0*h**4 - 4437*h**3 + 1970*h = 0?
-4, 1/2, 26
Let g be (-135)/27 - (-32 + 6 + -2). Let s(u) be the first derivative of -100*u - 1/3*u**3 + g + 10*u**2. Let s(r) = 0. What is r?
10
Let f(i) = i**2 + 965*i + 206075. Let u be f(-319). Determine r so that r**3 + 3/4*r**2 + 1/4*r**4 - r - u = 0.
-2, -1, 1
Let d(q) = -q**2 - 20*q - 112. Let k(j) = -2*j**2 - 40*j - 226. Let b be (-72)/16*12/(-9). Let w(v) = b*k(v) - 13*d(v). Factor w(u).
(u + 10)**2
Let y = 234 + -232. Factor -4*n**5 + n**3 - n**4 + 8*n**4 + 3*n**5 - 4*n**y - 3*n**4.
-n**2*(n - 4)*(n - 1)*(n + 1)
Let g(u) be the second derivative of u**6/240 - 7*u**5/60 + 5*u**4/4 - 6*u**3 + 21*u**2/2 + 75*u + 1. Let h(r) be the first derivative of g(r). Factor h(m).
(m - 6)**2*(m - 2)/2
Let r(h) be the third derivative of h**6/660 + 29*h**5/330 - 3*h**4/11 - 60*h**3/11 - h**2 - 16*h. Factor r(f).
2*(f - 3)*(f + 2)*(f + 30)/11
Let m be 6/(-8) + ((-5750)/(-40))/25. Suppose 16 = 4*x + 2*b, 7*x + 16 = 5*x + m*b. Factor 2 - 1/2*p**x + 0*p.
-(p - 2)*(p + 2)/2
Determine b so that 2/11*b**4 - 1448/11*b**2 - 1050/11 + 196/11*b**3 + 2300/11*b = 0.
-105, 1, 5
Let w(v) be the first derivative of -20*v**5 + 16480*v**4/3 - 10837216*v**3/27 - 1450240*v**2/9 - 193600*v/9 + 3206. What is c in w(c) = 0?
-2/15, 110
Let w(s) be the first derivative of s**5/12 - 5*s**4/12 + 5*s**3/6 + s**2/2 - 101*s - 168. Let h(f) be the second derivative of w(f). Solve h(y) = 0.
1
Let b(c) be the first derivative of c**6/24 + 4*c**5/5 + 15*c**4/16 + 3723. Let b(i) = 0. Calculate i.
-15, -1, 0
Let m(p) = p**2 - 23*p - 21. Let z be m(24). Factor 19*a**2 - 44 + 43*a**2 + 5*a**3 + 48*a - 13*a**z + 22*a**2.
-4*(a - 11)*(a + 1)*(2*a - 1)
Suppose 472 - 4*l**3 - 156*l**2 - 2206 - 1596*l + 290 = 0. What is l?
-19, -1
Factor -140*k**2 + 88/3*k**3 + 0*k + 0 - 4/3*k**4.
-4*k**2*(k - 15)*(k - 7)/3
Let r = 704285 - 704253. Solve 432/7*x + r + 36/7*x**3 - 4/7*x**4 + 248/7*x**2 = 0 for x.
-2, -1, 14
Let z be ((-345)/460 - -1046*5/520) + -9. Factor -z*q**2 + 0*q - 4/13*q**4 + 0 - 10/13*q**3.
-2*q**2*(q + 2)*(2*q + 1)/13
Let i = -67198 + 67198. Factor 32/5*p**5 - 48/5*p**4 + 0*p - 54/5*p**2 + i - 126/5*p**3.
2*p**2*(p - 3)*(4*p + 3)**2/5
Let p be (-4 + 2401/601)/(-1 - 0). Let y = 12029/1803 - p. Factor -8/3 - y*u + 28/3*u**2.
4*(u - 1)*(7*u + 2)/3
Let z(a) be the second derivative of -8*a**6/25 - 42*a**5/5 - 897*a**4/20 + 251*a**3/5 - 39*a**2/2 + 2809*a - 1. Determine l so that z(l) = 0.
-13, -5, 1/4
Suppose -601/3*g**2 + 427/3*g**3 - 104*g + 27*g**5 + 147*g**4 - 12 = 0. What is g?
-3, -2/9, 1
Let x = 286961 + -573905/2. Factor -2*f**4 - 1/4*f**5 - 3/2 - 23/4*f - 6*f**3 - x*f**2.
-(f + 1)**3*(f + 2)*(f + 3)/4
Let t(b) be the second derivative of b**4/90 - 7*b**3/45 - 30*b**2 - 19*b + 25. Let t(m) = 0. What is m?
