*z - 2*z**2 - 22.
-2*(z + 5)**2
Factor 5*q**3 - q**3 - 7*q**3 + q**3.
-2*q**3
Let d(u) be the second derivative of -u**6/120 - 3*u**5/40 - 5*u**4/48 + 34*u. Factor d(x).
-x**2*(x + 1)*(x + 5)/4
Let i be 117/(-15) - (0 + -8). Let i*l**2 - 2/5*l - 3/5 = 0. What is l?
-1, 3
Let w be (-12)/18 + 6/9. Let l(c) be the third derivative of w - 1/60*c**6 + 0*c**3 + 1/60*c**5 - c**2 + 0*c + 1/210*c**7 + 0*c**4. Find f such that l(f) = 0.
0, 1
Let h(r) be the third derivative of r**8/2520 + r**7/1260 - r**6/270 + 2*r**3/3 - 4*r**2. Let d(g) be the first derivative of h(g). Factor d(w).
2*w**2*(w - 1)*(w + 2)/3
Let g be 0 + (2 + -1)*3. Let j = -104 + 107. Factor g*h**3 - j - 1 - 4*h - 2*h - h**3.
2*(h - 2)*(h + 1)**2
Suppose -1 = j - 0, -5*j = 5*d - 5. Let q(t) be the second derivative of -d*t + 0 - 1/18*t**4 + 1/6*t**2 - 1/18*t**3. Determine k so that q(k) = 0.
-1, 1/2
Let k(u) = -5*u**2 + 6*u. Let r(q) = 11*q**2 - 12*q. Let s = -9 - -11. Let p(o) = s*r(o) + 5*k(o). Solve p(y) = 0.
0, 2
Factor -9/5*a + 6/5*a**3 + 6/5*a**2 + 3/5*a**5 - 9/5*a**4 + 3/5.
3*(a - 1)**4*(a + 1)/5
Let q be (-24 - -1)/((-5)/(-25)). Let n be 2/(-7) - q/35. Factor 2/7*g**5 + 0*g + 16/7*g**n - 10/7*g**4 + 0 - 8/7*g**2.
2*g**2*(g - 2)**2*(g - 1)/7
Let m be 1 + 0 + 1 - 0. Factor 0*a**2 + 4*a**m - 2*a**2.
2*a**2
Let t = 12 + -10. Let s(m) be the second derivative of 0*m**2 + 0 - 1/20*m**5 + 1/90*m**6 + 1/12*m**4 - 1/18*m**3 - t*m. Determine i so that s(i) = 0.
0, 1
Suppose 3*m + 0*m - 36 = 0. Factor -1 + 6*l - 2*l**3 + m*l**3 - 6*l**2 - 6*l**2 - 3*l**4.
-(l - 1)**3*(3*l - 1)
Let r(n) be the second derivative of 3*n**5/20 + n**4/4 - n**3 - 14*n. Factor r(t).
3*t*(t - 1)*(t + 2)
Suppose 3 = -c + 5*h - 4*h, 0 = 5*c + h - 15. Let n(b) be the third derivative of 0*b**5 - 1/108*b**4 - 3*b**c + 0 + 0*b + 0*b**3 + 1/540*b**6. Factor n(l).
2*l*(l - 1)*(l + 1)/9
Let o(z) be the third derivative of -z**5/60 + z**3/6 + z**2. Suppose o(a) = 0. Calculate a.
-1, 1
Let n(m) = -m**2 + 3*m + 1. Let b be 33/6 - 2/4. Suppose b*z + 16 = -19. Let k(o) = -2*o**2 + 6*o + 3. Let f(j) = z*n(j) + 3*k(j). Let f(g) = 0. What is g?
1, 2
Solve 6/5 - 17/5*c + 11/5*c**2 = 0.
6/11, 1
Let p(x) = x**2 - 1. Let t be p(1). Suppose t = 4*d + 20, -3*m + m - 21 = 5*d. Find k such that k**3 + 4 + 9*k**3 + m*k - 6*k**2 - 10*k**2 = 0.
-2/5, 1
Let t(y) be the first derivative of -y**6/90 + y**4/18 - y**2/6 + 3*y - 2. Let u(r) be the first derivative of t(r). Factor u(j).
-(j - 1)**2*(j + 1)**2/3
Suppose 4*u + 25 = -u. Let p(o) = 9*o**3 + 2*o**2. Let d(c) = -6*c**3 - c**2. Let y(z) = u*p(z) - 7*d(z). What is h in y(h) = 0?
-1, 0
Let f(c) be the first derivative of 0*c**2 + 1/12*c**4 + 0*c**3 + 1/15*c**5 - 1 + 0*c. Solve f(j) = 0.
-1, 0
Factor 4/7*z**4 + 0*z + 0 - 2/7*z**5 - 2/7*z**3 + 0*z**2.
