 1)
Let f = -95308/3 + 223068/7. Let c(m) be the second derivative of 0 - 4096/7*m**2 - 64/7*m**4 - f*m**3 - 16/35*m**5 - 1/105*m**6 + 10*m. Factor c(x).
-2*(x + 8)**4/7
Factor 59*p + 27*p - 740 - 45*p + 2*p**2 + 13*p.
2*(p - 10)*(p + 37)
Let h(p) = 10*p**2 + 18*p + 20. Let g be (-1)/((64/(-8))/(-48)). Let a(z) = -9*z**2 - 17*z - 18. Let d(k) = g*a(k) - 5*h(k). Factor d(n).
4*(n + 1)*(n + 2)
Let f(u) = 5*u**3 + 7*u**2 + 18*u + 18. Let o(i) = -4*i**3 - 6*i**2 - 17*i - 15. Let k(x) = -5*f(x) - 6*o(x). Factor k(w).
-w*(w - 4)*(w + 3)
Let q(d) be the third derivative of d**7/140 - 5*d**5/8 + 15*d**4/4 - 9*d**3 - 3493*d**2. Solve q(l) = 0 for l.
-6, 1, 2, 3
Let f be (-471)/6*(-20)/10. What is j in -334*j**3 - 12*j**5 + 396*j**4 + 17*j**5 - 24*j + f*j**5 - 200*j**2 = 0?
-3, -2/9, 0, 1
Let u = -1043651 - -1043654. Factor -u*k**4 + 0*k + 2*k**3 + 0 - 1/3*k**2.
-k**2*(3*k - 1)**2/3
Let n be 4/(-18) - (-141)/27 - 1. Suppose 0 = 2*w - 2*k - 56, -w + k + 16 = 3*k. Factor -2*d**3 + 2*d + 6*d**2 + n + 14*d**2 - w*d**2.
-2*(d - 1)*(d + 1)*(d + 2)
Let s(k) be the first derivative of -3*k**4/28 + 15*k**3/7 - 18*k**2/7 - 12*k + 3911. Factor s(t).
-3*(t - 14)*(t - 2)*(t + 1)/7
Let t(s) be the second derivative of -s**4/18 - 64*s**3/9 - 124*s**2/3 + 537*s. Solve t(h) = 0 for h.
-62, -2
Let c be (76/18 - 4) + 2166/(-27). Let o = c - -82. Factor 0 + 12/23*d**o + 18/23*d + 2/23*d**3.
2*d*(d + 3)**2/23
Let h be 2*(-12)/(120/(-25)). Suppose v = -3*v - h*t - 5, 5*t = -5. Determine m so that -4/5*m**5 + 4/5*m + 0*m**3 + v + 8/5*m**4 - 8/5*m**2 = 0.
-1, 0, 1
Suppose -2*r - 6*r = -2*r - 2*r. Let 0*y - y**2 + 1/5*y**4 + 4/5 + r*y**3 = 0. What is y?
-2, -1, 1, 2
Let v(z) = -2*z - 1. Let h(d) be the second derivative of -d**4/6 + 8*d**3/3 - 2*d**2 + 4*d + 2. Let q(j) = -h(j) - 4*v(j). What is u in q(u) = 0?
2
Factor -2*j**3 + 3*j**4 + 50*j + 277 - 14*j - 522 - 10*j**3 - 6*j**2 + 272.
3*(j - 3)**2*(j + 1)**2
Let v(s) be the third derivative of -s**5/30 + 13*s**4 + 159*s**3 - 5969*s**2. Factor v(z).
-2*(z - 159)*(z + 3)
Let f(t) be the second derivative of 99*t - 1/105*t**7 - 1/30*t**3 + 3/20*t**5 + 3/5*t**2 + 0 - 19/60*t**4 + 1/150*t**6. Solve f(y) = 0 for y.
-3, -1/2, 1, 2
Suppose -4*w - 5*u - 10 = -54, 0 = 5*w + 4*u - 46. Suppose g = -3*p + 3, -5*g = 2*p + 5 + w. Find f, given that 2*f - f - f**2 - p*f + 6 = 0.
-3, 2
Let w = 496633 + -496633. Factor -1/5*v**4 + w + 1/5*v**2 - 1/5*v**3 + 0*v + 1/5*v**5.
v**2*(v - 1)**2*(v + 1)/5
Let k(y) be the second derivative of y**7/252 + y**6/180 - y**5/5 - 11*y**4/9 - 28*y**3/9 - 4*y**2 + 95*y. Factor k(a).
(a - 6)*(a + 1)*(a + 2)**3/6
Let z(d) be the first derivative of 0*d + 357 + 15/4*d**4 + 19/2*d**3 - 3/2*d**2. What is y in z(y) = 0?
