605*h - 118*h**2 - 128*h**2 + 86 + 86 + 238.
5*(h - 2)*(h - 1)*(h + 41)
Let a(n) = -4*n**3 - 19*n**2 + 23*n - 5. Let i(l) be the first derivative of l**4/2 + 3*l**3 - 11*l**2/2 + 3*l + 135. Let h(s) = -3*a(s) - 5*i(s). Factor h(j).
2*j*(j - 1)*(j + 7)
Let j(k) be the third derivative of -k**7/40 - k**6/40 + 7*k**5/80 + k**4/8 - 2*k**2 - 253*k. Find a such that j(a) = 0.
-1, -4/7, 0, 1
Let b be (-442)/(-26) + -6 + -10 + 1. Let v(n) be the first derivative of 3/5*n**5 - 17 + 3*n - b*n**3 + 0*n**2 + 0*n**4. Factor v(q).
3*(q - 1)**2*(q + 1)**2
Let u(r) be the third derivative of r**5/90 - 9*r**4 - 325*r**3/9 + 550*r**2. Suppose u(p) = 0. Calculate p.
-1, 325
Let f(k) be the first derivative of -36*k**5 - 47*k**4 + 352*k**3/3 + 8*k**2 + 15486. What is w in f(w) = 0?
-2, -2/45, 0, 1
Let g = 98/75 - 38/75. Let v(y) be the first derivative of 1/5*y**2 + g*y - 2/15*y**3 + 1. Factor v(b).
-2*(b - 2)*(b + 1)/5
Determine r so that -750*r**3 + 565*r**2 - 420*r - 1129 - 24*r**4 - 1130 + 2239 - 1530*r**2 - 161*r**4 = 0.
-2, -1, -2/37
Let h(p) be the first derivative of p**4/4 - 11*p**3 + 123*p**2 + 280*p + 4944. Factor h(s).
(s - 20)*(s - 14)*(s + 1)
Let y(i) be the third derivative of 0*i - 44*i**2 - 400/3*i**3 - 10/3*i**4 - 1/30*i**5 - 3. Factor y(f).
-2*(f + 20)**2
Factor 3115/3*v + 55/3*v**3 - 490 - 800/3*v**2.
5*(v - 7)**2*(11*v - 6)/3
Let n be 0*(62/(-150) + 256/3200). Factor 0*t**2 + n - 6/17*t**3 + 2/17*t**4 + 0*t.
2*t**3*(t - 3)/17
Determine b so that -5810 + 62*b**2 - 17*b**2 - 20*b**2 - 24*b**2 + 304*b + 28914 = 0.
-152
Let z(j) be the first derivative of -j**4/22 - 4*j**3/11 + 16*j**2/11 - 4471. Let z(o) = 0. What is o?
-8, 0, 2
Let j(o) be the third derivative of 3 + 0*o**5 + 21*o**2 + 1/96*o**6 + 0*o**3 - 15/32*o**4 + 0*o. Factor j(v).
5*v*(v - 3)*(v + 3)/4
Let w be (-2)/6 - (96/400 - (-21606)/(-3150)). Factor -30/7*k**2 - 24/7 - 1/7*k**4 + 9/7*k**3 + w*k.
-(k - 3)*(k - 2)**3/7
Let n(c) = -3*c - 4. Let t be n(-2). Factor 2*q**2 - 4 + 161*q + 4*q**2 - 158*q + q**t.
(q + 1)*(7*q - 4)
Let d(a) be the first derivative of a**4/8 + 4*a**3/3 - 11*a**2 + 24*a + 1943. Factor d(g).
(g - 2)**2*(g + 12)/2
Factor 8064*m**2 + 48*m**3 + 448*m**3 + 38016*m + 60480 - 9*m**4 - 14*m**4 + 184584*m**5 - 13*m**4 - 184588*m**5.
-4*(m - 14)*(m + 5)*(m + 6)**3
Let c(b) be the first derivative of -4*b**3/3 + 268*b**2 - 17956*b - 1128. Factor c(g).
-4*(g - 67)**2
Suppose 0 = -4*d + 8, 37*d - 2 = a + 35*d. Let b(m) be the first derivative of -22/3*m**3 - 12 - 8*m**a + 8*m - 3/2*m**4. Factor b(p).
-2*(p + 2)**2*(3*p - 1)
Let q(z) = -z**4 + 33*z**3 - 132*z**2 + 11*z - 33. Let x(d) = -d**3 + d**2 - d + 3. Let r(h) = -4*q(h) - 44*x(h). Find u such that r(u) = 0.
0, 11
Let r = -11551/85 + 2334/17. Solve -w**3 + 2/5 - r*w + 1/5*w**4 + 9/5*w**2 = 0 for w.
