96*a - 174 + 157. Factor 254/3*x - 376/3*x**a + 244/3*x**3 - 64/3 - 56/3*x**4 - 2/3*x**5.
-2*(x - 1)**4*(x + 32)/3
Let d(g) be the first derivative of -g**7/210 + g**6/40 - g**5/30 - g**2 + 6*g - 96. Let m(b) be the second derivative of d(b). Find j such that m(j) = 0.
0, 1, 2
Let m(s) be the first derivative of -3*s**4 + 0*s**2 - 1/2*s**6 - 3*s**5 + 0*s + 0*s**3 - 56. Let m(l) = 0. Calculate l.
-4, -1, 0
Determine j, given that 7*j**2 - 2*j**2 - 1761*j - 2*j**2 - 249 + 249 = 0.
0, 587
Let q = 28221/11 - 2562. Let p = 177/22 - q. Factor -3*l - p - 1/2*l**2.
-(l + 3)**2/2
Factor -1/4*k**2 - 298 - 151/2*k.
-(k + 4)*(k + 298)/4
Let s(w) be the second derivative of w**6/40 - 21*w**5/16 + 33*w**4/16 + 35*w**3/8 - 51*w**2/4 - 8024*w. Let s(k) = 0. What is k?
-1, 1, 34
Let m(x) be the first derivative of -3/4*x**4 + 0*x**3 - 135 + 0*x + 0*x**2. Factor m(n).
-3*n**3
Factor -105*i**2 - 3433802 + 5*i**3 + 400*i + 3433802.
5*i*(i - 16)*(i - 5)
Let z = -104/5 + 21. Let y be 41/(-205) - (-99)/45. Solve z*k**4 + 0*k**3 + 0*k - 4/5*k**y + 0 = 0 for k.
-2, 0, 2
Let r = 1051829/6 + -174456. Let l = 849 - r. Let 1/3*g**2 + 1/6*g + 0 + l*g**3 = 0. What is g?
-1, 0
Factor 1935/2*a + 150*a**2 + 1485 - 5/2*a**3.
-5*(a - 66)*(a + 3)**2/2
Let b be (16/24)/((-3)/54). Let j be 2 + (-4 - (-1)/((-3)/b)). Factor -22 + 2*g**j + 16 - 2*g - 2*g.
2*(g - 3)*(g + 1)
Factor 999*o**2 + 10835*o - 17 - 12001*o + 163*o**2 + 21.
2*(o - 1)*(581*o - 2)
Let c(z) be the second derivative of -z**4/38 - 595*z**3/57 - 198*z**2/19 + 341*z + 4. Factor c(m).
-2*(m + 198)*(3*m + 1)/19
Let w = -5010 - -5010. Let i(m) be the first derivative of 1/4*m**3 - 16 - 3*m + w*m**2. Suppose i(d) = 0. Calculate d.
-2, 2
Let d(h) be the second derivative of h**5/190 - 4*h**4/57 - 53*h**3/57 + 60*h**2/19 + 220*h + 1. Suppose d(a) = 0. What is a?
-5, 1, 12
Let s(n) be the second derivative of -n**4/16 - 11*n**3/2 + 423*n**2/8 - 3551*n. Find j such that s(j) = 0.
-47, 3
Suppose 48*p + 2990 = 71*p. Suppose -68*x**4 - 200 + 103*x**4 - 710*x + 635*x**2 - 128*x**5 - 97*x**5 + 540*x**2 + p*x**4 + 4595*x**3 = 0. Calculate x.
-4, -1/3, 2/5, 5
Suppose -4234*v = -4183*v - 408. Let -2/9*m**2 + v*m - 72 = 0. Calculate m.
18
Let i be ((552/(-40))/23)/((-5)/(80/12)). Find o such that 24/5 + 1/5*o**4 + i*o - 2*o**2 - 1/5*o**3 = 0.
-2, 2, 3
Suppose -7*u = -11*u + 4*x + 8, x - 1 = 0. Factor 8*l**2 + 145*l**4 - 3*l - u*l + 4*l**3 - 153*l**4 + 2*l**5.
2*l*(l - 3)*(l - 1)**2*(l + 1)
Let u(a) be the second derivative of -a**6/10 + 6*a**5 + 41*a**4/4 - 4377*a. Solve u(r) = 0.
-1, 0, 41
Let r = 3042 + -3042. Let f(g) be the second derivative of r + 0*g**2 + 0*g**3 - 1/24*g**4 + 1/40*g**5 - 15*g. Factor f(m).
m**2*(m - 1)/2
Factor 15*q**2 - 117/4 - 3/8*q**3 - 111/8*q.
