 + 2*x**2 = 0.
-7, -1, 1
Let l(y) be the third derivative of -y**6/780 + y**5/15 + 29*y**4/52 + 13*y**2 + 83. Factor l(r).
-2*r*(r - 29)*(r + 3)/13
Let m(l) be the second derivative of -l**5/15 - l**4/9 + 32*l**3/9 + 32*l**2/3 + 669*l. Suppose m(y) = 0. Calculate y.
-4, -1, 4
Let k(n) be the third derivative of -6*n**4 + 27/5*n**5 + 0*n + 0 + 8/3*n**3 - 18*n**2. Factor k(h).
4*(9*h - 2)**2
Let z = 1425 - 1317. Suppose z*t - 30 = 93*t. Let -15*c**4 + 33*c**3 + 0 - 117/5*c**t + 27/5*c = 0. Calculate c.
0, 3/5, 1
Let y = 192109 - 1344745/7. Solve -2/7*k**2 - y*k + 20/7 = 0.
-10, 1
Let q = 105 + -108. Let s(m) = 6*m + 20. Let y be s(q). Find w such that -21*w + 4 - 4*w**y + 13*w + 2*w**3 + 6*w = 0.
-1, 1, 2
Let c(s) = 3*s + 39. Let b be c(-13). Let j(n) be the first derivative of -n**3 + 2*n**3 - 2*n - n - 12 + b*n. Factor j(h).
3*(h - 1)*(h + 1)
Let s(x) = x**2 + 12*x - 9. Let y be s(-14). Suppose -43 - 14 = -y*c. Suppose -c + 0*o**2 - 3/2*o**3 + 9/2*o = 0. What is o?
-2, 1
Let h(x) be the third derivative of -16/3*x**3 + 0 + 0*x - 142*x**2 + 13/15*x**5 - 1/10*x**6 - 1/3*x**4. Find n such that h(n) = 0.
-2/3, 1, 4
Let z = 17134/801 - 1706/89. Factor 2/9*v**2 - 14/9*v + z.
2*(v - 5)*(v - 2)/9
Let j be (2/2)/(-4)*0. Suppose j = 4*z + 2 - 14. Let c(l) = 5*l**2 + 40*l + 77. Let m(r) = -1. Let s(v) = z*m(v) - c(v). Suppose s(g) = 0. Calculate g.
-4
Solve -44*g**2 + 21*g**2 + 22*g**2 - 4*g - 24 - 7*g - 4 = 0.
-7, -4
Let g(x) be the third derivative of -x**8/112 + 5*x**7/7 + 39*x**6/10 + 79*x**5/10 + 53*x**4/8 - x**2 - 647. Find t such that g(t) = 0.
-1, 0, 53
Factor -460800/7*q - 1920/7*q**2 + 0 - 2/7*q**3.
-2*q*(q + 480)**2/7
Suppose -7*u + 860 = -2*u. Suppose u = -26*c + 250. Solve 0*w + 1/4*w**2 + 0 - 1/4*w**4 + 0*w**c = 0 for w.
-1, 0, 1
Let o(k) = k**5 - k**4 + 3*k**2 - k. Let v(x) = -10*x**5 + 170*x**4 - 290*x**3 - 675*x**2 + 1245*x. Let u(h) = -5*o(h) - v(h). Let u(c) = 0. What is c?
-2, 0, 2, 31
Let m(i) be the second derivative of 3*i**5/20 - 57*i**4/16 - 23*i**3/4 + 45*i**2/8 - 1303*i. Factor m(q).
3*(q - 15)*(q + 1)*(4*q - 1)/4
Determine c, given that -52/15 - 68/15*c**2 + 8/5*c**4 - 32/15*c**3 + 2/15*c**5 + 42/5*c = 0.
-13, -2, 1
Let q(a) = -13*a**2 - 15*a + 1. Let j be q(-2). Let m be j/(-168) - (-6)/16. Determine t so that -15/2*t**4 - 7/4*t**5 - 15/4*t - 25/2*t**3 - m - 10*t**2 = 0.
-1, -2/7
Suppose -23*g + 18*g = b - 9437, 3 = -b. Let z = g + -1883. Find l, given that l**4 + 0*l - 1/5*l**z + 3/5*l**2 - 7/5*l**3 + 0 = 0.
0, 1, 3
Let q(t) = 6*t - 36. Let h(g) = -42*g + 252. Let d(n) = -2*h(n) - 15*q(n). Let r be d(4). Factor r*b**2 + 12*b**3 + 0*b**4 - 5*b**4 + 4*b + 3*b**4 + 6*b**4.
4*b*(b + 1)**3
Let i(g) = -13*g**2 + 41*g - 4954. Let h(d) = -36*d**2 + 122*d - 14853. Let m(f) = -6*h(f) + 17*i(f). Determine v so that m(v) = 0.
