 o be 3/20*-2*f/(-15). Solve 0*v**3 - 2/5*v**4 - 1/5*v**5 + 2/5*v**2 + o*v + 0 = 0 for v.
-1, 0, 1
Let q(m) = -21*m**3 - 169*m**2 - m + 59. Let h be q(-8). Factor 20/3*k**h + 4/3*k**4 + 16/3*k + 0 + 32/3*k**2.
4*k*(k + 1)*(k + 2)**2/3
Factor -214/9*b**2 + 2/9*b**3 + 424/9 + 208/9*b.
2*(b - 106)*(b - 2)*(b + 1)/9
Suppose 10*k + 321 = 351. Let s(x) be the first derivative of -1/4*x**2 - 1/8*x**4 + 0*x + 3 - 1/3*x**k. Let s(m) = 0. What is m?
-1, 0
Let -14*p**2 + 52*p + 16*p**3 - 1453*p**4 + 1471*p**4 - 72*p**2 = 0. Calculate p.
-26/9, 0, 1
Let n(u) be the third derivative of -2*u**7/35 + 47*u**6/240 - 11*u**5/60 - u**4/48 - 2*u**2 + 8*u - 9. Find y such that n(y) = 0.
-1/24, 0, 1
Let g(j) be the second derivative of 1 - 1/20*j**5 - 55*j + j**3 + 5/12*j**4 + 0*j**2. What is m in g(m) = 0?
-1, 0, 6
Let n(l) be the second derivative of l - 11/20*l**5 + 0*l**2 + 0*l**3 + 7/60*l**4 + 8/105*l**7 + 52/75*l**6 - 1. Factor n(w).
w**2*(w + 7)*(4*w - 1)**2/5
Let x(r) = r**3 - r + 15. Let d(q) = 2*q. Let t be d(0). Let h be x(t). Factor 24*g - 5*g**2 - h*g - 19*g + 15.
-5*(g - 1)*(g + 3)
Let q = -6 - -9. Suppose l + 4*w = 7, 3*l - 2*w - 40 = -5. Factor -l*z + 6 - z**2 + 5*z - q*z + 4*z**2.
3*(z - 2)*(z - 1)
Let b(q) be the second derivative of -5/2*q**3 + 7*q**2 - 16*q + 1/12*q**4 + 0. Suppose b(f) = 0. What is f?
1, 14
Let k(u) be the first derivative of 2/15*u**5 + 7/6*u**4 + 56 + 0*u + 0*u**2 + 4/3*u**3. Factor k(t).
2*t**2*(t + 1)*(t + 6)/3
Let z(j) = -12*j**2 - 11*j - 155. Let i(v) = -5*v**2 - 10*v - 77. Let f(o) = 10*i(o) - 4*z(o). Factor f(a).
-2*(a + 3)*(a + 25)
Let u(q) = -23*q - 113. Let g be u(-5). Let x be (-194)/(-40) - (-6)/15. Determine y, given that -9/4*y**3 - 3/2*y - x*y**4 + 15/4*y**5 + 21/4*y**g + 0 = 0.
-1, 0, 2/5, 1
Let z be (-24)/(-16) + (-10)/(-20). Let y(t) be the third derivative of 4/3*t**3 + 0*t**5 + 0*t - 7*t**z - 1/30*t**6 + 1/2*t**4 + 0. Factor y(v).
-4*(v - 2)*(v + 1)**2
Let s(v) be the first derivative of -v**3/18 + 1157*v**2/2 - 4015947*v/2 - 7420. Factor s(f).
-(f - 3471)**2/6
Let t(z) be the third derivative of z**5/420 + 15*z**4/56 + 43*z**3/21 - 65*z**2 - 6*z. Factor t(d).
(d + 2)*(d + 43)/7
Let y be 3 + 0 + -4 - (-2 + -4). Let m(x) be the third derivative of -1/78*x**y + 6*x**2 + 0 - 1/52*x**4 - 1/390*x**6 + 0*x**3 + 0*x. Solve m(o) = 0 for o.
-3/2, -1, 0
Let w(u) = 41*u**2 - 918*u - 254. Let n(j) = 81*j**2 - 187 - 1833*j - 280 + 213 - 255. Let c(k) = -6*n(k) + 11*w(k). Suppose c(x) = 0. What is x?
-2/7, 26
Let y(m) = m**2 + 1. Suppose 1515 - 283 = 14*r. Let o = -76 + r. Let i(v) = 4*v**3 - 48*v**2 + 60*v - 40. Let g(c) = o*y(c) + i(c). Factor g(j).
4*(j - 7)*(j - 1)**2
Let f(i) be the third derivative of 1121/12*i**4 - 23/6*i**5 - 47*i**2 - 361/3*i**3 + 0 + 0*i + 1/20*i**6. Factor f(x).
