 0*m**3 + g*m**5.
5*m*(m - 1)*(m + 1)**3/3
Let w be 42/(-72)*2 + 1/6. Let p(t) = -4*t**5 + 8*t**4 - 8*t**2 + 2*t + 2. Let c(x) = x - 1. Let g(u) = w*p(u) - 2*c(u). Suppose g(i) = 0. What is i?
-1, 0, 1
What is v in -50*v**3 + 39*v**2 + 20*v + 8*v**4 + 6*v**2 - 22*v**4 - v**4 = 0?
-4, -1/3, 0, 1
Let m(s) be the first derivative of s**9/4536 - s**7/210 - 2*s**6/135 - s**5/60 + 16*s**3/3 - 8. Let t(z) be the third derivative of m(z). Factor t(f).
2*f*(f - 3)*(f + 1)**3/3
Let g(k) be the third derivative of k**5/80 - 3*k**4/16 + 5*k**3/8 + 17*k**2 + 3*k. Factor g(o).
3*(o - 5)*(o - 1)/4
Let w(d) be the first derivative of d**5/20 + d**4/8 + d**3/12 + 243. Find u such that w(u) = 0.
-1, 0
Let a(s) be the first derivative of -1/16*s**4 - 1/4*s + 1/12*s**3 + 3 + 1/8*s**2. Suppose a(z) = 0. What is z?
-1, 1
Let o(r) be the third derivative of 0*r**4 + 0*r + 0 + 0*r**7 + 1/168*r**8 + 12*r**2 + 0*r**3 - 1/60*r**6 + 0*r**5. Factor o(y).
2*y**3*(y - 1)*(y + 1)
Let s(o) be the first derivative of o**4/72 + o**3/9 + o**2/4 - 10*o + 17. Let i(w) be the first derivative of s(w). Determine l so that i(l) = 0.
-3, -1
Suppose 0 = 2*i + 2*q, -3*q = -5*i + 6*i. Let b = 13/8 + -153/104. Find l, given that -12/13*l**2 + i + 10/13*l**3 + b*l = 0.
0, 1/5, 1
Let -110*n + 54*n**2 - 56 - 4*n**3 + 6*n**3 - 106*n**2 = 0. Calculate n.
-1, 28
Let w be (1 + 0 + 5)/((-9)/(-6)). Factor 35*p**4 - 4*p**3 + p + 2 + 2*p**5 - 4*p**2 + p - 33*p**w.
2*(p - 1)**2*(p + 1)**3
Suppose j - 80 = -3*j. Let i = j - 14. Find c, given that 1 + 6*c**3 - 2 - 2*c**4 + 2*c - i*c**2 + 1 = 0.
0, 1
Let r(f) = f**3 - 2*f**2 + 6*f - 7. Let y be r(2). Solve 0*z**y - z**5 - 6*z**3 + z**5 + 3*z + 3*z**5 = 0.
-1, 0, 1
Let u be (-2)/10 - 4*(-143)/260. Factor -16*h**u - 5/2*h**3 - 9 - 57/2*h.
-(h + 3)**2*(5*h + 2)/2
Suppose -33/5*c + c**2 + 28/5 = 0. What is c?
1, 28/5
Let w(c) be the third derivative of c**6/12 - 77*c**5/30 + 25*c**4/3 - 28*c**3/3 + 80*c**2. Find p such that w(p) = 0.
2/5, 1, 14
Let j = 135 - 133. Let l be j*(-21)/70*(-4)/6. Factor 4/5 - l*u**2 - 2/5*u.
-2*(u - 1)*(u + 2)/5
Let c(o) be the second derivative of -3/28*o**4 + 0 + 2*o - 3/140*o**5 - 1/7*o**3 + 0*o**2. Determine j, given that c(j) = 0.
-2, -1, 0
Factor 8670*x + 2/5*x**3 + 102*x**2 + 245650.
2*(x + 85)**3/5
Let r(l) be the second derivative of l**4/42 - 5*l**3/7 - 16*l**2/7 - l + 83. Let r(m) = 0. Calculate m.
-1, 16
Let i = -12/17 - -1277/1785. Let q(x) be the second derivative of 0*x**3 + 0 + 0*x**4 - 1/70*x**5 - x - i*x**6 + 0*x**2. Factor q(p).
-2*p**3*(p + 1)/7
Let f(s) be the third derivative of -s**11/166320 + s**5/30 + 2*s**2. Let i(l) be the third derivative of f(l). Determine d so that i(d) = 0.
0
Let s(y) = -y**2 + y. Let h(x) = x**3 - 41*x**2 + 327*x + 361. Let f(i) = -h(i) + 4*s(i). Factor f(w).