1, 2
Let i = -663 - -1443. Suppose 0 = -o + 6*o - i. Factor -178*g**4 - 16*g + 4 + o*g**2 - 222*g**4 + 80*g**3 - 6 - 14.
-4*(2*g - 1)**2*(5*g + 2)**2
Suppose -4*j + 46 = -3*o + 75, 0 = -4*o + 4*j + 32. Factor -56*b - 8*b**2 + 0 - 2/7*b**o.
-2*b*(b + 14)**2/7
Let w be (-30)/2 + 180/36. Let x be 28*(-5)/w + -9. Suppose -x - 1/5*u**2 - 2*u = 0. What is u?
-5
Let r(g) = 2*g**2 + 256. Let l(j) = -3*j**2 - 512. Let z(o) = 6*l(o) + 11*r(o). Factor z(u).
4*(u - 8)*(u + 8)
Let y(m) be the first derivative of 2*m**3/33 + 1046*m**2/11 + 547058*m/11 + 3051. Determine a so that y(a) = 0.
-523
Let o(r) = 438*r - 9194. Let t be o(21). Factor 13/3*s - t - 1/3*s**2.
-(s - 12)*(s - 1)/3
Suppose -h + 97*q - 92*q = -43, 3*h - 41 = 4*q. Let p = -1/51 - -109/357. Factor -p*o**h - 2/7*o**2 + 2/7*o**4 + 2/7*o + 0.
2*o*(o - 1)**2*(o + 1)/7
Let d = -162601/4 + 40657. Factor -d + 3/2*b**2 - 9/4*b.
3*(b - 3)*(2*b + 3)/4
Suppose -7*v = -6*v - 5*y - 17, -4 = 4*v + 4*y. Determine m so that 0*m - 4*m - 19*m - 3*m**v - 19*m = 0.
-14, 0
Let g(c) be the second derivative of -c**5/4 + 10*c**4/3 + 10*c**3/3 - 80*c**2 + 974*c. Solve g(j) = 0 for j.
-2, 2, 8
Factor -1/2*v**3 + 1/4*v**4 + 0 + 0*v - 3/4*v**2.
v**2*(v - 3)*(v + 1)/4
Suppose 426*v + 1663 = 1348*v - 1103. Factor -1/3*m**4 + m**v - 11/3*m + m**2 + 2.
-(m - 3)*(m - 1)**2*(m + 2)/3
What is i in 204*i**4 + 2*i**3 - 205*i**2 + 201/2*i + 1 - 205/2*i**5 = 0?
-1, -2/205, 1
Let z(i) be the first derivative of 3*i**6/8 + 507*i**5/20 + 83*i**4/2 + 55*i**3/3 - 7978. Factor z(w).
w**2*(w + 55)*(3*w + 2)**2/4
Factor 438/5*r + 88 - 2/5*r**2.
-2*(r - 220)*(r + 1)/5
Let p(z) be the first derivative of 6*z**2 - 15/4*z - 9/2*z**3 - 3/20*z**5 + 3/2*z**4 - 171. Let p(w) = 0. What is w?
1, 5
Factor 20/3*u - 2/3*u**3 - 2*u**2 + 0.
-2*u*(u - 2)*(u + 5)/3
Let q(a) = -5*a**3 - a**2. Let j be (-8)/(-8)*1*-1. Let i be q(j). Factor 0*m**i - 8*m**2 + 9*m - 5*m**2 + 6 - 9*m**3 + 10*m**2 - 3*m**4.
-3*(m - 1)*(m + 1)**2*(m + 2)
Let k = -2/186703 - -475246/186703. What is w in k*w**3 + 2/11*w**4 + 260/11*w + 136/11*w**2 + 150/11 = 0?
-5, -3, -1
Let t(k) be the second derivative of k**6/15 - 292*k**5/5 + 42923*k**4/3 - 56648*k**3 + 84681*k**2 - 4553*k. Factor t(x).
2*(x - 291)**2*(x - 1)**2
Suppose 5*g + 30 = 2*g, -3*f = 2*f - 3*g - 40. Suppose 0 = 3*o - o - 8. Factor 1/11*i**3 + 0 - 1/11*i**5 + 1/11*i**f - 1/11*i**o + 0*i.
-i**2*(i - 1)*(i + 1)**2/11
Let y(k) be the first derivative of -k**5 + 35/2*k**2 + 45/4*k**4 + 0*k + 28 - 25*k**3. What is h in y(h) = 0?
0, 1, 7
Let 4/7*x**2 + 42 + 590/7*x = 0. Calculate x.
-147, -1/2
Let m = 467 - 339. Factor m*s - 18*s**3 + 92*s**3 - 41*s**3 + 96*s**2 + 4*s**4 + 64 - s**3.
