1, 19
Factor -337/8*s + 0 + 1/8*s**2.
s*(s - 337)/8
What is i in -13*i**4 + 172*i**3 + 21*i**4 + 352 + 49*i**3 + 156*i**3 + 1064*i - 1296*i**2 - 55*i**3 = 0?
-44, -1/4, 2
Let s(b) = b**2 + 9*b - 15. Let v be s(-9). Let q = v + 43. Factor -180*c**2 + 35*c - 197*c - 60*c**3 - 54 - 16*c**4 - q*c**3.
-2*(c + 1)*(2*c + 3)**3
Let s(i) be the first derivative of -10/13*i**2 + 0*i - 14/39*i**3 + 103 - 1/26*i**4. Let s(v) = 0. What is v?
-5, -2, 0
Factor 26*p**3 + 3*p**2 + 340*p + 5*p**4 - 228 - 6*p**4 - 90*p**3 + 3*p**3 - 53*p**3.
-(p - 1)**2*(p + 2)*(p + 114)
Let g = 75 - 74. Let c(j) = j**3 + 6*j**2 + 3*j + 2. Let z be c(-5). Let d(w) = 2*w**2 - 24*w + 30. Let k(f) = f - 1. Let v(l) = g*d(l) + z*k(l). Factor v(p).
2*(p - 3)**2
Let p(b) be the third derivative of -b**5/300 + 77*b**4/6 + 1541*b**3/30 - 204*b**2. Find w such that p(w) = 0.
-1, 1541
Let h = -387 - -392. Let q be ((-1)/3)/(h + (-1270)/240). Solve -q + 2/7*b**2 + 8/7*b - 2/7*b**3 = 0 for b.
-2, 1, 2
Let w(s) be the third derivative of 0*s + 0*s**4 - 1/42*s**7 + 0*s**3 + 0 + 0*s**5 + 0*s**6 - 27*s**2. Solve w(n) = 0.
0
Let u(s) be the first derivative of -14*s**5/25 + 218*s**4/5 + 3392*s**3/15 + 1328*s**2/5 - 1056*s/5 - 481. Suppose u(v) = 0. What is v?
-2, 2/7, 66
Suppose -2*x = -5*k + 12, -4*x - 4*k = k - 36. Find f such that 219*f**3 - 113*f**3 + 124*f**x - 26*f**3 - 12*f**2 + 32*f**5 = 0.
-3, -1, 0, 1/8
Let y(i) be the third derivative of i**7/42 - 35*i**6/24 - 39*i**5/2 - 605*i**4/6 - 820*i**3/3 + 794*i**2. Factor y(l).
5*(l - 41)*(l + 2)**3
Let z = -6 - -8. Factor w**z - 41*w**4 - 51*w**4 + 100*w**3 - 9*w**2 + 0*w**2.
-4*w**2*(w - 1)*(23*w - 2)
Let w(d) be the first derivative of -d**3 - 225*d**2 - 447*d + 9023. Determine g so that w(g) = 0.
-149, -1
Let h(u) = -20*u**3 + 160*u**2 - 930*u + 1386. Let w(i) = -43*i**3 + 319*i**2 - 1858*i + 2772. Let k(r) = 13*h(r) - 6*w(r). Find o such that k(o) = 0.
3, 77
Factor 55/2*v**3 + 0*v + 14/3*v**4 - 75*v**2 + 1/6*v**5 + 0.
v**2*(v - 2)*(v + 15)**2/6
Factor 0 + 0*f + 3/5*f**2 - 1/10*f**4 - 1/2*f**3.
-f**2*(f - 1)*(f + 6)/10
Let j(b) be the first derivative of -b**8/2520 - b**7/630 - b**6/540 + 31*b**3/3 + 172. Let p(a) be the third derivative of j(a). Factor p(s).
-2*s**2*(s + 1)**2/3
Let s(g) be the first derivative of g**5/20 - 31*g**4/4 - 509*g**3/12 - 48*g**2 + 10216. Determine t so that s(t) = 0.
-3, -1, 0, 128
Let b = -36280 - -253962/7. Factor -b*n + 4/7*n**2 - 6/7.
2*(n + 1)*(2*n - 3)/7
Let v(b) be the first derivative of -1/30*b**3 + 2 + 0*b**2 + 2/5*b. Solve v(f) = 0.
-2, 2
Let p = -1158 + 1158. Let x(w) be the second derivative of 4/7*w**2 + 2/7*w**3 + 0*w**4 - 14*w - 1/35*w**5 + p. Factor x(y).
-4*(y - 2)*(y + 1)**2/7
Let f = -650 + 647. Let s be ((2 - f)/(-5))/((-108)/600). Factor -2/9 + 10/9*j**2 + 10/9*j - 80/9*j**4 - s*j**3 - 32/9*j**5.