2*(x - 19)**2*(3*x - 1)
Let t(n) be the third derivative of n**5/60 - 5*n**4/6 + 6*n**3 + 14*n**2. Let i be t(18). Factor 9/2*j**3 + i + 0*j - j**2.
j**2*(9*j - 2)/2
Let d(n) be the second derivative of -n**6/10 + 263*n**5/20 + 637*n**4/12 - 209*n**3/2 - 135*n**2 + 1765*n. Find h, given that d(h) = 0.
-3, -1/3, 1, 90
Let u(g) be the second derivative of 0*g**2 - 49/3*g**3 + 2 - 1/10*g**5 - 79*g + 7/3*g**4. Factor u(l).
-2*l*(l - 7)**2
Let x be (-53)/(3180/192) - 31/(-5). Factor 18 + 18*l + 2/3*l**x + 6*l**2.
2*(l + 3)**3/3
Let b(u) = -10*u**2 - 7720*u - 280. Let n(t) = t**2 + 858*t + 32. Let g(w) = -4*b(w) - 35*n(w). Factor g(j).
5*j*(j + 170)
Let l(s) be the first derivative of 2*s**3/3 + 72*s**2 - 1826*s - 14390. Find i such that l(i) = 0.
-83, 11
Let o = -47082/5 + 9418. Factor r**2 - o*r - 1/5*r**3 + 4/5.
-(r - 2)**2*(r - 1)/5
Let n(g) be the second derivative of 55*g**4/12 - 145*g**3/6 + 45*g**2 - 6*g - 363. What is k in n(k) = 0?
1, 18/11
Suppose -12849*z + 43126*z - 130*z**3 + 65131*z - 1291*z**3 + 4*z**4 - 31684 + 125667*z**2 = 0. What is z?
-1, 1/4, 178
Let s(q) be the third derivative of 972*q**5/5 + 450*q**4 + 1250*q**3/3 + 163*q**2 - 3. Factor s(g).
4*(54*g + 25)**2
Suppose -2*h - 3*j = h - 9, 11 = 4*h + 3*j. Let i be 1/(2/4)*(6 - h). Factor -4 + i + 10*m - 8 - 256*m**2 + 54*m.
-4*(8*m - 1)**2
Solve 125*n**2 + n**4 - 12 - 359*n + 393*n - 6*n**4 + 3*n**4 + 14*n**3 - 159*n**2 = 0 for n.
1, 2, 3
Let h(f) be the third derivative of -f**5/15 + f**4/6 + 160*f**3 - 70*f**2 + 6*f. Let h(s) = 0. Calculate s.
-15, 16
Let r be (1 + 45/6)*((-1088)/(-442))/8. Suppose 8/13 + r*l + 8/13*l**2 = 0. What is l?
-4, -1/4
Let a(t) be the first derivative of -5/6*t**3 + 114 - 1/4*t**4 + 1/2*t**2 + 7/20*t**5 + 3/4*t. Factor a(m).
(m - 1)**2*(m + 1)*(7*m + 3)/4
Let k(r) = -r**2 - 2*r. Let c(p) be the second derivative of p**4/6 + 11*p**3/6 + 4*p**2 + 39*p - 1. Let q(d) = -4*c(d) - 4*k(d). Factor q(v).
-4*(v + 1)*(v + 8)
Let f be (12 - 1332/126) + 20/(-14). Suppose -2/21*j**4 + f + 8/21*j**2 + 0*j - 2/7*j**3 = 0. Calculate j.
-4, 0, 1
Let u(o) = 2*o**3 + 143*o**2 + 781*o - 28. Let c be u(-6). Factor -44/7*z + 242/7 + 2/7*z**c.
2*(z - 11)**2/7
Suppose 3*y = -6 + 3, -y = -2*h + 5. Suppose -24*w + 350 = -22*w. Factor -w*g**3 - 68*g**3 - 119*g**2 - 12*g + 11*g**h.
-3*g*(9*g + 2)**2
Let i be 5/9 + (2604/108 - 4 - 20)*-2. Factor i*z**4 + 13/3*z**3 + 47/3*z + 41/3*z**2 + 6.
(z + 1)**2*(z + 2)*(z + 9)/3
Let a(u) be the second derivative of -u**4/4 + 485*u**3/6 + 81*u**2 + 7*u + 71. Let a(p) = 0. Calculate p.
-1/3, 162
Let r(f) be the second derivative of -4*f**7/35 - 52*f**6/75 + 33*f**5/50 + 106*f**4/15 + 4*f**3 - 16*f**2/5 + 5127*f - 1. Determine w so that r(w) = 0.
