.
-1, 2/5, 4
Let c = -7812 + 7818. Let l(i) be the first derivative of 0*i**3 - 1/12*i**c + 0*i + 0*i**2 + 10 + 0*i**5 + 1/8*i**4. Solve l(u) = 0.
-1, 0, 1
Let a(s) be the second derivative of 1/9*s**3 - 25*s + 1/3*s**2 + 2/45*s**6 + 0 - 1/30*s**5 - 1/6*s**4. What is l in a(l) = 0?
-1, -1/2, 1
Let b(h) be the first derivative of 7*h**6/36 - h**5/15 - 35*h**4/8 + 50*h**3/9 + 37*h**2/3 - 8*h + 238. Suppose b(y) = 0. What is y?
-4, -1, 2/7, 2, 3
Let m(k) = 5*k**3 + 10682*k**2 + 7604160*k + 1804720643. Let y(x) = 2*x**2 + 3. Let a(n) = m(n) - y(n). Factor a(w).
5*(w + 712)**3
Suppose 13218*c = 13301*c - 166. Solve 0 - 32/3*h + 2/3*h**c = 0.
0, 16
Let t be ((-69)/(-2484))/(3/9). Let l(f) be the second derivative of 1/96*f**4 - 10*f + 0 - t*f**3 - 5/16*f**2. Suppose l(z) = 0. What is z?
-1, 5
Factor 2/5*s**3 - 194/5 - 386/5*s - 38*s**2.
2*(s - 97)*(s + 1)**2/5
Let w = 162 - 159. Factor -27*v**w - 5*v**4 + 18*v**3 + 14*v**2 - 9 + 11*v**3 - 3*v + v**5.
(v - 3)**2*(v - 1)*(v + 1)**2
Find r, given that r**3 + 910*r - 350*r - 516*r**2 + r**3 + 466*r - 512 = 0.
1, 256
Let h(c) be the third derivative of c**8/28 - 31*c**7/70 - 9*c**6/10 + 241*c**5/20 - 65*c**4/4 - 24*c**3 + c**2 + 770*c - 3. Find s such that h(s) = 0.
-3, -1/4, 1, 2, 8
Let h(d) = -2*d**3 - 6*d**2 - 9*d - 2. Suppose 0*w + 6*w - 30 = 0. Let i be w + 0 + 24/(-6). Let s(f) = -f. Let k(t) = i*h(t) - 3*s(t). Factor k(q).
-2*(q + 1)**3
Let p(s) be the second derivative of 3*s**5/10 - 271*s**4/4 - 68*s**3 + 422*s. Solve p(g) = 0 for g.
-1/2, 0, 136
Let c(q) = -q**2 + 3*q + 8. Let h be c(4). Suppose -5 = -k + 5*s, -3*s - s - 22 = -2*k. Find b, given that -21*b**2 - 12*b**3 - 6*b - 7*b**2 - h - k*b + b = 0.
-1, -1/3
Let b(h) be the third derivative of 13*h**2 + 0 + 0*h**3 - 1/180*h**5 - 1/18*h**4 + 0*h. Let b(l) = 0. What is l?
-4, 0
Let y(z) = -10*z**3 + 2*z**2 + z - 29. Let a(x) = -5*x**3 + 2*x**2 + x - 14. Let s = -47 - -43. Let v(w) = s*y(w) + 9*a(w). Factor v(t).
-5*(t - 2)*(t - 1)*(t + 1)
Factor -36*v - 225/2 + 1/2*v**2.
(v - 75)*(v + 3)/2
Let q(y) = -y + 14. Let n be q(5). Let m be (-9)/(-3) - (n + -8). Determine r so that 3*r**3 - 17*r**2 + r**3 + 21*r**m = 0.
-1, 0
Let b(p) = 7*p**2 - 176*p - 159. Let n(u) = u**2 - 2*u + 1. Let v(a) = -5*b(a) + 30*n(a). Solve v(l) = 0.
-1, 165
Let m(f) = -29*f**4 - 31*f**3 - 21*f**2 + 19*f + 20. Let p(h) = -460*h**4 - 495*h**3 - 335*h**2 + 305*h + 320. Let u(i) = 95*m(i) - 6*p(i). Factor u(g).
5*(g - 1)*(g + 1)**2*(g + 4)
Let s(z) be the first derivative of -5*z**6/6 + 17*z**5 - 45*z**4 - 1900*z**3/3 + 1000*z**2 + 1646. Let s(y) = 0. Calculate y.
-4, 0, 1, 10
Let j(w) = -5*w + 199. Let o be j(44). Let l be (16/18)/((-28)/o). Factor 0 - l*b - 1/3*b**2.
