- 7*m**2 - 7*m - 5. Let c(r) = -5*r**3 - 36*r**2 - 35*r - 26. Let p(i) = 4*c(i) - 22*g(i). Find b, given that p(b) = 0.
-3, -1
Let m be 1/(-2)*(228/95 + -4). Solve 0 + m*u**2 + 2/5*u**3 + 2/5*u = 0 for u.
-1, 0
Determine p so that p + 2*p + 2*p**3 - 3*p - 189*p**2 + 153*p**2 + 36 - 2*p = 0.
-1, 1, 18
Let m be 12/(-4) - (-3 + -2). Let s be (10/(-7))/(-4*4/28). Let 1/2*h**3 + s*h - m*h**2 - 1 = 0. Calculate h.
1, 2
Factor 0*n + 2/3*n**4 - 89/3*n**3 + 0 + 44/3*n**2.
n**2*(n - 44)*(2*n - 1)/3
Let p(h) be the third derivative of h**8/1344 - h**7/105 + 7*h**6/240 + h**5/30 - 5*h**4/32 - 86*h**2 - 3*h. Let p(j) = 0. What is j?
-1, 0, 1, 3, 5
Let o(b) = -1061*b**2 - 2*b**4 + 1060*b**2 - b - b**3 + b**4. Let w(z) = 5*z**3 + 15*z**2 + 5*z - 5. Let f(p) = 5*o(p) + w(p). Factor f(u).
-5*(u - 1)**2*(u + 1)**2
Let 16 + 16*q**3 - 5*q**4 - 10*q**2 + 14 - 30 + 7*q**3 - 8*q = 0. Calculate q.
-2/5, 0, 1, 4
Find x, given that 66 - 35 + 44*x + 4*x**2 - 8 + 73 = 0.
-8, -3
Let v(o) be the third derivative of -o**7/70 - 3*o**6/20 - 3*o**5/5 - 5*o**4/4 - 3*o**3/2 + 2*o**2 + 223*o. Determine w, given that v(w) = 0.
-3, -1
Let d(a) be the second derivative of a**5/45 + 4*a**4/27 + 10*a**3/27 + 4*a**2/9 - 292*a. Determine q so that d(q) = 0.
-2, -1
Let g = -24 - -41. Let k = g - 14. Suppose 4*u**2 + k*u**4 + 4 - 2*u**3 - u**4 + 2*u - 10*u**2 = 0. Calculate u.
-1, 1, 2
Let u(d) = -d**2 - 52*d - 530. Let b be u(-38). Factor -2/11*w**b - 4/11 + 6/11*w.
-2*(w - 2)*(w - 1)/11
Let s(v) be the second derivative of -v**6/480 + v**5/80 + 3*v**4/32 + 5*v**3/24 - 11*v**2/2 - 13*v. Let r(p) be the first derivative of s(p). Factor r(g).
-(g - 5)*(g + 1)**2/4
Find t such that 18*t**4 - 11*t + 3*t**4 - 99*t**3 + 96*t**2 + 47*t = 0.
-2/7, 0, 2, 3
Suppose -2*q + 3*q = 0. Factor 3*m**3 + 2*m**4 + q*m**3 - 2*m**3 - 2*m**2 - m**5.
-m**2*(m - 2)*(m - 1)*(m + 1)
Let j(t) be the third derivative of -t**6/300 - 11*t**5/150 - 19*t**4/60 - 3*t**3/5 - 36*t**2. Factor j(s).
-2*(s + 1)**2*(s + 9)/5
Let m(n) be the first derivative of -n**7/1260 - n**6/270 - 20*n**3/3 + 10. Let z(d) be the third derivative of m(d). Factor z(b).
-2*b**2*(b + 2)/3
Suppose -x = 5*c - 2, -3*x + c + c = 11. Let v be ((-8)/(-3))/(x/(-3)). What is b in -v*b**2 + 1/3*b**3 + 16/3*b + 0 = 0?
0, 4
Let n(w) be the second derivative of -w**8/672 + w**7/420 + w**6/240 - w**5/120 - 17*w**2/2 - 18*w. Let r(a) be the first derivative of n(a). Factor r(t).
-t**2*(t - 1)**2*(t + 1)/2
Let i(p) be the third derivative of -p**8/1848 - p**7/1155 + p**6/220 + p**5/330 - p**4/66 - 221*p**2. Let i(u) = 0. Calculate u.
-2, -1, 0, 1
Let r(t) be the third derivative of 0*t + 1/540*t**6 + 1/54*t**4 + 1/90*t**5 - 7*t**2 + 0 + 0*t**3. Factor r(u).
2*u*(u + 1)*(u + 2)/9
Suppose -3*z - 24 = -2*c, 4*z + 3*c + 14 = -1. Let h be (-78)/(-36) + 1/z. Factor 14*s**3 - 29*s**3 - 15*s**3 + 5*s**4 - 40*s + 60*s**h.
