 - 209*t**3/3 + 98. Let b(z) be the third derivative of a(z). Factor b(l).
2*l*(l - 23)/5
Let p(u) be the second derivative of -70/3*u**7 - 9 - 158*u**5 - 16*u**3 + 3*u - 236/3*u**4 - 1946/15*u**6 + 0*u**2. Suppose p(i) = 0. What is i?
-3, -2/5, -2/7, 0
Let m = 3/14830 + -32459/13836390. Let q = 937/1866 + m. Factor -3/2 + q*k**2 + k.
(k - 1)*(k + 3)/2
Let l be (-8)/10*85/(-34) - 0/2. Let c = 6 - 4. Factor 8*i + 0*i - 6*i + l*i**3 + 4*i**c.
2*i*(i + 1)**2
Suppose -6 = -2*t + 42. Suppose -1 = -5*k + j + t, 5*j = -2*k + 10. Suppose 8 - 13 - 10 - k - 25*s - 5*s**2 = 0. What is s?
-4, -1
Let j be (-8)/(-26)*68/((-10744)/(-1027)). Factor -30/13*v**j + 144/13*v - 152/13 - 2/13*v**3.
-2*(v - 2)**2*(v + 19)/13
Let i(f) be the third derivative of -f**5/15 - 143*f**4/6 + 96*f**3 - 540*f**2 - 2*f. Suppose i(h) = 0. Calculate h.
-144, 1
Suppose 136*a - 127*a - 18 = 0. Let y(w) = 2*w**2 + 29*w - 66. Let b be y(a). Find n, given that 6/11*n**4 + b*n**3 + 0*n - 8/11*n**2 + 2/11*n**5 + 0 = 0.
-2, 0, 1
Let b = -478 - -457. Let u be 0/(b/(-7) + 7). Factor u - 8/5*m + 4/5*m**2.
4*m*(m - 2)/5
Let g be ((-2)/(8/6))/(149/(-149)). Let u = 535/712 - 1/712. Factor -9/4*d + u*d**2 + g.
3*(d - 2)*(d - 1)/4
Suppose 3*t - 499 = -379. Suppose 10*i + 0*i = t. Factor 9/4*n**i + 21/4*n**3 + 9/4*n**2 - 3/2 - 9/4*n.
3*(n + 1)**3*(3*n - 2)/4
Let c(p) be the third derivative of -p**8/1848 - p**7/105 - 43*p**6/660 - 73*p**5/330 - 14*p**4/33 - 16*p**3/33 - 4898*p**2. Determine u, given that c(u) = 0.
-4, -1
Suppose 4*g = -5*h - 1432, -37*h + 4*g - 1408 = -32*h. Let z = -2271/8 - h. Factor -1/2*b**2 + z*b + 0.
-b*(4*b - 1)/8
Let s(g) = -g**3 - 2*g**2 - g + 28. Let c be s(0). Suppose -14*u - 36 = -4*a - 9*u, -3*u - c = -4*a. Find l, given that -8/3 - a*l - 4/3*l**2 = 0.
-2, -1
Suppose s - 2 = -w, -2*s - 14 + 8 = 0. Let b(d) be the second derivative of 0*d**2 + 0 - 1/3*d**3 + 6*d - 1/12*d**4 + 1/20*d**w. Factor b(a).
a*(a - 2)*(a + 1)
Let f(j) be the third derivative of -1/2*j**4 + 1/15*j**5 + 12 - 8/3*j**3 + 3*j**2 + 0*j. Factor f(c).
4*(c - 4)*(c + 1)
Factor -4/3*t + 0 + 8/9*t**2 - 1/9*t**3.
-t*(t - 6)*(t - 2)/9
Let l(n) be the second derivative of -3*n + 1/30*n**6 + 0*n**2 + 12 - 1/42*n**7 + 0*n**4 + 1/10*n**5 + 0*n**3. Suppose l(v) = 0. What is v?
-1, 0, 2
Let g be (1 - -3)/(-1) + -16*341/(-1056). What is d in -1/2 + g*d**3 - 7/6*d + 1/6*d**2 + 1/3*d**4 = 0?
-3, -1, -1/2, 1
Suppose d = 4, 5*u + 3*d - 7*d + 1 = 0. Find x, given that -13 - 22 - 3*x**3 + 29 + 6*x**2 + u*x = 0.
-1, 1, 2
What is i in -261*i**3 - 289*i**3 + 57*i**3 - 232*i**4 - 34*i**3 - 41*i**3 - 28*i**5 - 40 - 592*i**2 - 268*i = 0?