-(w - 19)**2*(w + 1)
Suppose 7*j - 13 = 15. Let m(q) be the first derivative of -1/4*q + 1/12*q**3 - 6 + 1/16*q**j - 1/8*q**2. Solve m(f) = 0 for f.
-1, 1
Determine q so that 158/5 + 2/5*q**2 + 32*q = 0.
-79, -1
Solve -8/13*z**2 + 8/13*z + 8/13*z**4 + 0 - 2/13*z**5 - 6/13*z**3 = 0.
-1, 0, 1, 2
Factor 5/2 - 29/6*d - 1/3*d**2.
-(d + 15)*(2*d - 1)/6
Factor -17*j**4 + j**4 - 121*j**3 - 9*j + 120*j**2 - 23*j + 97*j**3 + 2*j**4.
-2*j*(j - 2)*(j + 4)*(7*j - 2)
Let m(k) be the first derivative of k**5/45 - k**4/9 + k**3/9 - 123. Determine j so that m(j) = 0.
0, 1, 3
Determine b so that -27*b - 32*b - 36*b**3 - 64*b**2 + b**2 - 21*b - 4*b**4 - 33*b**2 = 0.
-5, -2, 0
Suppose -119 = -h + 3*g + 2*g, 4*g = -12. Let t = h + 39. Let t*k**2 + 2*k**3 + k**4 - 143*k**2 = 0. Calculate k.
-2, 0
Let -32/5*u - 36/5*u**3 + 152/5*u**2 + 0 = 0. What is u?
0, 2/9, 4
Let y(j) = -33*j**4 + 30*j**3 + 33*j**2 - 66*j + 27. Let s(i) = -4*i**4 - i**3 + 2*i**2 + i - 1. Let k(l) = -3*s(l) + y(l). Let k(t) = 0. What is t?
-10/7, 1
Let i = 31 + 5. Factor -27*w - 140*w**4 - i*w**2 + 6*w**3 - 3*w**5 + 77*w**4 + 75*w**4.
-3*w*(w - 3)**2*(w + 1)**2
Let z(p) = -4*p**2 - 3*p + 1. Let a(d) be the third derivative of 5*d**2 - 5/24*d**4 + 1/3*d**3 + 0 - 7/60*d**5 + 0*d. Let i(w) = 6*a(w) - 10*z(w). Factor i(q).
-2*(q - 1)*(q + 1)
Let m(d) be the second derivative of d**5/270 - 5*d**2 - 11*d. Let r(q) be the first derivative of m(q). Determine t so that r(t) = 0.
0
Let p(x) = 2*x**3 + x**2 - x + 2. Let a(c) = -10*c**3 + 34*c**2 - 64*c - 8. Let w(j) = -a(j) - 4*p(j). Factor w(q).
2*q*(q - 17)*(q - 2)
Let y be 950/35 + 1/(-7). Suppose -3 = 3*s - y. Find f such that s - 15*f - 13*f - 8*f**2 - 9*f**3 + 37*f**3 = 0.
-1, 2/7, 1
Let l(r) be the second derivative of 5*r**7/42 - r**6/3 + r**5/4 - 2*r - 47. Factor l(d).
5*d**3*(d - 1)**2
Let v(f) be the first derivative of -1 + 0*f + 3/2*f**2 - 1/24*f**4 + 0*f**3 + 1/60*f**5. Let j(u) be the second derivative of v(u). Let j(p) = 0. Calculate p.
0, 1
Let b(f) = -f**2 - 11*f + 4. Let u be b(-11). What is m in -14*m**4 + 20*m**u - 11*m**2 - 7*m**2 - 4*m**3 - 8 + 24*m = 0?
-2, 2/3, 1
Let y(l) be the first derivative of l**4/6 + 2*l**3 + 9*l**2 - 3*l + 2. Let s(q) be the first derivative of y(q). Determine k, given that s(k) = 0.
-3
Let f(r) be the second derivative of 0 + 1/100*r**5 - 5/2*r**2 + 1/10*r**4 + 7*r + 3/10*r**3. Let o(h) be the first derivative of f(h). Let o(y) = 0. What is y?
-3, -1
Factor -35*f**4 - 29*f**2 + 43*f**2 - 33*f**2 + 52*f**3 + 2*f.
-f*(f - 1)*(5*f - 1)*(7*f - 2)
Find g, given that 112/3*g - 49/3*g**5 + 184/3*g**2 - 175/3*g**4 - 88/3*g**3 + 16/3 = 0.
-2, -2/7, 1
Factor 8798 + 1386*b**2 - 104*b**3 + 3*b**4 + 3181 - 7260*b - 4*b**3.