5*s*(s - 2)**3
Let b(k) be the second derivative of k**5/15 + 50*k**4/9 + 442*k. Let b(q) = 0. Calculate q.
-50, 0
Let g(s) be the third derivative of -2*s**7/15 + 67*s**6/10 + 13*s**5/3 - 67*s**4/2 - 116*s**3/3 - 16*s**2 - 3*s. Find b such that g(b) = 0.
-1, -2/7, 1, 29
Let t = 422 - 195. Let p = 231 - t. Suppose 2*x**p - 6/5*x**3 + 0*x - 4/5*x**2 + 0 = 0. Calculate x.
-2/5, 0, 1
Let k(f) be the second derivative of 0 - 1/6*f**4 - 9*f**2 + 2*f**3 + 13*f. Solve k(i) = 0 for i.
3
Let w(g) = 10*g**2 + 7*g + 4. Let y(f) = -9*f**2 - 6*f - 3. Suppose 12*l = 6*l + 36. Let o(p) = l*w(p) + 7*y(p). Suppose o(u) = 0. What is u?
-1, 1
Let m(k) be the third derivative of -36*k**4 - 1/60*k**6 - 576*k**3 + 0 - 42*k**2 + 0*k - 6/5*k**5. Suppose m(d) = 0. What is d?
-12
Let w = 607 - 607. Let v(p) be the third derivative of 1/210*p**5 - 2/21*p**3 - 1/28*p**4 + 1/735*p**7 + 0*p - 4*p**2 + 1/140*p**6 + w. Factor v(t).
2*(t - 1)*(t + 1)**2*(t + 2)/7
Suppose 2*a - 12 = -4*a. Suppose a*r - 20 = 5*w, 0 = -5*r + w - 0*w + 27. Find d, given that -5*d**4 + 2*d**2 - 3*d**3 + d**4 + r*d**4 = 0.
0, 1, 2
Let m = -21102 + 21104. Factor -1/8*g**m - 1/8*g + 0.
-g*(g + 1)/8
Let d = -2 - -11. Suppose 14 = d*x - 4. Factor -4/9 - 2/9*b**x - 2/3*b.
-2*(b + 1)*(b + 2)/9
Let m = -987 + 989. Factor -1/9*d**m - 1/9*d**3 + 0*d + 0.
-d**2*(d + 1)/9
Let u(b) be the first derivative of -1/2*b**5 + 0*b**3 + 16 + 0*b - 5/4*b**4 + 0*b**2. Let u(g) = 0. Calculate g.
-2, 0
Suppose 136*j**3 - 12*j + 135*j**4 - 184*j**3 + 207*j**3 + 12*j**2 = 0. Calculate j.
-1, -2/5, 0, 2/9
Let y(d) be the third derivative of d**8/1176 + 8*d**7/735 + 11*d**6/210 + 2*d**5/15 + 17*d**4/84 + 4*d**3/21 + 17*d**2 + 13*d. Find s such that y(s) = 0.
-4, -1
Let r(j) be the second derivative of -3/40*j**5 + 0*j**2 + 0*j**3 + 30*j - 1/24*j**4 + 0. Solve r(z) = 0 for z.
-1/3, 0
Factor 2*f**2 - 10*f - 99 - 4*f**2 - 2*f**3 + 7*f**2 + 11*f**2 - 1.
-2*(f - 5)**2*(f + 2)
Let x(n) = -2*n**5 - 3*n**4 + 15*n**3 - 13*n**2 - 3. Let f = 35 + -32. Let a(s) = s**5 - s**4 - s**3 + s**2 + s + 1. Let p(i) = f*a(i) + x(i). Factor p(d).
d*(d - 3)*(d - 1)**3
Let w(l) be the third derivative of l**5/72 - 169*l**4/48 + 101*l**3/18 - 387*l**2. Factor w(n).
(n - 101)*(5*n - 2)/6
Factor -58*q**4 - 2*q**2 + 120*q**4 - 8*q**2 + 5*q**3 - 57*q**4.
5*q**2*(q - 1)*(q + 2)
Let n = 11647 - 11645. Solve -1/5*y - 2/5 + 1/5*y**n = 0.
-1, 2
Let h = 47/10 - 1/5. Let u(t) be the second derivative of -t - 81/2*t**2 + 0 + 18*t**3 + 3/5*t**5 - 1/30*t**6 - h*t**4. Solve u(s) = 0.
3
Factor -18/5*o + 2/5*o**2 + 16/5.
2*(o - 8)*(o - 1)/5
Suppose s = -5*a + 813, -4*s = -5*a - 0*a + 823. Suppose 17 = 4*z - a. Solve 4*r**5 + z*r**2 + 1 + 12*r**3 - 61*r**2 - 1 - 16*r + 16*r**4 = 0 for r.
