 z**2.
3*(z + 3)**2
Factor -13*h**2 + 9*h**3 + 4*h - 4*h**3 - 22 + 26.
(h - 2)*(h - 1)*(5*h + 2)
Let a(m) be the first derivative of 4/9*m**3 - 4/3*m + 5 - 1/6*m**4 + 1/3*m**2. Find g such that a(g) = 0.
-1, 1, 2
Let z be ((-5)/((-30)/(-4)))/((-4)/3). Solve z*d**2 + 1/2 + d = 0 for d.
-1
Let u = 3 + 23. Suppose -21*p = -u*p. Factor 0 + 0*j**4 + p*j**2 - 2/7*j + 4/7*j**3 - 2/7*j**5.
-2*j*(j - 1)**2*(j + 1)**2/7
Let z be (2 + -4*1)/(-1). Find w, given that -w + 2*w - 2*w + 0*w**3 + z*w**2 - w**3 = 0.
0, 1
Let i(x) = 30*x**3 + 22*x**2 - 8*x - 2. Let c(q) = -151*q**3 - 111*q**2 + 40*q + 11. Let v(k) = -2*c(k) - 11*i(k). Solve v(s) = 0.
-1, 0, 2/7
Let t(a) = 3*a**3 + 2*a**2 - 3*a - 2. Let k(h) = -h**2 + 1. Let b(s) = 2*k(s) + t(s). Factor b(d).
3*d*(d - 1)*(d + 1)
Let h(a) = 93*a**2 - 56*a + 8. Let j(g) = 94*g**2 - 56*g + 8. Let m(b) = 4*h(b) - 5*j(b). Factor m(q).
-2*(7*q - 2)**2
Let c(p) be the first derivative of 5*p**6/6 + 6*p**5 + 15*p**4 + 40*p**3/3 + 13. Factor c(j).
5*j**2*(j + 2)**3
Suppose -3*q - q + 2*n = -10, 0 = -q + 3*n. Let g(k) be the first derivative of 2 + k + 1/3*k**q + k**2. Find o, given that g(o) = 0.
-1
Let q = -26 + 51. Let r be (-1 - 4)*(-10)/q. Find p such that -r*p**3 - 2*p**4 + 6*p**2 - 7*p**2 + p**4 = 0.
-1, 0
Let f be (-8)/(-14) - (-6 + 42/7). Factor 2/7*q + 4/7*q**2 - f - 2/7*q**3.
-2*(q - 2)*(q - 1)*(q + 1)/7
Let v(y) be the first derivative of 0*y + 6*y**2 - 7/2*y**6 - 78/5*y**5 - 4 - 81/4*y**4 - 4*y**3. Find c such that v(c) = 0.
-2, -1, 0, 2/7
Let y(z) be the third derivative of 11*z**5/240 - 3*z**4/32 - z**3/12 - 4*z**2. Factor y(o).
(o - 1)*(11*o + 2)/4
Let m(b) = -6*b**2 - 3*b - 6. Let y(u) = -7*u**2 - 4*u - 7. Let v = 1 + -7. Let r(n) = v*m(n) + 5*y(n). What is x in r(x) = 0?
1
Solve 0 + 0*w - 2/3*w**2 + 2/3*w**3 = 0.
0, 1
Suppose -4*z - 4*w - 8 = 0, 4*w + 8 = 2*z + 3*z. Factor z*t**2 - t**4 + 0*t**3 + t**2 + 2*t**3 - 2*t**2.
-t**2*(t - 1)**2
Suppose -34*v = -30*v. Let u(j) be the second derivative of 1/4*j**4 - 3*j - j**2 + v - 1/6*j**3. Factor u(w).
(w - 1)*(3*w + 2)
Let u = -33 + 33. Let o(k) be the second derivative of -2*k + 1/9*k**6 + 1/3*k**5 + 1/63*k**7 + 1/3*k**2 + 5/9*k**3 + 5/9*k**4 + u. Solve o(m) = 0.
-1
Let q(c) be the first derivative of -c**5/70 - c**4/42 + 2*c**3/21 + 10*c - 4. Let n(l) be the first derivative of q(l). Determine g so that n(g) = 0.
-2, 0, 1
Suppose 0 = -2*u - 3*j - 6, 0 = -j - 4. Let 2 + 10*y - 3*y**u + 7*y**2 + 9*y**3 + 7*y**2 = 0. Calculate y.
-1, -1/3
Let q(j) be the third derivative of j**6/780 + j**5/195 - 7*j**4/156 + 4*j**3/39 - 15*j**2. Find z such that q(z) = 0.
-4, 1
Let r(a) = -a**3 + 4*a**2 + 17*a + 28. Let d be r(7). Factor 2/5*l**2 + 4/5*l**3 + 0*l + 2/5*l**4 + d.
2*l**2*(l + 1)**2/5
Let o be ((-10)/3)/(40/(-1020)). Let d = 257/3 - o. Solve -d*v**3 - 2/3*v**2 + 0 + 0*v = 0 for v.