4*(s + 2)**4
Let h = -4 - -7. Let o be ((-2)/(8/18))/(61 + 4488/(-72)). Factor -o*d + 3/8*d**h + 9/8*d**2 + 15/8.
3*(d - 1)**2*(d + 5)/8
Let c = 7/8332 + 33307/24996. Factor 20/3*l - 16/3*l**2 - 8/3 + c*l**3.
4*(l - 2)*(l - 1)**2/3
Let c = -601978 - -601983. Determine g so that c - 9/2*g - 1/2*g**2 = 0.
-10, 1
Let k(r) be the first derivative of -r**4/18 + 91*r**2/9 - 20*r - 11973. Factor k(v).
-2*(v - 9)*(v - 1)*(v + 10)/9
Let c(l) be the third derivative of -22*l**2 - 2/105*l**7 + 24*l**4 - 8/15*l**6 + 0*l - 46/15*l**5 + 1 - 54*l**3. Factor c(t).
-4*(t - 1)**2*(t + 9)**2
Let t(j) be the third derivative of 0*j - 9*j**2 - 3/245*j**7 + 0*j**3 + 0*j**5 - 1/168*j**8 - 1/210*j**6 - 2 + 0*j**4. Factor t(z).
-2*z**3*(z + 1)*(7*z + 2)/7
Determine v so that 19*v**3 - 2177*v - 865*v**2 + 1626*v - 3759*v - 1160 + 15*v**3 + v**3 = 0.
-4, -2/7, 29
Let j(p) be the second derivative of p**6/90 - 77*p**5/30 + 76*p**4/9 - 4752*p. Factor j(z).
z**2*(z - 152)*(z - 2)/3
Let s(x) = -x**2 + 17*x - 49. Let y be s(4). Let u be (26/24)/(-13) + y/4. Factor u*h - 1/3*h**2 - 1/3.
-(h - 1)**2/3
Factor -8 + 27/2*w**2 + 3/4*w**4 + 25/4*w**3 + 0*w.
(w + 1)*(w + 4)**2*(3*w - 2)/4
Suppose 0*k - 2*k = m - 136, -2*k + 2*m = -148. Suppose -5*n + k = 5*a, 8*n - 42 = 5*n + 3*a. Factor 13*l**2 - l**3 - n*l**2 + 0*l**3.
-l**2*(l + 1)
Let p(g) be the third derivative of -g**6/120 - 23*g**5/20 - 91*g**4/32 - 17*g**3/6 + 37*g**2 - 13. Factor p(q).
-(q + 68)*(2*q + 1)**2/4
Suppose 5*u = 4*w - 3045, 0 = -u - 5*w + 3*w - 595. Let g = u + 608. Determine v so that -12/7*v**2 + 2/7*v**g - 16/7 + 24/7*v = 0.
2
Let u(m) be the second derivative of 280/27*m**3 - 2*m + 108 + 1225/54*m**4 + 16/9*m**2. Factor u(d).
2*(35*d + 4)**2/9
Factor 46*p**2 - 48 - 109*p**2 + 64*p**2 - 13*p.
(p - 16)*(p + 3)
Solve -740/3*k**2 - 400/3*k + 56/3*k**4 - 2/3*k**5 + 0 - 94*k**3 = 0.
-1, 0, 10, 20
Solve -65/4*y**4 - 48*y - 59/4*y**3 + 0 - 1/4*y**5 + 317/4*y**2 = 0.
-64, -3, 0, 1
Let g(r) = 3*r**4 - 18*r**2 - 22*r - 9. Let s(t) = 351*t - 179*t - 173*t. Let z(i) = -g(i) - 2*s(i). Determine d so that z(d) = 0.
-1, 3
Let n(r) be the first derivative of 15*r**6/2 + 151*r**5 - 2735*r**4/4 + 1075*r**3 - 745*r**2 + 200*r + 1963. What is t in n(t) = 0?
-20, 2/9, 1
Let s be (24/36)/((-2)/(-4134)). Let o be (424/s)/((-2)/(-26)). Find w, given that -16/5*w**3 + 0 + 0*w**2 + 0*w - 2/5*w**o = 0.
-8, 0
Let k = -175 - -181. Let -12*u**4 - 250*u - 30*u**3 - 5*u**4 + k*u**4 + 9*u**4 - 150*u**2 = 0. What is u?
-5, 0
Factor 5*b**3 + 15396*b - 94 - 4041 - 4125*b**2 - 23661*b.
5*(b - 827)*(b + 1)**2
Let j(s) be the third derivative of -s**10/30240 - s**5/60 - 53*s**3/6 + 63*s**2. Let p(y) be the third derivative of j(y). Factor p(q).
-5*q**4
Suppose 63*h - 62*h + 673 = 0. Let t = h - -11449/17. Find v such that -t 