-2, 0, 1/10
Let i be 304/(-6240)*-9 + 1/10. Let n(y) be the first derivative of 1/26*y**4 + 6/13*y + i*y**2 + 10/39*y**3 + 18. Determine t, given that n(t) = 0.
-3, -1
Find s, given that -4/3*s**2 + 8/3*s**3 + 2/3*s**5 - 10/3*s - 4/3 + 8/3*s**4 = 0.
-2, -1, 1
Let k(v) = -26*v**4 + 113*v**3 - 377*v**2 + 87*v + 603. Let f(o) = 6*o**4 - 28*o**3 + 94*o**2 - 22*o - 150. Let u(s) = 9*f(s) + 2*k(s). Factor u(d).
2*(d - 6)**2*(d - 2)*(d + 1)
Let g(l) = -12*l + 316. Let w be g(-24). Let j = w - 602. Solve -1/4*n - 1/4*n**j + 1/4 + 1/4*n**3 = 0.
-1, 1
Suppose 0*q = -5*q + n + 31, 0 = 5*q + n - 29. Solve -8 + 25*y**2 - 38*y + q + 61*y = 0 for y.
-1, 2/25
Let s be (-10)/(-30)*9/15*(4 - 1). Let z(y) be the first derivative of -s*y**2 - y - 25 - 1/15*y**3. Factor z(u).
-(u + 1)*(u + 5)/5
Let v(u) = -35*u**2 - 18304*u + 20939672. Let g(l) = -8*l**2 - 4576*l + 5234920. Let c(h) = -26*g(h) + 6*v(h). Factor c(d).
-2*(d - 2288)**2
Let d(s) = 3*s**4 - 4*s**3 - 17*s**2 + 18*s + 70. Let z(t) = -16*t**4 + 20*t**3 + 86*t**2 - 90*t - 385. Let x(j) = 11*d(j) + 2*z(j). Factor x(a).
a*(a - 6)*(a - 1)*(a + 3)
Solve -657*t**3 + 2102*t**4 + 660*t - 2312*t**4 - 618*t**3 + 96 + 48*t**5 - 1020*t**2 = 0.
-2, -1/8, 1/2, 8
Let a(i) = 3*i**2 - 6*i - 5. Let k = -4 + 24. Let p(w) = -3*w**2 + 7*w**2 + 9*w**2 - k - 5*w - 20*w. Let y(u) = -18*a(u) + 4*p(u). Let y(o) = 0. Calculate o.
-1, 5
Suppose -27*i = -18*i - 27. Factor -i*f + 0*f - 120*f**3 + 123*f**3.
3*f*(f - 1)*(f + 1)
Let d be (-28 + 1024/40)*10/(-18)*1. Find o, given that -d - 3*o**4 - 53/3*o**2 + 38/3*o**3 + 28/3*o = 0.
2/9, 1, 2
Let v = 7745 + -7705. Let y(l) be the first derivative of -v*l**2 + 400*l + 4/3*l**3 + 13. Factor y(d).
4*(d - 10)**2
Let t(r) be the third derivative of r**7/1995 + 17*r**6/1140 + 17*r**5/114 + 53*r**4/76 + 30*r**3/19 - 1141*r**2 - 1. Let t(v) = 0. Calculate v.
-10, -3, -1
Suppose 1039 = 283*r + 190. Let x = 7 + -2. What is f in -6*f - r*f**2 + f**3 + 4*f + f**x - 3*f**4 + f**2 + 5*f**2 = 0?
-1, 0, 1, 2
Suppose 0 = -4*w - 7 + 3. Let k(f) = -f**3 - f**2 + f. Let p(m) = 7*m**3 - 36*m**2 + 17*m + 14. Let u(b) = w*p(b) - 2*k(b). Suppose u(q) = 0. Calculate q.
-2/5, 1, 7
Let f = -5927 - -5930. Let a(t) be the first derivative of -47/16*t**4 - 16*t**2 - f + 23/2*t**3 + 1/4*t**5 + 8*t. Find l such that a(l) = 0.
2/5, 1, 4
Let x(o) be the second derivative of -o**6/72 + o**5/12 + 5*o**4/8 + 13*o**3/2 + 59*o. Let i(y) be the second derivative of x(y). Factor i(u).
-5*(u - 3)*(u + 1)
Let q(a) be the second derivative of a**5/12 - 5*a**4/6 - 25*a**3/6 - 20*a**2/3 - 892*a. Let q(l) = 0. What is l?
-1, 8
Let g(c) = 7*c**3 - 55*c**2 + 173*c - 127. Let i(v) = -890 - 10*v**3 + 1210*v - 86*v**2 + 60*v**3 - 299*v**2. Let f(u) = -15*g(u) + 2*i(u). Solve f(q) = 0.
