 i(m) = 0.
-1/3, 0
Factor 4*q - 628 + 314 + 96*q**3 - 64*q**4 + 314 - 36*q**2.
-4*q*(q - 1)*(4*q - 1)**2
Let w be 9/(-2)*14/(-21). Let m(f) be the second derivative of -1/20*f**5 + 0*f**w + 0 - f - 1/12*f**4 + 0*f**2. Suppose m(p) = 0. Calculate p.
-1, 0
Let p(r) be the first derivative of r**4/30 + 2*r**3/15 - r**2/15 - 2*r/5 - 3. Let p(w) = 0. Calculate w.
-3, -1, 1
Let n = 4 + -22. Let s be ((-15)/10)/(n/8). Factor -s*h**3 - 4/3 + 2*h + 0*h**2.
-2*(h - 1)**2*(h + 2)/3
Suppose -9 = -0*m - 3*m. What is l in 5*l + 5*l**2 - 3*l + m*l**2 = 0?
-1/4, 0
Let n(h) be the third derivative of h**5/140 - 11*h**4/56 - 6*h**3/7 + 6*h**2. Factor n(f).
3*(f - 12)*(f + 1)/7
Let v(c) be the third derivative of 5*c**6/3 - 2*c**5/3 + c**4/12 - 16*c**2. Factor v(y).
2*y*(10*y - 1)**2
Let b(s) be the first derivative of -5*s**4/4 + 15*s**3 - 60*s**2 + 80*s - 6. Suppose b(r) = 0. Calculate r.
1, 4
Let d(x) be the third derivative of -3*x**6/40 - 11*x**5/20 - x**4 + 2*x**3 - 2*x**2. Suppose d(c) = 0. Calculate c.
-2, 1/3
Let n = 53/12 + -11/3. Let h(l) be the first derivative of -1 - 2/3*l**3 + n*l**4 - 3/2*l**2 + 2*l. Factor h(u).
(u - 1)*(u + 1)*(3*u - 2)
Let c be 1/(-4) + (-369)/156. Let n = c + 185/26. Let -1 + 9/2*w**3 - 5/2*w**2 - n*w + 7/2*w**4 = 0. What is w?
-1, -2/7, 1
Let y = 7 + -4. Suppose -18 = -3*s - 3*k, -4*s - 3*k + 10 = -10. Solve -16/7 - 72/7*b - 12*b**s - 6/7*b**4 - 38/7*b**y = 0.
-2, -1/3
Let q = 253373 - 58529006/231. Let h = q - 1/77. What is o in 0 + 2/3*o - h*o**2 = 0?
0, 1
Let j(c) = -10*c**3 + 16*c**2 + 21*c - 16. Let x(m) = 0*m**3 - m**3 + 3*m**2 - m**3 - 3 + 4*m + 0. Let n(l) = -2*j(l) + 11*x(l). What is u in n(u) = 0?
-1, 1/2, 1
Let y(x) be the second derivative of -x**7/49 - x**6/21 + x**5/70 + 5*x**4/42 + 2*x**3/21 + 4*x. Let y(l) = 0. What is l?
-1, -2/3, 0, 1
Factor -4/3*k**3 + 0*k + 0 + 2/3*k**2 - 8/3*k**5 - 14/3*k**4.
-2*k**2*(k + 1)**2*(4*k - 1)/3
Let d be (0/(-4))/(-2) + (1 - 1). Factor y**2 - 1/2*y**3 + 0 + d*y.
-y**2*(y - 2)/2
Let j(p) be the second derivative of -p**6/90 + p**5/15 - p**4/6 - 5*p**3/6 + 11*p. Let f(h) be the second derivative of j(h). Determine w so that f(w) = 0.
1
Let d(t) be the first derivative of -2 + 0*t**2 - 3*t - 1/42*t**4 - 1/21*t**3. Let b(g) be the first derivative of d(g). Factor b(w).
-2*w*(w + 1)/7
Let l(m) = 2*m**2 - 25*m - 39. Let t be l(14). Factor 3/2 + 0*r - t*r**2 + 0*r**3 + 3/2*r**4.
3*(r - 1)**2*(r + 1)**2/2
Let c(a) be the first derivative of -a**5/15 + 2*a**3/9 - a/3 + 7. Determine o so that c(o) = 0.
-1, 1
Suppose m - 4*m = -15. Determine f, given that -2*f**2 - f + 0*f**4 - 4*f**5 + 2*f**5 + 2*f**4 + 3*f**m = 0.
-1, 0, 1
Let k(q) be the third derivative of q**6/180 + q**5/45 - q**4/36 - 2*q**3/9 + 12*q**2 - 2. Determine y, given that k(y) = 0.