-2*(j + 1)**3*(4*j - 1)**2/9
Let h(z) = 32*z**2 - 5*z - 13. Let d be h(-2). Let -92 + 1127 + 7025*u**2 + 105 - d*u**3 + 5680*u = 0. Calculate u.
-2/5, 57
Let j = -36 - -42. Suppose 0 = -t + 10 - j. Factor 3*w**5 - 5*w**t - 3*w - 4*w**4 + 3*w**2 + 3*w**4 + 3*w**2.
3*w*(w - 1)**3*(w + 1)
Factor 0 + 99*o + 1/3*o**2.
o*(o + 297)/3
Let t = -25 + 27. Suppose w + 3*y - 17 = 0, -y = 4*y - 20. Solve -2*r**w - 7*r**5 + 11*r**3 + 7*r**2 + 10*r**t - 21*r**2 - 4*r + 6*r**4 = 0 for r.
-2/3, 0, 1
Let g(f) = 2*f**2 + 8*f. Suppose -5*p - 11 = n, 2*p - 10 = -n - 18. Let q(s) = -3*s**2 - 8*s + 2. Let h(r) = n*q(r) - 7*g(r). Determine v so that h(v) = 0.
-1, 3
Let p(t) be the third derivative of t**8/224 + 23*t**7/420 - 13*t**6/80 - 23*t**5/120 + 3*t**4/4 - 3248*t**2 - 2. Determine k, given that p(k) = 0.
-9, -1, 0, 1, 4/3
Let f(n) be the second derivative of 3*n**5/5 - 21*n**4/4 - 411*n**3/2 + 156*n**2 - 45*n + 6. Suppose f(q) = 0. Calculate q.
-8, 1/4, 13
Let m(g) be the second derivative of 3/20*g**5 + 0 + 81/2*g**2 - 11/4*g**4 + 15/2*g**3 - 70*g. Factor m(c).
3*(c - 9)*(c - 3)*(c + 1)
Let z(a) be the third derivative of -2*a**7/21 - 59*a**6/30 - 224*a**5/75 - 22*a**4/15 + 3*a**2 + 10*a. Solve z(q) = 0.
-11, -2/5, 0
Factor -39*s - 171*s + 5*s**3 - 1080 - 223*s**2 + 128*s**2 + 270*s**2.
5*(s - 3)*(s + 2)*(s + 36)
Suppose -38*x = -39*x + 14. Suppose -x = -3*a - 2. Factor -35 - 3*r + 11*r + 5*r**2 + a*r - 42*r.
5*(r - 7)*(r + 1)
Suppose 159*k - 6776 = 148*k. Let o be (-2)/(-7)*(k/55)/8. Let -o*d - 1/5 - 1/5*d**2 = 0. Calculate d.
-1
Let a(s) be the second derivative of s**4/24 + 596*s**3/3 + 355216*s**2 - 1265*s + 3. Solve a(b) = 0 for b.
-1192
Factor -17*u**2 + 24*u**2 - 10*u**2 + 516 + 0*u**2 + 513*u.
-3*(u - 172)*(u + 1)
Let k = -19101/230 - -9608/115. Let j be 1 - (-2 - (2 - 2)). Factor d + 0 - k*d**2 - d**j + 1/2*d**4.
d*(d - 2)*(d - 1)*(d + 1)/2
Let j(c) be the third derivative of -1/15*c**5 + 0 - 70*c**2 - 5/24*c**4 + 0*c + c**3. Let j(z) = 0. Calculate z.
-2, 3/4
Let f = -3806 - -3801. Let z(q) = -6*q**2 + 7*q + 13. Let c(v) = -7 - 6 + 4*v**2 - 5*v + 4. Let j(d) = f*z(d) - 7*c(d). Factor j(k).
2*(k - 1)*(k + 1)
Let x = 22029/4 - 5506. Let d(a) be the second derivative of -35/6*a**3 - 5*a**2 + 7/4*a**5 + 8*a + 0 - x*a**4 + 5/6*a**6. Determine g, given that d(g) = 0.
-1, -2/5, 1
Let d(a) be the second derivative of 0*a**4 + 1/10*a**5 + 0*a**3 - 2*a + 0*a**2 + 1/60*a**6 + 0. Suppose d(x) = 0. Calculate x.
-4, 0
Let r(v) be the third derivative of 1/40*v**5 + 85*v**2 + 0*v - 9/4*v**3 - 5/3*v**4 + 0. Factor r(n).
(n - 27)*(3*n + 1)/2
Let l(i) be the third derivative of -i**8/20160 + i**7/5040 - i**5/12 + 37*i**2. Let a(u) be the third derivative of l(u). Factor a(c).