-35, 28
Suppose -3*g = -2 - 19. Suppose 1 = 4*x - g. Factor -5*b**x + 8*b**3 + 4*b + 13*b**2 - 2 + b**2 + 5*b**2.
2*(b + 1)**2*(4*b - 1)
Let i(d) = -d**2 + 5*d + 2. Let t be i(5). Suppose -84*f = -268*f. Determine q, given that 0*q + f + 1/3*q**3 - 1/3*q**4 + 2/3*q**t = 0.
-1, 0, 2
Let s(k) = -k**2 + 1. Let p(v) = -3*v**2 + 20*v + 23. Suppose -13 = -y - 9. Suppose 10 = -4*r - j, -y*r - 4 = -0*j - 2*j. Let m(q) = r*s(q) - p(q). Factor m(w).
5*(w - 5)*(w + 1)
Let k(c) be the third derivative of c**8/336 + 2*c**7/21 + 97*c**6/120 + 97*c**5/30 + 43*c**4/6 + 28*c**3/3 - 147*c**2 + 4*c. Suppose k(x) = 0. Calculate x.
-14, -2, -1
Let c(r) = -8*r**2 - 57*r - 106. Let j(g) = 9*g**2 + 56*g + 108. Suppose 0 = 17*t + 19 + 32. Let d(u) = t*j(u) - 4*c(u). Factor d(o).
5*(o + 2)*(o + 10)
Suppose 13*h = 10*h + 153. Let l = h - 49. Find g such that 3*g**2 + 3*g**l + 3*g**3 - 11*g**4 + 8*g**4 = 0.
-1, 0, 2
Let a = -140 + 142. Let l = -2853/7 + 408. Factor 3/7 + l*v**a - 6/7*v.
3*(v - 1)**2/7
Let a(n) be the third derivative of -n**6/180 + n**5/9 - 13*n**4/36 - 8*n**3/3 - 2564*n**2. Factor a(b).
-2*(b - 8)*(b - 3)*(b + 1)/3
Let m = -508 - -633. Let o = m + -123. Suppose -3*b - 3/4*b**o - 3 = 0. What is b?
-2
Let i(t) = -2*t**3 + t**2 - t. Let p(x) = 10*x - 214. Let n be p(22). Let v(s) = 10*s**3 - 10*s**2 + 8*s + 4. Let l(w) = n*i(w) + v(w). Factor l(b).
-2*(b - 1)*(b + 1)*(b + 2)
Let j(f) be the second derivative of -f**8/10080 - f**7/2160 + f**6/2160 + 11*f**4/4 + f**2/2 + 2*f - 25. Let x(g) be the third derivative of j(g). Factor x(p).
-p*(p + 2)*(4*p - 1)/6
Let x(m) be the second derivative of 5*m + 11/20*m**5 - 1 - 1/42*m**7 + 22/3*m**3 + 8*m**2 - 1/15*m**6 + 10/3*m**4. Factor x(h).
-(h - 4)*(h + 1)**2*(h + 2)**2
Let p(g) be the second derivative of g**7/21 + 12*g**6 + 810*g**5 + 2*g - 29. Find d such that p(d) = 0.
-90, 0
Let j(l) = 6*l**4 - 238*l**3 + 2287*l**2 - 8623*l + 51. Let t(h) = -2*h**4 + 80*h**3 - 762*h**2 + 2874*h - 18. Let r(k) = 6*j(k) + 17*t(k). Factor r(u).
2*u*(u - 12)**2*(u - 10)
Suppose -2*t - 126 - 22 = -3*h, -t + 142 = 3*h. Suppose 51*k - 9 = h*k. Factor 17 + 12 + 32*d**k + 80*d**2 + 34*d - 25.
2*(d + 2)*(4*d + 1)**2
Let p be (1 + 31/(-34))*4396/11775. Let x = p - -21974/3825. Let 256/9 + 4/9*i**4 - 448/9*i + 80/3*i**2 - x*i**3 = 0. What is i?
1, 4
Let r(w) be the second derivative of -5*w**4/12 - 95*w**3/6 - 120*w**2 + 778*w. Factor r(f).
-5*(f + 3)*(f + 16)
Let w(n) be the third derivative of n**5/300 - 889*n**4/60 + n**2 - 482*n. Determine t so that w(t) = 0.
0, 1778
Let l(x) be the second derivative of 1/4*x**2 + 0 + 34*x - 1/6*x**3 + 1/24*x**4. Solve l(s) = 0.
1
Let i = -71286 + 71289. Let 9/5*q**4 - 27/5 + 3/5*q**5 - 18/5*q**i + 63/5*q - 6*q**2 = 0. What is q?