-2, -1, 0, 1
Let o be (1680/1428)/(2/1). Suppose 2/17*c + 0 + o*c**3 + 8/17*c**2 + 4/17*c**4 = 0. What is c?
-1, -1/2, 0
Suppose -5*n + 6*n + 6 = g, -18 = g + 5*n. Factor -64/5 + 32/5*j - 4/5*j**g.
-4*(j - 4)**2/5
Determine u so that -2/3*u**3 + 32/3 + 56/3*u - 2/3*u**4 + 8*u**2 = 0.
-2, -1, 4
Let v(j) be the second derivative of -j**5/20 - 3*j**4/8 + 31*j**2/2 - 24*j + 2. Let r(z) be the first derivative of v(z). What is f in r(f) = 0?
-3, 0
Factor -5*h - 5*h**2 + 0*h**2 - 4*h**2 + 0*h**2 + 11*h**2 - 6 + h**3.
(h - 2)*(h + 1)*(h + 3)
Let t(d) = d**2 - 9*d + 17. Let b be t(6). Let w be -14*b/4 - 5/(-10). Solve 1/3*u**5 + 0*u**2 - 2/3*u**3 + 0*u**w + 0 + 1/3*u = 0.
-1, 0, 1
Suppose -8 = 2*s, -4*o - 6*s + s - 12 = 0. Factor -8*b**4 - o*b**5 - 33*b**2 + 4*b - 2*b**5 + 41*b**2.
-4*b*(b - 1)*(b + 1)**3
Suppose 0 = 4*k - 2*k - 2, -f + 9 = 3*k. Suppose -b - 4 = -f. Factor -1/2*a**3 + 0 + 3/4*a**4 + 1/2*a - 3/4*a**b.
a*(a - 1)*(a + 1)*(3*a - 2)/4
Let d(t) be the second derivative of -t**6/20 - 3*t**5/40 + 5*t**4/8 - 3*t**3/4 - 71*t. Factor d(k).
-3*k*(k - 1)**2*(k + 3)/2
Let q(x) be the third derivative of -x**8/336 - 3*x**7/70 - 29*x**6/120 - 43*x**5/60 - 5*x**4/4 - 4*x**3/3 - 302*x**2. Factor q(c).
-(c + 1)**3*(c + 2)*(c + 4)
Let j(w) be the second derivative of -w**7/21 + 31*w**6/15 - 177*w**5/5 + 297*w**4 - 1215*w**3 + 2187*w**2 - 204*w. Determine c so that j(c) = 0.
1, 3, 9
Suppose 14*g + 1135 = 1163. Let s be ((-3)/27)/((-5)/30). Solve 0 - s*z**g - 4/3*z = 0 for z.
-2, 0
Let p(t) be the second derivative of -t**5/35 - 2*t**4/21 + 82*t. Solve p(l) = 0.
-2, 0
Let u = -26 + 28. Find x, given that -2*x**2 - 8*x - x**2 + u*x = 0.
-2, 0
Let l = 20 - 12. Suppose -2*b + l = 2*b. Factor w - 2*w**2 + 4*w**b + w**4 + 0*w**3 - 3*w**2 - w**3.
w*(w - 1)**2*(w + 1)
Find c such that 6 - 21/4*c**5 - 51/2*c**2 + 51/4*c**3 - 15*c + 12*c**4 = 0.
-1, 2/7, 2
Find k such that -2/5*k**4 - 6/5*k**3 - 24*k + 64/5*k**2 + 64/5 = 0.
-8, 1, 2
Find d such that 0 + 10*d + 2*d**2 + 1/10*d**3 = 0.
-10, 0
Let u = -1009/46 - -68657/322. Let h = u - 191. Factor -h*g**2 + 6/7*g - 4/7.
-2*(g - 2)*(g - 1)/7
Let c(q) be the first derivative of q**9/13608 + q**8/1890 + q**7/945 + 23*q**3/3 + 3. Let z(f) be the third derivative of c(f). Determine k so that z(k) = 0.
-2, 0
Suppose 0*i + 11 = i. Let -i*f**5 + 0*f**4 - 2*f**3 + 12*f**5 - f**4 = 0. Calculate f.
-1, 0, 2
Let q = 4015/3 + -1338. Factor 2/3*w - 1 + q*w**2.
(w - 1)*(w + 3)/3
Let h(m) be the second derivative of -m**6/15 - 113*m**5/5 - 4331*m**4/2 - 25312*m**3/3 - 12544*m**2 + 215*m. Solve h(a) = 0.
-112, -1
Let k(l) = -29*l**2 - 1047*l + 28090. Let o(c) = 13*c**2 + 524*c 