-4, -2, -1/2, 1/6, 2
Let i(f) = 7*f**4 + 2*f**3 - f**2 - 1. Let d(l) = -4*l**5 + 52*l**4 - 20*l**3 - 28*l**2 + 32*l - 4. Let b(g) = -d(g) + 4*i(g). What is u in b(u) = 0?
-1, 0, 1, 2, 4
Let m(w) be the third derivative of w**5/90 - 65*w**4/36 - 375*w**2 + w. Factor m(v).
2*v*(v - 65)/3
Solve 36*r - 68*r**2 + 164*r**2 + 23 - 61 - 94*r**2 = 0 for r.
-19, 1
Let h(r) be the first derivative of r**5/25 + 241*r**4/20 + 478*r**3/15 - 10119. Let h(b) = 0. What is b?
-239, -2, 0
Suppose o - 3*o = -2*c + 14, 3*c = -3*o + 21. Suppose 1 = c*d - 27. Factor 0*j**3 - 2/15*j**d - 2/15*j**5 + 0*j + 0*j**2 + 0.
-2*j**4*(j + 1)/15
Let g = 608/15 - 4196/105. Let a(z) be the first derivative of 2/7*z**2 - 1/21*z**3 - g*z + 6. Factor a(p).
-(p - 2)**2/7
Let o(s) = 90*s + 15038. Let q be o(-167). Find f such that -18/11*f**3 - 76/11*f**2 - 16/11 - q*f = 0.
-2, -2/9
Let m(j) be the second derivative of 0 + 145*j + 0*j**3 + 0*j**2 - 1/16*j**4 - 27/40*j**5. Determine v so that m(v) = 0.
-1/18, 0
Suppose 3*l + 3 = -9, -5*g = -3*l - 1092. Solve 56 - 100 - 32*s - s**2 - g + 4 = 0 for s.
-16
Let a(z) = z**3 - 42*z**2 - 52*z + 391. Let d be a(43). Let s be 0*(-2)/20*d/12. Find o, given that 14/9*o**2 + s + 2/3*o = 0.
-3/7, 0
Let p be 1728/(-160) - (27 - 19 - 20). Let 0 - 9/5*t**2 - p*t - 3/5*t**3 = 0. What is t?
-2, -1, 0
Let g be (-44)/(-8) - 3/2. Let o(f) = 129*f - 9. Let k be o(g). Determine y so that -26*y**3 - 4394*y - 28561/2 - 1/2*y**4 - k*y**2 = 0.
-13
Let c(i) be the third derivative of -55/96*i**4 + 0*i - 1/48*i**5 + 32*i**2 + 0 - 25/12*i**3. Factor c(r).
-5*(r + 1)*(r + 10)/4
Let g(v) be the third derivative of -134*v**2 + 0 + 0*v - 1/2*v**3 + 1/60*v**5 - 1/12*v**4. Factor g(c).
(c - 3)*(c + 1)
Let c(t) = -12*t**3 - 552*t**2 + 1264*t - 640. Let s(k) = -3*k**3 - 136*k**2 + 316*k - 160. Let p(g) = -6*c(g) + 26*s(g). Factor p(o).
-2*(o - 2)*(o + 40)*(3*o - 2)
Let d = -336 - -338. Solve -2*u**4 - 11*u**3 + u**5 + 37 - 19*u**2 + 31*u**d - 37 = 0.
-3, 0, 1, 4
Suppose 4*o - 11 = -5*k + 4, k - 3 = -o. Determine i, given that 2*i**3 - 5*i + 4*i**3 + i - 6*i**3 - i**4 + k*i**3 = 0.
-1, 0, 2
Let g(r) = 47*r**2 + 508*r - 1335. Let u be g(-13). Factor -18/7*f**2 + 8/7*f + 12/7*f**3 - 2/7*f**u + 0.
-2*f*(f - 4)*(f - 1)**2/7
Factor -21*p + 0 - 1/4*p**2.
-p*(p + 84)/4
Suppose -752*n**3 + 0*n**5 + 3136 + 4165*n**2 - 2883*n - 14*n**4 - 2*n**5 + 82*n**4 - 2269*n - 1125*n**2 = 0. What is n?
2, 14
Let m(c) be the first derivative of 3*c**5/20 - 165*c**4/8 + 891*c**3 - 41307*c**2/4 - 93639*c/4 - 1312. Determine d so that m(d) = 0.
-1, 13, 49
Suppose f = -4*f - 6*f. Let k(j) be the first derivative of 3/20*j**5 - 1 - 3/16*j**4 + 0*j**2 - 1/2*j**3 + f*j. Let k(p) = 0. Calculate p.
-1, 0, 2
Let p(h) = 3*h**4 + h**3 + h**2 - 17*h - 