1, 5
What is m in -2271125 - 4*m**3 + 2271125 - 248*m + 132*m**2 = 0?
0, 2, 31
Factor 367*h**2 + 350*h**2 + 5*h**4 - 172*h**2 + 160*h**3 + 183*h**3 + 207*h**3.
5*h**2*(h + 1)*(h + 109)
Let u(m) be the third derivative of m**7/14 - 11*m**6/30 + 9*m**5/20 + m**4/12 + 1661*m**2. Solve u(c) = 0.
-1/15, 0, 1, 2
Let q(t) = -t**2 + 7*t. Let z(b) = -5*b**2 + 45*b - 54. Let s(u) = 30*q(u) - 5*z(u). What is k in s(k) = 0?
-9, 6
Let p(v) = v**2 + 4*v + 1. Let z(j) be the second derivative of -2*j**4/3 - 7*j**3/6 + 57*j**2/2 - 51*j + 1. Let c(n) = 3*p(n) + z(n). Factor c(h).
-5*(h - 4)*(h + 3)
Let k = -736851/17 + 43345. Factor k*h**2 + 0 - 12/17*h - 2/17*h**3.
-2*h*(h - 6)*(h - 1)/17
Let z(a) = 3*a - 13. Let q be z(8). Suppose -12 - 15*t - 6*t - 35 - 3*t**2 + q = 0. Calculate t.
-4, -3
Let j be (10/1155)/((-21)/(-693)). Factor -10/7 - 2/7*q**3 + 10/7*q**2 + j*q.
-2*(q - 5)*(q - 1)*(q + 1)/7
Let z(o) be the third derivative of -2*o + 0 + 0*o**4 + 0*o**5 + 27*o**2 + 0*o**3 + 3/160*o**6 + 1/280*o**7. Factor z(p).
3*p**3*(p + 3)/4
Let y(r) be the first derivative of 235 + 30*r**2 - 144*r + 26/3*r**3 - 4*r**4 + 2/5*r**5. Find s, given that y(s) = 0.
-2, 3, 4
Let y(o) be the third derivative of o**5/20 - 425*o**4 + 1445000*o**3 + 737*o**2 + 3*o. Let y(q) = 0. What is q?
1700
Let q(w) be the second derivative of 11*w**6/45 - 152*w**5/45 + 430*w**4/27 - 736*w**3/27 + 64*w**2/3 + 118*w - 7. Let q(r) = 0. Calculate r.
6/11, 2/3, 4
Find o, given that -184/3*o + 112/3 + 36*o**2 + 2/3*o**4 - 26/3*o**3 = 0.
2, 7
Let j(b) be the second derivative of -1/12*b**4 + 1/7*b**3 - 28*b + 0 - 1/420*b**6 + 1/42*b**5 - 10*b**2. Let w(v) be the first derivative of j(v). Factor w(l).
-2*(l - 3)*(l - 1)**2/7
Let x(l) be the third derivative of -l**5/270 + 61*l**4/36 - 182*l**3/27 - 3057*l**2. Find c, given that x(c) = 0.
1, 182
Factor -140779*t**3 - 37*t**2 - 110*t + 140814*t**3 + 152*t**2 - 40.
5*(t - 1)*(t + 4)*(7*t + 2)
Suppose 48/7 - 8/7*g**4 + 6/7*g**3 + 68/7*g**2 - 2/7*g**5 + 104/7*g = 0. Calculate g.
-2, -1, 3
Let a(z) be the second derivative of z**5/25 - 46*z**4/15 + 178*z**3/15 - 88*z**2/5 + 477*z - 5. Factor a(x).
4*(x - 44)*(x - 1)**2/5
Let l be -8 - ((-1089)/63 + 9). Let j(k) be the second derivative of -1/7*k**2 - 3/14*k**4 + 9*k + l*k**3 + 0. Suppose j(x) = 0. Calculate x.
1/3
Let q(k) be the third derivative of 5*k**8/336 - 11*k**7/6 + 439*k**6/24 - 935*k**5/12 + 535*k**4/3 - 710*k**3/3 + 7898*k**2. Determine v so that q(v) = 0.
1, 2, 71
What is u in 6/13*u + 2/13*u**2 + 4/13 = 0?
-2, -1
Factor 431*k**4 + 441*k**4 - 655*k**3 + 1995*k**2 - 1087*k + 670 - 918*k - 877*k**4.
-5*(k - 1)**3*(k + 134)
Let u = 301/586 + -4/293. Let h(a) be the second derivative of 0 - 3/20*a**5 - 1/2*a**3 + 0*a**2 - 18*a - u*a**4. Suppose h(r) = 0. Calculate 