-3*(q - 39)*(q - 2)*(q + 1)/8
Let x(b) be the first derivative of b**3/4 - 6*b**2 + 733. Factor x(t).
3*t*(t - 16)/4
Let y(n) be the first derivative of -2/3*n**6 + 4*n**2 - 12/5*n**5 - 81 + 0*n - n**4 + 4*n**3. Let y(t) = 0. What is t?
-2, -1, 0, 1
Let o(y) be the third derivative of -y**7/420 + 83*y**6/240 - 2*y**5/3 - 41*y**4/12 + 5915*y**2. Factor o(w).
-w*(w - 82)*(w - 2)*(w + 1)/2
Let v(z) be the second derivative of 2*z**6/15 + 21*z**5/5 + 6*z**4 - 80*z**3/3 - 230*z. Factor v(n).
4*n*(n - 1)*(n + 2)*(n + 20)
Let f(q) = q + 5. Let m be f(6). Let n be ((-58)/(-203))/(2/14). Factor 13 - s - m*s - 29 - 3*s**n + 7.
-3*(s + 1)*(s + 3)
Factor 21/5*f + 11/5 - 1/5*f**3 + 9/5*f**2.
-(f - 11)*(f + 1)**2/5
Let z be 18/4 + (-517)/282. Let v(f) be the third derivative of 1/3*f**5 + 4/3*f**4 - z*f**3 + 0 + 32*f**2 + 0*f. Factor v(u).
4*(u + 2)*(5*u - 2)
Let x(j) be the second derivative of 5*j**5/16 + j**4/2 - j**3/24 + 3*j + 224. What is a in x(a) = 0?
-1, 0, 1/25
Let w(m) be the first derivative of m**6/24 + 26*m**5/5 + 51*m**4/8 - 26*m**3/3 - 103*m**2/8 + 726. What is q in w(q) = 0?
-103, -1, 0, 1
Let d(g) be the first derivative of -59 + 5/6*g**2 + 8*g - 1/9*g**3. Let d(o) = 0. Calculate o.
-3, 8
Factor -228/5*g**2 - 26/5*g**3 - 891/5 - 1/5*g**4 - 774/5*g.
-(g + 3)**2*(g + 9)*(g + 11)/5
Suppose -35*r - 594 = -233*r. Factor 8/19*z - 8/19*z**2 + 0 + 2/19*z**4 - 2/19*z**r.
2*z*(z - 2)*(z - 1)*(z + 2)/19
Determine k, given that 2*k - 5*k**4 - 3300811*k**2 - 2*k + 2350331*k**2 - 4360*k**3 = 0.
-436, 0
Let u(p) be the third derivative of -p**6/120 + 17*p**5/60 + 4*p**3 + 4*p**2 + 25. Let v be u(17). Factor 2/5*w**4 + 24/5*w**3 + 10 + 92/5*w**2 + v*w.
2*(w + 1)**2*(w + 5)**2/5
Determine p, given that 35*p**3 - 130*p**2 - 975*p + 15*p**2 - 55*p**2 - 30*p**3 = 0.
-5, 0, 39
Suppose 0*l - 1384/3*l**3 - 2/3*l**4 + 0 - 1382/3*l**2 = 0. Calculate l.
-691, -1, 0
Find f such that 376/9*f - 16/3 - 292/3*f**2 + 182/3*f**3 - 98/9*f**4 = 0.
2/7, 2, 3
Suppose -64*o = 10 - 330. Let v(p) be the third derivative of -5/24*p**6 + 2/3*p**3 + 0 + 0*p - 14*p**2 + 1/12*p**o + 2/3*p**4. Factor v(w).
-(w - 1)*(5*w + 2)**2
Let j(o) be the first derivative of o**4/20 - 9*o**3/10 + 21*o**2/5 + 142*o + 143. Let m(q) be the first derivative of j(q). Factor m(p).
3*(p - 7)*(p - 2)/5
Let m(o) be the first derivative of -4*o**3/3 - 1272*o**2 + 863. Find f, given that m(f) = 0.
-636, 0
Let u be (-18)/4*(-1 + 2/6). Factor 48*l - 14*l**3 - 5 + 10*l**u - 59.
-4*(l - 2)**2*(l + 4)
Find c, given that -210*c - 94*c**2 + 3880478*c**5 + 216 - 49*c**2 + 8*c**4 + 212*c**3 - 3880480*c**5 - 81*c**2 = 0.
-9, -1, 1, 12
Let f(x) = 5*x**2 - 320*x + 500. Let h(l) = -3*l**2 + 211*l - 335. Let a(z) = -5*f(z) - 8*h(z). Factor a(u).