-c*(c - 1)
Let q = 12763 + -12757. Let n(g) be the second derivative of 5/3*g**3 - 1/6*g**4 + 0 - 32*g + q*g**2. Factor n(f).
-2*(f - 6)*(f + 1)
Factor -267/4*k**2 - 30 + 273/2*k + 3*k**3.
3*(k - 20)*(k - 2)*(4*k - 1)/4
Factor 26/7 - 25*m**2 + 41/7*m.
-(7*m + 2)*(25*m - 13)/7
Let k be (31/2)/(5/10). Let x = -29 + k. Let -2*f**2 - x*f**2 + 1046*f**3 - 1050*f**3 = 0. Calculate f.
-1, 0
Let s(n) = n**3 + 6*n**2 + 34*n + 198. Let d be s(-6). Let l be (d + (-72)/(-15))*20/(-12). Determine f, given that 46/5*f**l - 10*f + 4/5 = 0.
2/23, 1
Factor -240 - 1/3*j**2 - 24*j.
-(j + 12)*(j + 60)/3
Let b be (-12)/3*(8 - 12)/8. Let r(d) be the second derivative of 0*d**4 + 0*d**b + 0 + 3/20*d**5 + 18*d - 1/2*d**3. Suppose r(g) = 0. Calculate g.
-1, 0, 1
Let -37/2*g**2 + 1/2*g**4 + 0*g**3 + 90 + 12*g = 0. Calculate g.
-6, -2, 3, 5
Let a(z) be the first derivative of -z**4/12 + 59*z**3/9 - 899*z**2/6 + 841*z/3 - 1263. Let a(d) = 0. Calculate d.
1, 29
Let w = -602/111 - -2519/444. Determine j, given that 1/4 + 1/2*j**3 + w*j**5 + 1/2*j**2 - 3/4*j**4 - 3/4*j = 0.
-1, 1
Let n(m) be the third derivative of -m**5/15 - 25*m**4/3 - 94*m**3 - 2143*m**2. Suppose n(y) = 0. What is y?
-47, -3
Suppose -3 + 108 = 21*q. Suppose q*t = -x + 27, t = -x - 4 + 11. What is y in -1/6 + 0*y + 1/6*y**x = 0?
-1, 1
Suppose 0*u + 1/2*u**3 - 1/2*u**4 + 0 + 1/8*u**5 + 0*u**2 = 0. What is u?
0, 2
Let m(w) be the second derivative of -w**6/6 + 5*w**5/4 + 5*w**4 - 200*w**3/3 + 160*w**2 + 64*w - 5. Factor m(b).
-5*(b - 4)**2*(b - 1)*(b + 4)
Let a(c) = 2*c**4 - 16*c**2 + 66*c - 88. Let g(r) = -3*r**2 + r + 8. Let l(u) = -a(u) - 6*g(u). Factor l(i).
-2*(i - 2)**2*(i - 1)*(i + 5)
Suppose 9*o - 2*g + 26 = 13*o, -33 = -2*o + 3*g. Suppose -24*z + 21*z + o = 0. What is f in 1/3*f**z + f**2 - 1/3*f**4 - 2/3 - 1/3*f = 0?
-1, 1, 2
Factor -38*k**2 - k**3 - 161*k - 462*k - 648 + 66*k + 161*k.
-(k + 2)*(k + 18)**2
Let g(h) be the second derivative of 0 + 173*h + 0*h**3 + 11/10*h**4 + 3/100*h**5 + 0*h**2. Factor g(y).
3*y**2*(y + 22)/5
Let y(s) = s**3 + 2*s**2 + 24*s + 84. Let i be y(-3). Let -3/4*h**i - 13/2*h**2 - 37/4*h - 7/2 = 0. What is h?
-7, -1, -2/3
Let p = -7755 - -7756. Let r(w) be the first derivative of -3/5*w + 9/10*w**2 - 3/5*w**3 + 3/20*w**4 - p. Suppose r(l) = 0. What is l?
1
Factor -33/8*v**2 - 1/8*v**4 - 2 - 5/4*v**3 - 5*v.
-(v + 1)**2*(v + 4)**2/8
Let n be ((-4)/22)/((-162)/2673). Let l(h) be the first derivative of -4/3*h**n - 1/2*h**4 + 0*h + 43 + 0*h**2. Determine c, given that l(c) = 0.
-2, 0
Suppose 2*u = -66 - 142. Let w = 106 + u. Factor 115*i - 5*i**4 - 120*i - 6*i**w - 9*i**2 - 15*i**3.
-5*i*(i + 1)**3
Suppose 66 = s - 2*r + 57, -r - 27 = -5*s. Let x(c) be the third derivative of