-1, 0
Let a be (5 + -8)/((-6)/4). Suppose -f - 4*t = -6, 3*t - a*t + 3 = 2*f. Determine d so that 1/3*d**5 + 1/3*d + 4/3*d**2 + 0 + f*d**3 + 4/3*d**4 = 0.
-1, 0
Let k = 5 - 3. Let o(t) be the first derivative of -1/3*t**3 - 2 - 1/2*t**k + 2*t. Factor o(q).
-(q - 1)*(q + 2)
Suppose -v + 8 = 3*v. Suppose -3*i + 4*q - 10 = 0, -3*i + 3*q = v*q - 2. What is m in -m**2 + 3*m - 2*m + 2*m**i = 0?
-1, 0
Suppose -3 = 4*a - 6*a - 3*t, -2 = a + 5*t. Let f(h) be the first derivative of 1/4*h**2 - 1/12*h**a + 0*h + 3. Find j, given that f(j) = 0.
0, 2
Let z = 3/119 - -2/17. Let l(i) be the first derivative of -1 + 0*i + 2/21*i**3 - z*i**2. Find o such that l(o) = 0.
0, 1
Let f(n) be the second derivative of n**4/12 - 7*n**3/6 + 3*n**2 + 24*n. Solve f(j) = 0.
1, 6
Let y(n) = -1. Let o(m) = 5*m**3 - 2*m**2 + m + 2. Let d(u) = -6*u**3 + 3*u**2 - u - 3. Let b(r) = -4*d(r) - 5*o(r). Let f(a) = b(a) + 2*y(a). Factor f(p).
-p*(p + 1)**2
Suppose 0 = -5*o + 4*o + 2*k - 5, 31 = 5*o + 4*k. Factor 0 + 0*n + 1/7*n**o - 1/7*n**2.
n**2*(n - 1)/7
Solve 40/11*s - 42/11*s**4 + 34/11*s**2 + 8/11 - 40/11*s**3 = 0 for s.
-1, -2/3, -2/7, 1
Let z = -18 - -21. Factor 3/2*h**2 - 3/4*h**4 + 0*h**z - 3/4 + 0*h.
-3*(h - 1)**2*(h + 1)**2/4
Let f(h) = h**3 - 2*h**2 - h - 1. Let t be f(3). Suppose -t*d + 3 + 7 = 0. Factor -g - 2*g**2 + 3*g - d*g**2 - 1 + 3*g**2.
-(g - 1)**2
Let 0 + 1/4*m**3 + 1/4*m**4 - 1/4*m - 1/4*m**2 = 0. What is m?
-1, 0, 1
Let a(i) be the third derivative of -i**6/24 + i**5/4 - 5*i**4/8 + 5*i**3/6 + 28*i**2. Factor a(b).
-5*(b - 1)**3
Let o(q) = -19*q**3 - 152*q**2 + 245*q - 61. Let j(b) = 5*b**3 + 38*b**2 - 61*b + 15. Let i(c) = 26*j(c) + 6*o(c). Let i(l) = 0. What is l?
-6, 1/4, 1
Let i(l) be the third derivative of -l**7/4200 - l**6/1800 + l**5/300 - 2*l**3/3 - l**2. Let n(k) be the first derivative of i(k). Factor n(j).
-j*(j - 1)*(j + 2)/5
Factor 1/4*y**3 + 1/4 - 1/4*y**2 - 1/4*y.
(y - 1)**2*(y + 1)/4
Let z(t) be the third derivative of 1/168*t**8 + 1/105*t**7 + 3*t**2 + 1/12*t**4 - 1/30*t**6 - 1/15*t**5 + 1/3*t**3 + 0 + 0*t. Factor z(b).
2*(b - 1)**2*(b + 1)**3
Suppose 1132*p = 1143*p - 44. What is o in -4/9*o - 1/9*o**p - 1/9 - 4/9*o**3 - 2/3*o**2 = 0?
-1
Factor -1/3*t**4 + 1/3*t**2 - 1/3*t**5 + 1/3*t**3 + 0*t + 0.
-t**2*(t - 1)*(t + 1)**2/3
Suppose -14 = -3*h - 2. Let t(z) be the first derivative of -1/3*z**h + 1/3*z**2 - 1 + 1/9*z**6 + 4/9*z**3 - 2/3*z - 2/15*z**5. Factor t(w).
2*(w - 1)**3*(w + 1)**2/3
Let b(a) = a**3 + 11*a**2 - 11*a + 14. Let j be b(-12). Suppose 2*n + l + 10 = -l, 0 = -3*n + j*l + 10. Factor -1/2*f**4 + n - f**3 - 1/2*f**2 + 0*f.
-f**2*(f + 1)**2/2
Let c(d) be the third derivative of 0*d**3 - 3*d**2 + 0 + 0*d**5 + 0*d + 1/60*d**4 - 1/300*d**6. What is r in c(r) = 0?