-b*(b + 2)/3
Let c be 35/15*((-104)/455)/(-2). Let x(i) be the first derivative of 2/25*i**5 - c*i**2 - 2/15*i + 27 + 2/15*i**4 - 4/45*i**3. Solve x(k) = 0 for k.
-1, -1/3, 1
Let r(q) = 2*q**2 - 10*q + 20. Let b be r(6). Determine t so that -42*t**2 - 30 - 3*t**3 - b + 62 - 39*t = 0.
-13, -1, 0
Let h(a) be the second derivative of 7/6*a**4 - 4/15*a**5 + 13/6*a**2 + a + 1/90*a**6 - 66 - 20/9*a**3. Factor h(i).
(i - 13)*(i - 1)**3/3
Let d be 574/123 + (1 - (1 + 3)). Let n = -2 + 5. Factor 1/3*b**n + 8/3*b - 4/3 - d*b**2.
(b - 2)**2*(b - 1)/3
Let p(x) = 54*x**3 - 14*x + 14. Let j be p(1). Let o be -4 + 25/5 + 66/j. Factor 2*v**2 - o*v + 2/9.
2*(v - 1)*(9*v - 1)/9
Factor 1/2*t**4 - 103/2*t**3 + 198*t**2 + 0 + 0*t.
t**2*(t - 99)*(t - 4)/2
Let z(r) be the third derivative of -r**6/840 + r**5/105 + r**4/14 - 2101*r**2. Suppose z(q) = 0. What is q?
-2, 0, 6
Let r = -21230/59 + 42519/118. Let h be 0 + -1 + 3/2. Suppose -v**2 - 1/2*v + 1/2 - r*v**5 + h*v**4 + v**3 = 0. What is v?
-1, 1
Let a(s) be the third derivative of s**10/226800 + s**9/30240 - 53*s**5/60 - 5*s**2 + 6*s. Let p(o) be the third derivative of a(o). Factor p(b).
2*b**3*(b + 3)/3
Let y(s) be the first derivative of s**3/9 - 1469*s**2/3 + 2157961*s/3 + 4837. Factor y(n).
(n - 1469)**2/3
Let j(v) be the first derivative of 7*v**6/3 + 162*v**5/5 + 153*v**4/2 - 54*v**3 + 14343. Suppose j(k) = 0. Calculate k.
-9, -3, 0, 3/7
Let r be (((-30)/16)/(-15 + (-2208)/(-128)))/(5/(-2)). Factor -7/3*t**2 + r*t**4 + 5*t - t**3 + 6.
(t - 3)**2*(t + 1)*(t + 2)/3
Let y be (-1972)/(-14790)*5/2. Suppose -3*l = -8*l + 10. Find k such that -y*k**l + 0*k + 0 = 0.
0
Let o(q) be the third derivative of q**6/72 + 91*q**5/36 + 1175*q**4/8 + 1125*q**3/2 + 10*q**2 + 85. Factor o(s).
5*(s + 1)*(s + 45)**2/3
Suppose 87*g + 20 = 97*g. Let a be (-1)/g*(-53 - -53). Factor 10/11*f + a + 2/11*f**3 - 12/11*f**2.
2*f*(f - 5)*(f - 1)/11
Let d(f) = -3*f**3 + 40*f**2 - 6*f - 87. Let v be d(13). Determine t, given that -t**v - 24*t**2 + 6*t**4 - 17*t - 3*t**3 + 39*t + 14*t - 2*t**4 = 0.
-3, 0, 2
Let n(r) = r**2 - r - 2. Let y(t) = -8*t**2 + 9*t + 14. Let x be (-7)/(-6) + (-10)/(-12). Let u(h) = x*y(h) + 14*n(h). Suppose u(g) = 0. Calculate g.
0, 2
Let r(k) be the first derivative of 441*k + 1/3*k**3 - 21*k**2 + 57. Determine f so that r(f) = 0.
21
Let y(m) be the first derivative of 5*m**3/3 - 215*m**2/2 - 2650*m + 5354. Determine u so that y(u) = 0.
-10, 53
Let r(k) be the third derivative of k**6/48 - 17*k**5/6 + 1445*k**4/12 + 7374*k**2 - 2*k. Suppose r(d) = 0. Calculate d.
0, 34
Factor -369/2 + 25*g - 1/2*g**2.
-(g - 41)*(g - 9)/2
Factor 12*p**3 - 2*p**3 + 100*p + 115*p**2 + 0*p**3 + 78 - 298 - 5*p**3.
5*(p - 1)*(p + 2)*(p + 22)
Let b(x) be the third derivative of -1/300*x**6 - 115/12*x**4 - 182*x**2 + 0*x + 125/3*x**3 - 49/150*x**5 + 0. What is k in b(k) = 0?