-2, -1, 1
Let y(c) = 4*c**2. Let k(i) = 29*i**2 - 1. Let f(n) = -4*k(n) + 28*y(n). Factor f(w).
-4*(w - 1)*(w + 1)
Factor l**3 + 30*l**2 + 27*l - 8*l**3 + 10*l**3.
3*l*(l + 1)*(l + 9)
Let y(r) be the second derivative of r**7/1400 - r**6/600 + r**5/600 + r**4/6 - 3*r. Let k(v) be the third derivative of y(v). Find o, given that k(o) = 0.
1/3
Suppose 2 - 2 - 2*d**4 - 3*d**3 - 7*d**4 = 0. Calculate d.
-1/3, 0
Let t(j) be the second derivative of 3*j**5/20 + j**4/4 - j**3/2 - 3*j**2/2 + 3*j. Factor t(s).
3*(s - 1)*(s + 1)**2
Let p(k) = 64*k**2 + 3*k - 1. Let a be p(2). Factor -2 + a*y - 261*y + 2*y**2.
2*(y - 1)*(y + 1)
Solve -2/9*j**2 + 0 + 4/9*j + 2/3*j**4 - 8/9*j**3 = 0 for j.
-2/3, 0, 1
Let s(c) = c**2 - 2 + 0*c + 0*c + 0*c**4 + 3*c**3 - 2*c**4. Let j(q) = -2*q**4 + 2*q**3 + 2*q**2 - 2. Let b(r) = 3*j(r) - 2*s(r). Solve b(v) = 0.
-1, 1
Let f(p) be the third derivative of -p**5/420 + p**4/168 - 6*p**2. Find s such that f(s) = 0.
0, 1
Let k(l) be the second derivative of -2*l**6/135 + l**5/30 + l**4/27 + 36*l. Let k(s) = 0. Calculate s.
-1/2, 0, 2
Let v(g) be the first derivative of -g**5/100 - g**4/60 - 2*g - 3. Let f(t) be the first derivative of v(t). Suppose f(r) = 0. Calculate r.
-1, 0
Let b(v) be the third derivative of -v**5/12 - 10*v**4/3 - 160*v**3/3 - 23*v**2. Determine y so that b(y) = 0.
-8
Let -1/3*f + 5/3*f**3 - 1/3 + 2/3*f**4 + f**2 = 0. What is f?
-1, 1/2
Suppose 2*t - 18 = -t. Let o be t*3/12*2. Factor 2*j**3 - j**4 - 2*j + 3*j**4 - o*j**2 + j**2.
2*j*(j - 1)*(j + 1)**2
Let -12/7*u - 2/7*u**2 + 2/7 - 64/7*u**5 + 76/7*u**3 + 0*u**4 = 0. What is u?
-1, -1/2, 1/4, 1
Solve 13/8*x**3 + 2 + 1/4*x**4 + 9/8*x**2 - 5*x = 0.
-4, 1/2, 1
Factor 2/11*i**5 + 4/11*i**4 + 0*i + 0*i**2 + 2/11*i**3 + 0.
2*i**3*(i + 1)**2/11
Let g(k) be the third derivative of k**11/33264 + k**10/9450 + k**9/30240 - k**8/5040 + k**5/30 - 3*k**2. Let b(q) be the third derivative of g(q). Factor b(a).
2*a**2*(a + 1)**2*(5*a - 2)
Factor -4/13*m + 2/13*m**2 + 0.
2*m*(m - 2)/13
Let i(k) = 4*k**2 - k - 1. Let l be i(-1). Let l*j**4 - 8*j - 4*j**3 - 2*j**4 + 16*j**2 - 6*j**3 = 0. What is j?
0, 1, 2
Suppose n - 14 + 24 = 3*i, -2*i = 5*n - 1. Factor -3/2*s**i + 0 - 1/2*s - 1/2*s**4 - 3/2*s**2.
-s*(s + 1)**3/2
Let x(d) = -3*d. Let t be 4/6 + 70/(-42). Let n be x(t). Determine s, given that -2/3*s**2 + 2/3*s**5 + 0 + 0*s + 2/3*s**4 - 2/3*s**n = 0.
-1, 0, 1
Let b = -12 - -6. Let d = b + 11. Suppose -3*l**4 + 7*l**4 + 2*l**3 - 13*l**5 + 15*l**d = 0. What is l?
-1, 0
Determine x so that 3/2*x**4 + 3/4*x + 0 + 0*x**2 - 9/4*x**3 = 0.
-1/2, 0, 1
Suppose -4*d + 13 = 1. Factor -r**d - 12*r + 1 - 9 - 2*r**2 - 4*r**2.
-(r + 2)**3
Let w(a) be the first derivative of 125*a**6/13 + 380*a**5/13 + 905*a**4/26 + 276*a**3/13 + 92*a**2/13 + 16*a/13 - 14. What is p in w(p) = 0?