-5, -1, -2/7
Let p = 44054 + -178189/4. Let j = -491 - p. Factor 1/4*a**2 + j - 3/2*a.
(a - 3)**2/4
Let a(r) be the second derivative of 1/30*r**4 + 29/15*r**3 + 40*r + 28/5*r**2 + 0. Find s, given that a(s) = 0.
-28, -1
Suppose 32/3 + 40/3*h + 2/3*h**3 + 16/3*h**2 = 0. Calculate h.
-4, -2
Suppose 501 = 38*b + 129*b. Let t(l) be the first derivative of -15*l - 14 + 5/3*l**b + 5*l**2. Solve t(d) = 0.
-3, 1
Let x = -3407 + 3410. Let j(h) be the first derivative of 5/46*h**4 - x + 6/115*h**5 + 0*h - 2/23*h**3 - 1/23*h**2 - 4/69*h**6. Find n, given that j(n) = 0.
-1, -1/4, 0, 1
Let q(l) be the first derivative of l**4/28 - 19*l**3/21 + 32*l**2/7 - 60*l/7 - 695. Suppose q(x) = 0. What is x?
2, 15
Let o(i) = 17*i**4 + 1089*i**3 - 2241*i**2 + 1105*i. Let l(f) = 15*f**4 + 1090*f**3 - 2235*f**2 + 1105*f. Let q(p) = -6*l(p) + 5*o(p). What is x in q(x) = 0?
-221, 0, 1
Let s be ((-5 + 1)*22/132)/((-8)/16). Let n(f) = f**3 + 7*f**2 + 9*f + 18. Let m be n(-6). Suppose m - s*k - 2*k**2 - 2/3*k**3 = 0. What is k?
-2, -1, 0
Suppose d + 2*z - 84 + 62 = 0, -2*z = -2*d + 44. Solve -10/3*x**3 - 24*x - d*x**2 + 40/3 = 0.
-5, -2, 2/5
Let g(r) be the second derivative of r**8/1680 - 8*r**7/315 + r**6/4 + 27*r**5/5 - 11*r**4 + 80*r + 1. Let q(t) be the third derivative of g(t). Factor q(h).
4*(h - 9)**2*(h + 2)
Let j = 251661/10 + -25166. Let n(s) be the first derivative of 0*s + 37 + 0*s**2 + 8/15*s**3 + j*s**4. Find m such that n(m) = 0.
-4, 0
Let n = -2203959/40 + 275548/5. Find h such that -21/2*h + 1/8*h**2 - n = 0.
-1, 85
What is g in 12240/7*g + 100/7 + 374544/7*g**2 = 0?
-5/306
Let f(a) be the second derivative of a**5/190 - 2849*a**4/114 + 35575*a**3 + 106875*a**2 + 5158*a. Factor f(b).
2*(b - 1425)**2*(b + 1)/19
Let u(d) be the first derivative of -d**3/12 - 157*d**2/4 + 315*d/4 - 1576. Determine w so that u(w) = 0.
-315, 1
Suppose 2 = 10*x - 18. Let z be (-20*1)/((-5)/((-140)/(-8))). Factor 4*m - 3 - z*m**2 + 140*m**2 - 71*m**x.
-(m - 3)*(m - 1)
Let d be (-6 - (-100)/15)*45/6. Suppose -5*g - 15 = 5*k, 4*g + 25 = d*k + g. Factor 0 + 1/5*f**k + 3/5*f.
f*(f + 3)/5
Let i be (-378)/810*45/(-12). Let c(g) be the first derivative of 45/8*g**2 + i*g**3 + 3/16*g**4 + 27/4*g - 10. Factor c(l).
3*(l + 1)*(l + 3)**2/4
Let l(q) be the first derivative of 4*q**7/35 + 61*q**6/120 + 13*q**5/20 - 3*q**4/8 + 2*q**3 - 51. Let u(f) be the third derivative of l(f). Factor u(i).
3*(i + 1)**2*(32*i - 3)
Suppose 3*n - 5*p = 298, -2*p - 522 = -6*n + n. Let h be 8/36 - n/(-9). Find g, given that 6*g - h*g**2 - 14*g + 42*g**3 - 46*g**3 = 0.
-2, -1, 0
Let l(h) = -242*h + 729. Let u be l(3). Suppose -2*f + 4*j = 0, -f = 5*j - 16 + 2. Factor -u*k**2 - 25/2 - 4*k**3 + 20*k - 1/2*k**f.
-(k - 1)**2*(k + 5)**2/2
Suppose -4*v + 4*d = 4, -5*v + 9*v = -3*d + 31. Suppose 9*u - 23 = v. Suppose 9*g**4 - 9*g**2 - 93 + 93 + 3*g**5 + u*g**3 - 6*g = 0. Calculate g.