-25, 1
Let i(t) = -2*t + 18. Let n be i(6). Suppose 10 = 2*p - 2*f, 5*p - n*f + 11*f + 25 = 0. Solve 15*y - 4 + 7*y - 6*y - 7*y**2 + p = 0.
2/7, 2
Suppose 20/3*r + 260/3 + 50/3*r**3 + 5/3*r**4 - 65*r**2 = 0. What is r?
-13, -1, 2
Suppose -5*j - f = -669, -125 = 15*j - 16*j + 2*f. Let b = j + -130. Find t such that 0*t + 10*t**b + 0 + 5/2*t**4 - 5/2*t**5 - 10*t**2 = 0.
-2, 0, 1, 2
Let d(s) be the first derivative of 18/5*s**2 - 1/3*s**3 + 1/25*s**5 - 1/5*s**4 - 41 - 36/5*s. What is x in d(x) = 0?
-3, 2, 3
Suppose -3*t + 631 = -4*s + 206, 285 = 2*t - 3*s. Let 261*m - 134*m - 7 - t*m - m**2 = 0. What is m?
-7, -1
Suppose 0 = -5*g - 40, 2*o = -3*g - 2 - 10 - 8. Factor -3/5*y**o + 12/5 + 9/5*y.
-3*(y - 4)*(y + 1)/5
Let h be 1 + 11/((-330)/260) + 9. Let r(i) be the first derivative of -8*i + h*i**3 - 2*i**2 + 39. Factor r(w).
4*(w - 2)*(w + 1)
Let i(a) be the first derivative of a**5/5 + 16*a**4 + 293*a**3 - 2482*a**2 - 5780*a + 6693. Determine h so that i(h) = 0.
-34, -1, 5
Let k(t) be the first derivative of -3*t**4/14 + 44*t**3/21 + 211*t**2/7 + 260*t/7 - 1771. Determine p, given that k(p) = 0.
-5, -2/3, 13
Let o = 8575/557238 + -2/8443. Let z(k) be the second derivative of 0*k**2 + 3/110*k**5 - 1/11*k**3 - o*k**4 + 1/165*k**6 + 0 - 7*k. Factor z(u).
2*u*(u - 1)*(u + 1)*(u + 3)/11
Let a(y) be the third derivative of -1/4*y**4 + 0 - 38*y**2 + 0*y - 2/3*y**3 - 1/30*y**5. Let a(x) = 0. Calculate x.
-2, -1
Factor -62/11 + 2/11*l**2 - 60/11*l.
2*(l - 31)*(l + 1)/11
Factor 12*x**3 - 29*x**3 + 6*x - 40*x**2 - 3*x + 40 - 4*x + 18*x**3.
(x - 40)*(x - 1)*(x + 1)
Let p(v) be the first derivative of v**5/10 - 7*v**4/2 + 25*v**3/2 - 567. Determine b, given that p(b) = 0.
0, 3, 25
Let s(z) be the first derivative of -z**6/3 - 4*z**5 - 5*z**4/2 + 80*z**3/3 + 36*z**2 - 120. Find x, given that s(x) = 0.
-9, -2, -1, 0, 2
Let i(j) be the second derivative of -j**5/20 + 13*j**4/12 - 31*j**3/6 + 13*j**2/2 + 67*j. Let r be i(10). Suppose 0 + 2/9*q - 2/9*q**r + 0*q**2 = 0. What is q?
-1, 0, 1
Let k(v) = -v**3 + 65*v**2 - 184*v + 203. Let w be k(62). Let l be (-1308)/w - 2/(8/(-22)). Determine g so that 3/2*g**2 - 15/4*g + l = 0.
1/2, 2
Let k(y) = 17*y**3 + 655*y**2 + 1078*y - 307. Let u(r) = 120*r**3 + 4585*r**2 + 7545*r - 2150. Let l(i) = 20*k(i) - 3*u(i). Factor l(w).
-5*(w + 2)*(w + 31)*(4*w - 1)
Let m(f) be the second derivative of f**7/63 + 4*f**6/135 - 4*f**5/9 + 11*f**4/9 - 43*f**3/27 + 10*f**2/9 + 3*f - 177. Let m(z) = 0. Calculate z.
-5, 2/3, 1
Let k be (-6)/(-24) + 33/12. Let i be k/((60/(-25))/(-4)). Factor 15*q**4 - 48 - 48*q**2 + 3*q**i + 12*q**3 + 51*q - 147*q + 0*q**5.
3*(q - 2)*(q + 1)*(q + 2)**3
Let j(z) be the first derivative of 5*z**4/4 