-18, 25
Let c = 362 - 360. Factor -14*r - 4 + 33 + 2*r**c - 5.
2*(r - 4)*(r - 3)
Let a(n) be the first derivative of n**3 - 10*n**2 - 18*n + 44. Let b(z) = 3*z**2 - 21*z - 18. Let j(t) = 6*a(t) - 5*b(t). Factor j(h).
3*(h - 6)*(h + 1)
Let t(d) be the third derivative of -d**8/112 + 248*d**7/35 - 12201*d**6/8 - 62001*d**5/10 + d**2 - 361*d - 2. Factor t(l).
-3*l**2*(l - 249)**2*(l + 2)
Let j(d) = d**2 - 9*d + 12. Let u be j(7). Let a be 6 - 8 - 58/u. Factor 0 + a*m**2 - 29*m**2 + 2.
-2*(m - 1)*(m + 1)
Let t(k) be the third derivative of 0 - 5/48*k**4 + 0*k**3 + 1/120*k**5 + 0*k + 45*k**2. Factor t(j).
j*(j - 5)/2
Let z be ((-208)/4)/(-9 + 11). Let d be 2/12*z - -5. Solve -2/3*c**4 - d*c**3 + 0 + 0*c**2 + 0*c = 0 for c.
-1, 0
Suppose 377*m = 369*m. Factor 2/3*d**3 - 26/3*d + m + 8*d**2.
2*d*(d - 1)*(d + 13)/3
Let i = -700 + 707. Factor -119 + 5*n**3 - 4*n**2 + 479 + 60*n - 53*n**2 + i*n**2.
5*(n - 6)**2*(n + 2)
Let h(n) = -6*n**2 + 224*n + 6. Let o(l) = -l**2 + 43*l + 2. Let i(g) = 3*h(g) - 16*o(g). Factor i(z).
-2*(z + 1)*(z + 7)
Let h(n) be the first derivative of -n**4/4 + 11*n**3/3 - 4*n**2 - 20*n - 1189. Factor h(u).
-(u - 10)*(u - 2)*(u + 1)
Let y(n) be the second derivative of -9*n**4 - 2*n - 34*n**3 - 7 - 1/5*n**5 - 50*n**2. Let y(l) = 0. Calculate l.
-25, -1
Let x(q) be the first derivative of 3*q**4/4 + 39*q**3 + 1377*q**2/2 + 4335*q + 380. Determine r, given that x(r) = 0.
-17, -5
Factor 15176114964/7*k - 1752*k**4 + 3/7*k**5 - 7613112834/7*k**2 + 16719915/7*k**3 - 7579709784/7.
3*(k - 1362)**3*(k - 1)**2/7
Let m = -1375 + 1378. Let y(s) be the third derivative of -1/225*s**5 + 0*s**m + 0*s + 16*s**2 + 1/900*s**6 + 0 + 0*s**4. Let y(h) = 0. What is h?
0, 2
Let v(b) be the first derivative of -b**6/57 + 1014*b**5/95 - 42841*b**4/19 + 9652604*b**3/57 + 85683*b**2/19 - 9653618*b/19 - 173. Solve v(k) = 0.
-1, 1, 169
Suppose 0 = -4*g + 2*g - 2*a + 238, -3*g + a + 349 = 0. Suppose 57*h - g = 44*h. Solve 3*i - h - 1/4*i**2 = 0.
6
Let n(f) = -f - 2*f**2 + 0*f - 4*f + 3*f**3. Let x(v) = -v**3 + v**2 + 2*v. Let y(c) = c**3 - 5*c + 3. Let j be y(-2). Let i(z) = j*x(z) + 2*n(z). Factor i(w).
w**2*(w + 1)
Factor 1248/7*t - 144/7*t**4 + 0 - 2/7*t**5 + 912/7*t**3 - 1856/7*t**2.
-2*t*(t - 2)**3*(t + 78)/7
Let l(n) be the first derivative of n**6 - 3*n**5 + 10*n**3 - 15*n**2 + 9*n - 281. Factor l(z).
3*(z - 1)**4*(2*z + 3)
Let c be 53/39*9 + (363 - 374). Factor -c - 24/13*k - 2/13*k**3 - 12/13*k**2.
-2*(k + 2)**3/13
Suppose -o - 23*o + 9096 = 0. Let r = -376 + o. Factor 1/2*b**4 + 1/2*b**r + 0 + 0*b - b**2.
b**2*(b - 1)*(b + 2)/2
Solve 0 - 6*m**2 + 24*m**4 - 156/11*m**3 + 48/11*m**5 + 36/11*m = 0.
-6, -1/2, 0, 1/2
Let f(n) be the third derivative of 0*n + 0*n**3 - 3/8*n**4 - 1/20*n**5 - 3 - 9*n**2. Find o, given that f(o) = 0.
