)*(h - 2)**2*(h + 37)
Suppose m + 9 = 25*o - 22*o, -4*m = 0. Let p(j) be the first derivative of 1/8*j**o + 7/16*j**2 - 7 + 1/4*j. Suppose p(b) = 0. Calculate b.
-2, -1/3
Let i(d) be the third derivative of d**5/210 - 5*d**4/42 - 8*d**3/7 + 23*d**2 - 1. Factor i(a).
2*(a - 12)*(a + 2)/7
Let p = 39685/6 - 6750. Let b = p - -412/3. Factor 19/2*g + 7 - b*g**2.
-(g - 7)*(3*g + 2)/2
Let s(g) = -g**3 - 3*g**2 - 32*g - 92. Let n be s(-3). Let i(q) be the second derivative of 0 + 5/6*q**n - 7*q - 5/6*q**3 - 1/4*q**5 + 0*q**2. Solve i(r) = 0.
0, 1
Let y(d) = 4*d**2 - 19*d - 6. Let o be y(6). Suppose 15 = 5*b, -29*x + 3*b = -o*x - 1. Factor 8/7*w**x + 4/7*w + 1/7*w**4 + 0 + 5/7*w**3.
w*(w + 1)*(w + 2)**2/7
Let v(h) be the second derivative of -9/2*h**2 + 0 + 1/180*h**5 - 1/18*h**3 + 8*h + 0*h**4. Let s(f) be the first derivative of v(f). Let s(z) = 0. What is z?
-1, 1
Let c = -101967/28 + 25518/7. Let g(b) be the second derivative of -c*b**2 + 1/4*b**4 + 0 - 9/4*b**3 - 12*b. Let g(k) = 0. What is k?
-1/2, 5
Let k(i) = -38*i**2 + 163*i + 181. Let q(y) = 16*y**2 - 82*y - 90. Let v(u) = 2*k(u) + 5*q(u). Factor v(t).
4*(t - 22)*(t + 1)
Let p(j) be the third derivative of -j**8/504 + 464*j**7/315 - 72073*j**6/180 + 1897511*j**5/45 - 1843919*j**4/9 + 3652264*j**3/9 + 1373*j**2. Factor p(s).
-2*(s - 154)**3*(s - 1)**2/3
Let t = -138483 + 276969/2. Let t*j - 3/2*j**5 + 21/4*j**2 + 0 - 3/4*j**4 + 9/2*j**3 = 0. What is j?
-1, -1/2, 0, 2
Let o(t) be the second derivative of t**5/40 - 19*t**3/4 + 14*t**2 + 1428*t. Factor o(h).
(h - 7)*(h - 1)*(h + 8)/2
Factor -39892 - b**2 + 59*b + 39892.
-b*(b - 59)
Suppose -4*i = -2*r, -9*i = -14*i + r + 9. Let z(m) be the first derivative of 15/2*m**4 + 8/5*m**5 + 5*m**2 - 16*m**i + 12 + 0*m. Factor z(k).
2*k*(k - 1)*(k + 5)*(4*k - 1)
Let i be 11 - -28*(-8)/32. Factor 15*y**4 + 2*y**5 - 48*y - 156*y**3 - 148*y**2 - 4*y**5 - 75*y**i - 2*y**5.
-4*y*(y + 1)**3*(y + 12)
Factor 4*a**3 + 0 + 2*a**2 + 1/2*a**5 + 5/2*a**4 + 0*a.
a**2*(a + 1)*(a + 2)**2/2
Let c(p) be the third derivative of -p**5/15 - 163*p**4/3 + 658*p**3 + 11486*p**2. Factor c(t).
-4*(t - 3)*(t + 329)
Let d(k) be the third derivative of k**6/6 - 53*k**5/15 + 55*k**4/3 - 32*k**3 + k**2 + 2*k - 10. Determine m so that d(m) = 0.
3/5, 2, 8
Suppose 0 = -3*o + 10*o. Suppose -a - 3*a + 20 = o. Factor -m**5 - 4*m**5 + a*m**4 + 43 - 43.
-5*m**4*(m - 1)
Let o(d) = -70 + 428*d - 853*d + 423*d. Let w be o(-36). Factor -2/7*x + 4/7 - 2/7*x**w.
-2*(x - 1)*(x + 2)/7
Let d = 202939/17 - 11937. Let l(m) be the first derivative of 2/51*m**3 - 4/17*m**2 - d*m - 19. Determine q so that l(q) = 0.
-1, 5
Let v = 4313/5 - 73301/85. Find r such that -2/17*r**3 + 10/17*r + v*r**2 - 12/17 = 0.
-2, 1, 3
Let m = 1158725/708103 + -1/64373. Factor 2/11*b**3 + 14/11 + m*b**2 + 30/11*b.
2*(b + 1)**2*(b + 7)/11
Let i(x) be the first derivative of -x**6/6 - 22*x**5/5 - 21*x**4/4 + 4334. Factor i(v).
-v**3*(v + 1)*(v + 21)
Let c(q) be the third derivative of -67*q**2 + 1/80*q**6 + 0*q**3 - 2 - 3/20*q**5 + 1/140*q**7 + 0*q**4 + 0*q. Factor c(x).
3*x**2*(x - 2)*(x + 3)/2
Factor -75*z - 3227*z**2 + 11*z**3 - 4*z**3 + 3232*z**2 - z**4.
-z*(z - 5)**2*(z + 3)
Let 0 - 480/7*t**2 - 4/7*t**3 - 14400/7*t = 0. What is t?
-60, 0
Let o(s) be the third derivative of 3/20*s**5 - 239*s**2 + 0 + 17/8*s**4 + 5*s**3 + 0*s. Let o(a) = 0. Calculate a.
-5, -2/3
Let u be (-1 - 54/10)/(1/40). Let n = u + 429. Suppose 5 + 169*y + 8*y**3 - 1 - n*y - 4*y**2 - 4*y**3 = 0. Calculate y.
-1, 1
Let h(s) be the first derivative of 0*s**3 + 0*s**2 + 1/60*s**5 + 1/12*s**4 - 5*s - 37. Let t(v) be the first derivative of h(v). Factor t(y).
y**2*(y + 3)/3
Suppose 365 = -5*l + 4*f, -164 = 3*l + 4*f + 23. Let b be 7500/(-117)*(4 + l/6). Factor -50/13*a**4 - 2500/13*a**2 - 6250/13*a - 500/13*a**3 - 2/13*a**5 - b.
-2*(a + 5)**5/13
Let x(o) be the third derivative of 15*o - 3*o**2 - 7/20*o**5 + 0 + 1/40*o**6 + 6*o**3 + 1/2*o**4. Determine r, given that x(r) = 0.
-1, 2, 6
Let x(i) be the first derivative of i**4/12 + i**3/9 - 5*i**2/3 + 8*i/3 + 2606. Factor x(m).
(m - 2)*(m - 1)*(m + 4)/3
Let q(c) be the third derivative of -c**5/12 + 115*c**4/8 - 170*c**3/3 - 5*c**2 + 2*c + 2. Factor q(i).
-5*(i - 68)*(i - 1)
Let j(g) be the third derivative of -4*g**3 - 2/3*g**4 + 176*g**2 + 0 + 1/60*g**6 + 1/30*g**5 + 0*g. Factor j(m).
2*(m - 3)*(m + 2)**2
Let o = 7043/75 + -1408/15. Let h(q) be the second derivative of -1/5*q**4