-3, 1
Let v(d) = -5*d**3 + 5*d**2 - 8. Let x(l) = 34*l + 12*l**3 - 13*l**2 + 3*l**2 - 35*l + 12 + 4. Let f(w) = 10*v(w) + 4*x(w). Solve f(k) = 0 for k.
-1, 2, 4
Let f be 481/26 + 3/2. Solve -60 - 12*m**2 + 10*m**2 - f*m + 7*m**2 = 0.
-2, 6
Let t = 24462 - 24462. Solve t*h + 3/4*h**3 + 0 - 9/4*h**2 = 0 for h.
0, 3
Suppose 0 = -4*k - 4 + 52. Let i = 262 - 198. Factor -3*v**2 + k*v - v**2 + i - 48.
-4*(v - 4)*(v + 1)
Let n(k) be the third derivative of -1/540*k**6 - k**2 - 4/135*k**5 - 19/108*k**4 + 0*k + 15 - 4/9*k**3. Factor n(t).
-2*(t + 1)*(t + 3)*(t + 4)/9
Let j = -121674 + 121676. Let d = 154 - 1076/7. Factor -d*n - 5/7*n**j + 0.
-n*(5*n + 2)/7
Let x(a) be the third derivative of a**6/180 - 13*a**5/15 - a**4/36 + 26*a**3/3 - 870*a**2. Suppose x(l) = 0. Calculate l.
-1, 1, 78
Let n = 721612 - 2164832/3. Suppose 4/3*t**3 - n*t - 4/3 + 4/3*t**2 = 0. Calculate t.
-1, 1
Let s(h) be the first derivative of -h**4/14 - 20*h**3/21 - h**2 + 36*h/7 + 2019. Determine g so that s(g) = 0.
-9, -2, 1
Let x(m) be the second derivative of m**4/48 + 61*m**3/12 - 31*m**2 + 3103*m. What is a in x(a) = 0?
-124, 2
Let z(r) be the third derivative of -23*r**6/6 - 236*r**5/15 - 127*r**4/6 - 4*r**3 + 10*r**2 - 30*r + 6. Suppose z(p) = 0. Calculate p.
-1, -6/115
Let i = 25851/146 - 12378/73. Factor 5/2*h**4 - i*h - 5/2*h**3 + 0 - 25/2*h**2.
5*h*(h - 3)*(h + 1)**2/2
Let a(j) = 10*j - 7. Let c be a(1). Suppose -m + 6*m - 29 = -c*v, -m + 25 = 3*v. Find b, given that -v*b**2 - 61*b**3 + 23*b**3 + 200*b + 2*b**4 + 168*b**2 = 0.
-1, 0, 10
Let n be (2 + (-936)/504)*0. Factor n + 3/5*s**4 - 87/5*s**2 + 39/5*s**3 + 9*s.
3*s*(s - 1)**2*(s + 15)/5
Let r = -9/15107 - -574093/45321. Factor 14 - 2/3*a**3 + 82/3*a + r*a**2.
-2*(a - 21)*(a + 1)**2/3
Let z(r) = -8*r**2 - r + 3. Let k(f) = -2*f**3 + 190*f**2 - 481*f + 311. Let m(l) = -2*k(l) - 6*z(l). Find h such that m(h) = 0.
1, 2, 80
Let x(b) = -b**3 + 9*b**2 - 100*b + 163. Let v(y) = -2*y**3 + 2*y + 3. Let c(h) = 2*v(h) - 2*x(h). Factor c(q).
-2*(q - 5)*(q - 2)*(q + 16)
Let l be (8/6)/((-1)/(-15)). Suppose 5*d = 15*d - 150. Find r, given that 80 + l*r + 5*r**2 - 10*r + 15*r + d*r = 0.
-4
Let o = 297 + -292. Suppose -3*q**4 + q**o + 17*q**2 - 15*q**3 + 2*q**5 - 26*q**2 = 0. Calculate q.
-1, 0, 3
Determine g so that -280 - 46/3*g + 1/3*g**2 = 0.
-14, 60
Let l(r) = -12*r**2 - 84*r + 417. Let u(n) = 7*n**2 + 83*n - 418. Let s(x) = -2*l(x) - 3*u(x). What is v in s(v) = 0?
7, 20
Find x such that 16*x + 30*x**5 - 128*x**4 + 6*x**2 + 47*x**2 - 26767*x**3 + 15*x**2 + 26781*x**3 = 0.
-2/5, -1/3, 0, 1, 4
Let a be (-5*(-92)/(-1035))/(2/(-12)). What is g in -4/3*g**3 + 12*g - a*g**2 + 24 = 0?
-3, -2, 3
Let i(b) be the second derivative of -b