3*(b - 11)**3*(b - 3)
Let y(b) be the first derivative of -3*b + b**3 - 7 + 3*b**2 - 3/2*b**4. Factor y(p).
-3*(p - 1)*(p + 1)*(2*p - 1)
Let t(s) be the first derivative of 0*s**3 + s**2 + 0*s - 1/120*s**6 - 1/24*s**4 - 3 + 1/30*s**5. Let a(f) be the second derivative of t(f). Factor a(z).
-z*(z - 1)**2
Let s(d) be the second derivative of d**8/560 + d**7/630 - 3*d**4/2 + 3*d. Let h(b) be the third derivative of s(b). Factor h(w).
4*w**2*(3*w + 1)
Let w be -20*-4*7/(-16). Let n = -23 - w. Factor 3*m**4 - 3*m + 3 + 7*m**2 - n*m**3 - 9*m + 11*m**2.
3*(m - 1)**4
Suppose 0 = 2*d - d - 2*r - 371, -3*r = -d + 376. Factor -12*s**4 + 345*s**3 - 4*s**2 - d*s**3 + 0*s**4.
-4*s**2*(s + 1)*(3*s + 1)
Suppose -24*u - 131*u = -7*u - 444. Suppose 0*w**2 + 4/7*w + 0 - 4/7*w**u = 0. Calculate w.
-1, 0, 1
Suppose -2*u + 3*u + 4*h - 22 = 0, 3*u + 2*h - 16 = 0. Let x be (-154)/44*(-5)/u. Suppose -g**4 - g**3 + 0*g + 0 + 0*g**2 + x*g**5 = 0. Calculate g.
-2/7, 0, 2/5
Let o be (-1)/652*((-68)/(-10) - 6). Let n = 13023/13855 - o. Let 32/17 + n*w + 2/17*w**2 = 0. What is w?
-4
Let n be 15/5*(-25)/(-125). Let a be (-6)/10*1 + 2. Suppose 12/5*p**2 - 2/5 + a*p**3 + n*p = 0. Calculate p.
-1, 2/7
Let r(m) = m**3 + m**2 + m + 2. Let b(q) = -3*q**5 + 9*q**4 + 50*q**3 - 166*q**2 - 247*q + 721. Let t(f) = b(f) + 4*r(f). Suppose t(c) = 0. What is c?
-3, 3
Suppose 3*w = 18*w. Let y(c) be the third derivative of 1/30*c**5 + 7*c**2 + 1/4*c**4 + w*c**3 + 0 + 0*c. Factor y(g).
2*g*(g + 3)
Let c(g) be the second derivative of g**7/21 + 8*g**6/15 + 3*g**5/2 - 693*g. Factor c(f).
2*f**3*(f + 3)*(f + 5)
Let d(f) be the second derivative of -f**6/150 - 3*f**5/100 - f**4/20 - f**3/30 + 24*f. Determine h so that d(h) = 0.
-1, 0
Let g(d) = -2*d + 42 - 85 + 36. Let s be g(-5). Solve 4/5*q**2 + 0*q + 0 + 22/5*q**s + 32/5*q**4 + 14/5*q**5 = 0.
-1, -2/7, 0
Let k(t) be the first derivative of t**4/8 - 3*t**3/2 + 15*t**2/4 + 25*t/2 - 382. Determine g, given that k(g) = 0.
-1, 5
Let j(c) be the first derivative of c**4/48 + c**3/12 + c**2/8 - 5*c - 14. Let z(s) be the first derivative of j(s). What is d in z(d) = 0?
-1
Let p(y) be the third derivative of 4*y**3 + 0*y - y**2 + 3 - 1/30*y**5 + 1/3*y**4. Factor p(l).
-2*(l - 6)*(l + 2)
Let c(x) = x**5 + x**2 - x - 1. Let h(v) = -v**5 - v**4 - 2*v**3 - 2*v**2 + 2*v + 2. Let f(w) = 2*c(w) + h(w). Determine l so that f(l) = 0.
-1, 0, 2
Factor 16/5 - 1/5*w**2 - 6/5*w.
-(w - 2)*(w + 8)/5
Let x(d) be the first derivative of d**5/6 - 5*d**4/12 - 20*d**3/9 - 124. Determine z, given that x(z) = 0.
-2, 0, 4
Let r be (-2)/(-48)*(-1 + (-174)/10). Let z = 7/6 + r. Suppose -z*o**2 + 4/5 - 2/5*o = 0. What is o?
-2, 1
Let d = -309947/5 - -62210. Let q = d + -220. Let 0*h**3 - q*h**4 + 9/5*h**2 + 0 - 6/