-(u - 2)*(u + 90)
Suppose -200*h**3 + 0 - 385/4*h**4 - 65*h**2 + 0*h - 25/4*h**5 = 0. Calculate h.
-13, -2, -2/5, 0
Determine g, given that -10/13*g**3 + 74/13*g**2 - 128/13*g + 40/13 = 0.
2/5, 2, 5
Let h(a) = -2*a**3 + 15*a**2 - 10*a + 15. Let k be h(6). Suppose k*d + d = 0. Suppose -4/3*g + 2/9*g**2 + d = 0. What is g?
0, 6
Suppose 145*y - 958613*y**4 - 146*y**3 + 78*y**2 - 111 + 958646*y**4 + 0*y**5 + y**5 = 0. What is y?
-37, -1, 1, 3
Let s(p) be the second derivative of p**6/55 - 4*p**5/55 - 23*p**4/11 + 160*p**3/11 + 175*p**2/11 + 438*p. Suppose s(x) = 0. Calculate x.
-7, -1/3, 5
Let j(l) be the second derivative of -86*l + 1/4*l**3 - 45/8*l**2 + 1/16*l**4 + 0. Suppose j(w) = 0. Calculate w.
-5, 3
Let z(w) be the third derivative of 0*w**5 + 0*w + 0*w**4 - 1/280*w**6 + 0*w**3 + 1/490*w**7 + 0 + 121*w**2. Factor z(d).
3*d**3*(d - 1)/7
Let r be ((-3738)/357 + 10)*5/((-15)/3). Factor -2/17*w**4 - r*w + 4/17*w**3 - 8/17 + 6/17*w**2.
-2*(w - 2)**2*(w + 1)**2/17
Let a be (-3180)/(-790) + -2 - 70/2765. Suppose -62/7*h - 9 + 1/7*h**a = 0. Calculate h.
-1, 63
Find o, given that 160*o**3 - 194*o + 87*o - 120 + 19*o**3 + 10*o**4 + 125*o**3 - 197*o + 110*o**2 = 0.
-30, -1, -2/5, 1
Let j(b) be the second derivative of 0*b**3 - 32/15*b**4 - 1/105*b**7 - 17/75*b**6 - 8/5*b**5 + 4 + 0*b**2 + 15*b. Factor j(s).
-2*s**2*(s + 1)*(s + 8)**2/5
Let k = 235 - 235. Let v(t) be the second derivative of 0*t**3 + k + 0*t**5 + 3/55*t**6 + 0*t**2 - 2/11*t**4 + 1/77*t**7 + 11*t. Factor v(x).
6*x**2*(x - 1)*(x + 2)**2/11
Let i(w) = 6*w**3 + 6*w**2 - 92*w - 96. Let m(l) = l**3 + 4*l**2 + 2. Let c(o) = -i(o) - 8*m(o). Factor c(n).
-2*(n - 2)*(n + 4)*(7*n + 5)
Factor 1788/13*t - 2/13*t**2 - 399618/13.
-2*(t - 447)**2/13
Suppose 12*g = 16*g + 180. Let y = 50 + g. Factor -u + 9*u + 2*u + y*u**2 + 0*u**2 - 15.
5*(u - 1)*(u + 3)
Let t(p) = -44396*p**2 - 4758*p - 130. Let i(d) = 266373*d**2 + 28543*d + 781. Let l(y) = -2*i(y) - 13*t(y). Let l(a) = 0. What is a?
-8/149
Let d = 183 + -180. Factor 13*s**4 - 2*s + s**2 - s**5 + d*s**3 + 3*s - 14*s**4 - 3*s.
-s*(s - 1)**2*(s + 1)*(s + 2)
Let n(i) be the first derivative of -i**4/78 - 2*i**3/39 - i**2/13 + 107*i + 322. Let c(w) be the first derivative of n(w). Find a, given that c(a) = 0.
-1
Let q(i) be the first derivative of -2*i**7/105 + i**6/15 - i**5/15 - 33*i**2 + 43. Let h(r) be the second derivative of q(r). Suppose h(c) = 0. Calculate c.
0, 1
Find w, given that 44/3 + 442/3*w - 485/6*w**3 - 7/2*w**4 - 233/3*w**2 = 0.
-22, -2, -2/21, 1
Let r(z) be the third derivative of z**7/210 + 29*z**6/120 + z**2 - 233*z. Suppose r(d) = 0. What is d?
-29, 0
Let i = -259087/4 + 64772. Find u such that 0 - 5/4*u - i*u**2 = 0.
-5, 0
Let v(c) be the third derivative of -c**8/336 - c**7/70 + c**6/2