-2, -1, 0, 1
Find q, given that 3/2*q**3 - 6*q**2 - 16*q + 0 + 1/4*q**4 = 0.
-8, -2, 0, 4
Suppose 8*n = 5*v + 9*n - 14, -n = 1. Let u(w) be the second derivative of 0 + 1/9*w**v - 34*w + 0*w**2 - 1/18*w**4. Let u(k) = 0. Calculate k.
0, 1
Let o be ((-2)/13)/(6/(-34 - 44)). Let -2/3*j - 1/3*j**4 + 1/3*j**o + j**3 - 1/3*j**5 + 0 = 0. Calculate j.
-2, -1, 0, 1
Let c be 164/(-328) + ((-14)/(-136))/(8/48). What is a in -c*a**2 + 0 - 22/17*a = 0?
-11, 0
Let d(x) be the second derivative of 0*x**2 - 1/2*x**3 + 3*x - 8 - 1/60*x**4. Factor d(r).
-r*(r + 15)/5
Suppose -33*f = -291*f. Let k(o) be the second derivative of 1/6*o**3 + 12*o + 0*o**2 + f - 1/12*o**4. Factor k(v).
-v*(v - 1)
Let l(d) be the third derivative of 0 - 1/90*d**6 - 3*d + 0*d**3 - 128/9*d**4 - 25*d**2 + 32/45*d**5. Factor l(b).
-4*b*(b - 16)**2/3
Let q be (-16)/184*694/(-4) - 28/322. Let n(o) be the third derivative of q*o**2 + 0*o - 11/20*o**5 + 9/8*o**4 + o**3 + 0. Factor n(l).
-3*(l - 1)*(11*l + 2)
Suppose 44/7 - 4/7*y - 55/7*y**2 + 5/7*y**3 - 1/7*y**5 + 11/7*y**4 = 0. What is y?
-2, -1, 1, 2, 11
Let f(l) be the third derivative of 0*l - 5/6*l**4 - 2*l**3 - 7/45*l**5 + 16 + l**2 - 1/90*l**6. Determine m, given that f(m) = 0.
-3, -1
Let u(t) be the third derivative of t**6/160 - 137*t**5/16 + 1367*t**4/32 - 683*t**3/8 - 2505*t**2. Determine n, given that u(n) = 0.
1, 683
Let p(q) be the third derivative of q**9/9072 - q**8/1680 - q**7/2520 + q**6/360 + 52*q**3/3 - 166*q**2. Let d(a) be the first derivative of p(a). Factor d(f).
f**2*(f - 3)*(f - 1)*(f + 1)/3
Let s(x) be the second derivative of -x**4/36 - 589*x**3/18 - 587*x**2/3 - 1088*x + 3. What is a in s(a) = 0?
-587, -2
Suppose -d = -5*m - 6*d + 5, m + 3*d = 3. Suppose -502 = -2*c - 2*f + 460, 4*f + 20 = m. Factor 162*j + c + 18*j**2 + 2/3*j**3.
2*(j + 9)**3/3
Let y = 139 + -112. Determine q, given that 39*q + y - 3*q - 18*q + 3*q**2 = 0.
-3
Let r = -1 - -1. Let p be -1 - ((-1296)/(-63))/(-16). Let r - 4/7*h - p*h**2 = 0. What is h?
-2, 0
Let y(p) be the second derivative of p**5/9 - 11*p**4/36 + p**3/9 - 24*p**2 - 20*p + 1. Let c(g) be the first derivative of y(g). Factor c(f).
2*(f - 1)*(10*f - 1)/3
Let f(y) be the second derivative of -y**5/50 + 34*y**4/15 + 284*y**3/15 + 288*y**2/5 + 9*y - 473. Factor f(c).
-2*(c - 72)*(c + 2)**2/5
Let m(v) be the third derivative of 2/15*v**5 + 0 + 0*v**3 + 1/6*v**4 + 76*v**2 + v - 7/30*v**6 + 8/105*v**7. Factor m(r).
4*r*(r - 1)**2*(4*r + 1)
Let x(i) = -i**3 - 23*i**2 - 75*i - 691. Let n be x(-21). Factor 3/2*j**3 + 1/2 + 1/2*j - 5/2*j**n.
(j - 1)**2*(3*j + 1)/2
Let p = -424/3 + 857/6. Let w(k) be the second derivative of -1/2*k**3 - 1/4*k**4 + 3/20*k**5 + p*k**2 + 17*k + 0. Suppose w(v) = 0. What is v?
-1, 1
Let c(v) be the 