-1, 0, 1
Let 1/10*m**3 - 1/10*m**2 + 0*m + 0 = 0. Calculate m.
0, 1
Let z(o) = -5*o - 15. Let q be z(-3). Factor 2/5*s**3 + 0*s**4 + q + 0*s**2 - 1/5*s**5 - 1/5*s.
-s*(s - 1)**2*(s + 1)**2/5
Let n(o) be the first derivative of -o**6/9 - 4*o**5/15 + 1. Factor n(l).
-2*l**4*(l + 2)/3
Let o(v) be the first derivative of -2/9*v**3 - 6*v - 1 + 2*v**2. Factor o(s).
-2*(s - 3)**2/3
Let a be (2/35)/((12/21)/4). Solve 2/5*f**4 + 0*f**2 - 4/5*f**3 - a + 4/5*f = 0 for f.
-1, 1
Let v(p) be the second derivative of p**7/14 - 3*p**6/10 + 3*p**5/20 + 3*p**4/4 - p**3 + 29*p. Solve v(o) = 0.
-1, 0, 1, 2
Suppose -107*l = -97*l. Let -3/2*n**3 - 3/2*n**4 + l*n + 0 + 0*n**2 = 0. Calculate n.
-1, 0
Let q = -5/2 + 3. Factor 0*s + q - 1/2*s**2.
-(s - 1)*(s + 1)/2
Factor -8/5 + 2/5*d**2 + 0*d.
2*(d - 2)*(d + 2)/5
Let p = 26/15 + -2/5. Suppose 2*r - r + 9 = 4*u, -4*u = 5*r - 27. Factor -p*d**2 + 2/3*d**u + 0 + 2/3*d.
2*d*(d - 1)**2/3
Find w such that 3*w**4 - 81 - 25*w**3 + 3*w**3 + 31*w**2 - 2*w**3 + 23*w**2 = 0.
-1, 3
Determine f, given that -13 + 5 + 2*f - 4*f**3 + 10*f = 0.
-2, 1
Let a(y) = y**3 - 15*y**2 - 16*y. Let w be a(16). Let c(t) be the first derivative of 1/10*t**4 - 1/5*t**2 + 0*t - 2 + w*t**3. Solve c(i) = 0.
-1, 0, 1
Let a be (28/(-12))/(2/6). Let b(r) = 6*r**2 - 6*r + 7. Let p(j) = -4*j**2 + 3*j + 3*j - 2*j - 5. Let w(c) = a*p(c) - 5*b(c). Suppose w(i) = 0. Calculate i.
0, 1
Suppose c - 3*x - 4 = 0, -3*x = 3*c - 8*c + 8. Factor c + 45*y - 12 + 3*y**3 - 21*y**2 - 16.
3*(y - 3)**2*(y - 1)
Factor 8/9*u + 0 - 2/9*u**2.
-2*u*(u - 4)/9
Let k be (2/(-372))/(6/24). Let g = 56/279 - k. Factor g*a**3 - 2/9*a + 0 + 0*a**2.
2*a*(a - 1)*(a + 1)/9
Factor 0 + 0*a**2 - 3/7*a**4 + 0*a + 3/7*a**3.
-3*a**3*(a - 1)/7
Let v(m) = -3*m**3 - m**2. Let a be v(-1). Let t be 0 - (8/18)/(-2). Let 4/9 + t*w - 2/9*w**a = 0. Calculate w.
-1, 2
Let n(x) be the first derivative of -x**4/14 - 8*x**3/7 - 36*x**2/7 - 17. Factor n(z).
-2*z*(z + 6)**2/7
Determine n so that 1/2*n**4 + 0 + 0*n + 0*n**2 + 1/2*n**3 = 0.
-1, 0
Let z(q) be the second derivative of q**7/21 + 4*q**6/25 + 9*q**5/50 + q**4/15 - 5*q. Factor z(t).
2*t**2*(t + 1)**2*(5*t + 2)/5
Suppose -3*t**3 + 5*t**3 + 2*t**2 - 2 + 3*t - 5*t = 0. What is t?
-1, 1
Let j(b) be the second derivative of 0*b**2 + 1/120*b**6 + 1/24*b**3 + 0 - b - 1/80*b**5 - 1/48*b**4. What is q in j(q) = 0?
-1, 0, 1
Let p(n) = -n**2 - 7*n - 7. Let b be p(-5). Factor 1 + 1 + i**4 + 4*i**3 - 4*i - b*i**4.
-2*(i - 1)**3*(i + 1)
Let c = 904/11 + -82. Determine w, given that c*w - 6/11*w**3 - 4/11*w**2 + 0 = 0.
-1, 0, 1/3
Determine f, given that 0*f - 1/3*f**3 + 0 + 0*f**2 + 1/3*f**4 = 0.
0, 1
Let l(q) be the first derivative of 2