-1, -2/5, -1/3
Let c(r) = -7*r**4 + r**3 - 5. Let i(a) = -4 - 5*a**4 - 3 - a**4 + 3. Let x(g) = 4*c(g) - 5*i(g). Suppose x(d) = 0. Calculate d.
-2, 0
Let b(m) be the first derivative of 1/24*m**4 - 2*m + 1 + 0*m**3 + 0*m**2. Let k(z) be the first derivative of b(z). Factor k(g).
g**2/2
Factor 6*j**2 + 2*j**2 + 6*j**2 + 16*j - 18*j**2 - 16.
-4*(j - 2)**2
Let t be (-4)/350*35/(-84). Let y(j) be the third derivative of 1/21*j**3 - 3*j**2 + 0 - 1/735*j**7 + 1/42*j**4 + 0*j + 0*j**5 - t*j**6. Factor y(w).
-2*(w - 1)*(w + 1)**3/7
Let z(p) be the third derivative of -7*p**6/180 + 23*p**5/90 + 11*p**4/18 - 8*p**3/9 + 25*p**2. Factor z(r).
-2*(r - 4)*(r + 1)*(7*r - 2)/3
Let c(h) be the third derivative of h**9/144 + 3*h**8/140 + 3*h**7/280 - h**6/60 - 2*h**3/3 - h**2. Let g(i) be the first derivative of c(i). Factor g(x).
3*x**2*(x + 1)**2*(7*x - 2)
Let w(h) = -5*h + 1. Let c be w(-1). Let f be 4/30*(c + -3). Factor f*u**2 + 2/5*u - 2/5 - 2/5*u**3.
-2*(u - 1)**2*(u + 1)/5
Suppose -118*a**2 - 13*a + 113*a**2 + 3*a = 0. Calculate a.
-2, 0
Let p(h) = 7*h**3 + 15*h**2 + 5*h. Let v(w) = -6*w**3 - 14*w**2 - 6*w. Let q(k) = 2*p(k) + 3*v(k). What is t in q(t) = 0?
-2, -1, 0
Let o(a) be the second derivative of -4*a - 1/60*a**6 - 1/24*a**4 + 0*a**3 - 1/20*a**5 + 0*a**2 + 0. Solve o(v) = 0 for v.
-1, 0
Let d(u) be the first derivative of -5*u**3 + 5*u**2 + 5*u + 9. Factor d(s).
-5*(s - 1)*(3*s + 1)
Factor 0 + 0*v - 9/2*v**2 + 6*v**3 - 3/2*v**4.
-3*v**2*(v - 3)*(v - 1)/2
Let j(o) be the second derivative of -2*o**6/25 - 11*o**5/100 - o**4/30 + 9*o. Suppose j(x) = 0. Calculate x.
-2/3, -1/4, 0
Let w(g) be the second derivative of g**5 - 5*g**4/12 - 18*g. Factor w(x).
5*x**2*(4*x - 1)
Let m(a) be the second derivative of 1/20*a**6 - 1/8*a**4 - 1/8*a**3 + 0 + 1/56*a**7 + 0*a**5 + 7*a + 0*a**2. Factor m(s).
3*s*(s - 1)*(s + 1)**3/4
Factor -2/13*w**2 + 0 + 2/13*w**3 + 2/13*w**4 - 2/13*w.
2*w*(w - 1)*(w + 1)**2/13
Let y = -13/35 + 17/42. Let v(n) be the third derivative of 0 - 1/120*n**6 - 2*n**2 + y*n**5 + 0*n**3 + 0*n + 0*n**4. Factor v(t).
-t**2*(t - 2)
Let a(b) be the second derivative of -b**5/20 + 6*b. Solve a(x) = 0.
0
Find q such that 0 - 1/8*q**3 + 0*q + 1/8*q**2 = 0.
0, 1
Let c = 5 + 3. Let y = c + -7. Factor 6*j - 4*j + y - 3*j**2 - 3*j**3 + 2 + j.
-3*(j - 1)*(j + 1)**2
Let p(h) = 4*h**2 - h + 2. Let x(r) = 5*r**2 + 1. Let s(v) = 6*p(v) - 5*x(v). Solve s(m) = 0 for m.
-7, 1
Suppose 5 - 1 = n. Let s(b) be the second derivative of 1/12*b**n - 1/4*b**2 + b + 3/80*b**5 - 1/24*b**3 + 0. Factor s(y).
(y + 1)**2*(3*y - 2)/4
Let v(y) = 3*y**2 - 59*y + 38. Let x be v(19). Determine f so that x*f + 2/7*f**2 + 2/7*f**5 + 0 - 2/7*f**4 - 2/7*