-2*z**3*(z - 1)**2/7
Let n(r) be the second derivative of r**5/35 + r**4/7 - 4*r**3/7 - 16*r**2/7 + 21*r. Factor n(j).
4*(j - 2)*(j + 1)*(j + 4)/7
Let q be 3/(0 - 3/4). Let k = -1 - q. Factor -t**5 + 2*t**2 - t**5 - 4*t**3 + 6*t**k - 2*t**4.
-2*t**2*(t - 1)*(t + 1)**2
Factor 8*d - 2*d**3 + 8 + 0 + 174*d**2 - 176*d**2.
-2*(d - 2)*(d + 1)*(d + 2)
Let y(l) = -3*l**2 + 21*l + 3. Let v be y(7). Factor v*t + 6*t**3 - 3/2*t**4 - 15/2*t**2 + 0.
-3*t*(t - 2)*(t - 1)**2/2
Let p(g) = g**3 - 10*g**2 - g + 14. Let y be p(10). Let u be y/(-10) + 72/105. Factor -4/7*d**3 + 2/7*d + 0 + u*d**2.
-2*d*(d - 1)*(2*d + 1)/7
Suppose 2 + 4 = -3*c. Let h(k) = -3*k - 1. Let r be h(c). Solve -r*l**2 + 3*l**2 - 4*l + 0*l**2 = 0 for l.
-2, 0
Suppose v = -4*s - 19 + 1, 2*v + 3*s = -11. Determine w, given that 9 - 12 + 2*w**4 - v*w**3 + 3 - 4*w**2 = 0.
-1, 0, 2
Let w(k) be the first derivative of 8*k**5/5 + 43*k**4/10 + 16*k**3/5 - k**2/5 - 4*k/5 + 7. Determine d so that w(d) = 0.
-1, -2/5, 1/4
Let j(s) be the first derivative of -s**7/840 + s**6/180 - s**5/120 - s**3 + 2. Let y(g) be the third derivative of j(g). Factor y(r).
-r*(r - 1)**2
Suppose -17*b - 3*b = 0. Factor -3/4*s**3 + b*s + 3/2*s**2 + 0.
-3*s**2*(s - 2)/4
Let o(v) be the third derivative of 0 + 0*v**6 + 0*v + 0*v**3 - 1/735*v**7 + 0*v**5 + 4*v**2 + 0*v**4. Suppose o(j) = 0. Calculate j.
0
Suppose 9/7*m + 30/7 - 3/7*m**2 = 0. Calculate m.
-2, 5
Let q = 5 + -4. Let l be 0 - q - (-12)/3. Determine r, given that 2*r**4 + 0*r**2 - 8/5*r**5 + 0*r + 0 - 2/5*r**l = 0.
0, 1/4, 1
Let z(k) be the first derivative of -k**5/30 + k**4/6 - 7*k**2/2 - 7. Let m(p) be the second derivative of z(p). What is t in m(t) = 0?
0, 2
Factor 0*z**2 + 3*z**2 + 16*z - 7*z**2.
-4*z*(z - 4)
Let u = -7/30 + 26/15. Solve 1/2 + u*x**2 - 1/2*x**3 - 3/2*x = 0 for x.
1
Let w be ((-2)/4)/(3/(-12)). Let u = w + 0. What is a in 1/3*a**u + 1/3*a - 1/3*a**4 + 0 - 1/3*a**3 = 0?
-1, 0, 1
Let d(x) be the first derivative of -x**7/2520 + x**6/360 - x**4/18 - 2*x**3/3 + 4. Let q(o) be the third derivative of d(o). Suppose q(v) = 0. Calculate v.
-1, 2
Let 2*j - 6*j - 7*j**3 + 6*j**2 + 5*j**3 = 0. What is j?
0, 1, 2
Let v be (-21)/28*16/(-18). Solve 0 + 1/3*d + 1/3*d**3 + v*d**2 = 0 for d.
-1, 0
Let j(u) be the first derivative of -u**6/120 - u**5/30 + u**4/8 - u**2/2 - 6. Let m(p) be the second derivative of j(p). Factor m(n).
-n*(n - 1)*(n + 3)
Find m such that 12 + 20*m**3 - 30*m**2 - 22 - 35*m + 15*m**5 + 0 + 40*m**4 = 0.
-1, -2/3, 1
Let r(n) = -n**2 - 11*n - 10. Suppose -v + 4*w = 6, 48 = v - 6*v + 2*w. Let d be r(v). Factor 0*t**2 + d*t + 0 + 0*t**3 - 1/4*t**4.
-t**4/4
Let c(z) be the third derivative of z**6/300 + z**5/75 + z**4/60 + 2*z**2. Find g such that c(g) = 0.