-3, 0
Solve -134*p**3 + 0*p + 0 + 14/5*p**2 - 96/5*p**4 = 0.
-7, 0, 1/48
Let w(x) = -x**3 - 16*x**2 - x + 1. Let m(a) = -8*a**3 + 3947*a**2 - 7973*a + 3. Let q(h) = -m(h) + 3*w(h). Determine o, given that q(o) = 0.
0, 2, 797
Let k = -752 - -796. What is b in -8*b**2 - 4*b**2 - k*b + 66 - 21 - 10*b**2 + 21*b**2 = 0?
-45, 1
Let s(t) = -15*t**4 + 9*t**3 + 27*t**2 - 105*t - 90. Let g(v) = 6*v**4 - 4*v**3 - 11*v**2 + 42*v + 36. Let p(l) = 18*g(l) + 7*s(l). Find f such that p(f) = 0.
-1, 2, 3
Suppose 33*a = 38*a - 10. What is l in 103*l - 3*l**a - 205*l + 108*l = 0?
0, 2
Let o be -5*(-2)/12*(-33)/(-11). Let i(g) be the second derivative of -19*g + 5/2*g**2 + 0 + 5/6*g**4 + o*g**3. Factor i(s).
5*(s + 1)*(2*s + 1)
Let o = -33 + 62. Let p be (2*7 - 0)*13/26. Suppose o*y**2 + p*y - 26*y**2 + 5*y - 15*y**3 = 0. What is y?
-4/5, 0, 1
Let r(m) be the second derivative of -5*m**4/36 + 2593*m**3/18 + 173*m**2 + 32*m - 84. Factor r(d).
-(d - 519)*(5*d + 2)/3
Let u = -413 - -430. Factor -1148 - 10*f**2 - u*f + 1150 + 7*f**3 + 2*f**3.
(f - 2)*(f + 1)*(9*f - 1)
Let w(h) be the first derivative of 4/7*h**3 + 0*h + 113 - 1/7*h**2. Factor w(p).
2*p*(6*p - 1)/7
Suppose 3*d + 2373*s = 2376*s + 9, -6 = -2*d + 3*s. Let p = 13/12 - 5/6. Factor -p*i**d - i + 0 - 5/4*i**2.
-i*(i + 1)*(i + 4)/4
Suppose 0 = 5*y - 5*n - 25, 3*y - 3*n + 7*n + 20 = 0. Let p(k) be the third derivative of -12*k**2 + y*k - 1/4*k**5 + 5/3*k**3 + 0 + 5/24*k**4. Factor p(v).
-5*(v - 1)*(3*v + 2)
Let n be ((-12367)/166 + 78)*4/91. Suppose -2/13*x**4 + 2/13*x**2 + 0 + 2/13*x**3 - n*x = 0. What is x?
-1, 0, 1
Let b(p) be the first derivative of 5*p**4/12 - 55*p**3/3 - 5*p**2/6 + 55*p + 613. Factor b(s).
5*(s - 33)*(s - 1)*(s + 1)/3
Let s be ((-3036)/24)/((-10)/116). Let h = -1461 + s. Factor 22/5*q**3 + 0*q - 4/5*q**2 + 0 - h*q**4 + 14/5*q**5.
2*q**2*(q - 1)**2*(7*q - 2)/5
Let a be ((-3968)/(-224) - 19) + 10/7. Let a*r**2 - 10/7 + 9/7*r = 0. Calculate r.
-10, 1
Let x = 97 + -104. Let k = 11 + x. Solve -4 + 1164*y**2 - 8*y**k - 1151*y**2 - y**4 = 0.
-1, -2/3, 2/3, 1
Let h(m) be the third derivative of m**8/1008 + 11*m**7/630 + 5*m**6/72 - 31*m**5/180 - 31*m**4/36 + 28*m**3/9 + 2*m**2 + 101*m - 4. Solve h(k) = 0.
-7, -4, -2, 1
Let a(g) = 6*g**2 - 3*g**2 + 2*g - 2*g**2. Let w be a(0). Factor w - 2*k**2 + k - 2*k + 2 + k**2.
-(k - 1)*(k + 2)
Let q be ((-4)/(-25))/((-87)/(-64380)*74). Factor -72/5 + 312/5*h - 98/5*h**2 + q*h**3.
2*(h - 6)**2*(4*h - 1)/5
Let v = 4536 - 9069/2. Let b(c) be the first derivative of 6*c - c**3 - 11 + v*c**2. Solve b(h) = 0.
-1, 2
Let p(y) be the third derivative of -1/180*y**5 + 0 + 19*y**2 + 0*y + 0*y**4 + 1/1080*y**6 + 5/6*y**3. Let o(j) be the first derivat