-1, 0
Suppose 2*q - 16 = -6. Determine c, given that -5*c**4 - 12*c**2 + 8*c**3 + 2*c + c + q*c - 2 + 3*c**4 = 0.
1
Let w = 68 + -407/6. Let d(h) be the second derivative of 0*h**2 + h - w*h**3 + 1/30*h**6 + 0 - 1/12*h**4 + 1/20*h**5. Determine u, given that d(u) = 0.
-1, 0, 1
Let d(u) = u**3 - 25*u**2 - 3*u + 77. Let t be d(25). What is k in -3/2*k**t + 0*k**3 + 0 + 9/2*k**4 + 0*k + 3*k**5 = 0?
-1, 0, 1/2
Let f(l) = 17*l**2 - 7*l + 8. Let c(x) be the third derivative of x**5/15 - x**4/12 + x**3/3 + 2*x**2. Let k(v) = -9*c(v) + 2*f(v). Factor k(o).
-2*(o - 1)**2
Let v(u) be the second derivative of u**4/36 + u**3/9 + u**2/6 - 5*u. Let v(q) = 0. Calculate q.
-1
Factor 4*w**4 + 52*w**2 + 16 - 21*w - 27*w - 12*w**3 + 7*w**3 - 19*w**3.
4*(w - 2)**2*(w - 1)**2
Let b be 2*(-3 + 1) + 2. Let y be 2 + -3 + (b - -6). Let -1/2*i**4 + 1/2*i + 1/2*i**2 + 0 - 1/2*i**y = 0. Calculate i.
-1, 0, 1
Let j(r) be the first derivative of -2/5*r**2 + 2/15*r**3 + 2 + 0*r. Factor j(z).
2*z*(z - 2)/5
Solve 0*b + 34*b**2 - 4*b - 30*b**2 = 0.
0, 1
Let o(l) be the first derivative of -l**7/105 - l**6/30 + l**5/30 + l**4/6 - l**2/2 + 3. Let p(m) be the second derivative of o(m). Solve p(w) = 0.
-2, -1, 0, 1
Let h(a) be the second derivative of 0 + 0*a**2 - 1/36*a**4 - 1/9*a**3 + 2*a. What is f in h(f) = 0?
-2, 0
Let f = -537/187 - -55/17. Solve 0 + 2/11*y**2 + f*y = 0.
-2, 0
Suppose -i - 4 + 3 = 0. Let t be (i/10)/((-3)/12). Factor t - 4/5*u - 6/5*u**2.
-2*(u + 1)*(3*u - 1)/5
Let i(m) = 23*m**5 + 87*m**4 + 14*m**3 - 104*m**2 - 20*m + 4. Let w(k) = k**5 + k**3 - k**2 - k - 1. Let f(s) = i(s) + 4*w(s). Suppose f(x) = 0. Calculate x.
-2, -2/9, 0, 1
Let k(u) be the first derivative of 0*u**4 + 0*u + 1/12*u**3 - 1/2*u**2 - 1/120*u**5 - 4. Let g(n) be the second derivative of k(n). Factor g(l).
-(l - 1)*(l + 1)/2
Let j = 3 - 1. Let w be (18/15)/(6/20). Solve 0*y - 49/2*y**5 - j*y**3 + 14*y**w + 0*y**2 + 0 = 0.
0, 2/7
Let m(u) be the second derivative of u**7/5040 + u**6/720 + u**5/240 - u**4/2 - 5*u. Let o(t) be the third derivative of m(t). Find v, given that o(v) = 0.
-1
Let m be 0/2 - ((-220)/35 + 6). Solve m + 0*q - 2/7*q**2 = 0.
-1, 1
Suppose -3*m = 49 - 58. Find b, given that -1/3*b**m - 1/3 + 1/3*b**2 + 1/3*b = 0.
-1, 1
What is s in 10 - 33*s**2 + 5*s**5 - 2*s + 10*s - 20*s**3 + 7*s + 23*s**2 = 0?
-1, 1, 2
Suppose -3*v + 12 = v. Solve -12*g - 2*g**2 - 5*g**2 + v*g**2 = 0.
-3, 0
Factor -36/7*r - 2/7*r**2 - 162/7.
-2*(r + 9)**2/7
Let l(x) = -7*x**2 + 5*x. Let s(z) = z**2 - z + 1. Let p(w) = -l(w) - 6*s(w). Find k, given that p(k) = 0.
-3, 2
Let d be (-171)/10 + 2/4. Let p = d + 17. Factor -2/5*t**4 - 2/5*t**5 + 0 + p*t**3 + 2/5*t**2 + 0*t.
-2*t**2*(t - 1)*(t + 1)**2/5
Let r be (-5 + 3/1)*2. Let k be (2/(-6)*r)/