 What is v?
1, 2
Suppose -3*o = -x - 6, -5*x - 2*o = o - 24. Let y be ((-12)/15)/(6/(-15)). Solve x*r + r + 1 - 2*r + r + r**3 + 3*r**y = 0 for r.
-1
Let n(y) be the second derivative of 1/30*y**6 + 0 + 1/10*y**5 + 6*y + 0*y**2 - 1/3*y**3 - 1/12*y**4. Find b such that n(b) = 0.
-2, -1, 0, 1
Let a(r) be the first derivative of -4 + 1/72*r**4 + 0*r + 1/2*r**2 + 0*r**3 + 1/180*r**5. Let q(z) be the second derivative of a(z). Factor q(b).
b*(b + 1)/3
Let a(c) = -3*c**3 - 9*c**2 + 6. Let d(n) = 6*n**3 + 18*n**2 + n - 11. Let w(m) = -11*a(m) - 6*d(m). What is u in w(u) = 0?
-2, -1, 0
Let c(f) = f**2 - 2*f - 3. Let b(r) = -6 - 6*r + 0 + 4*r**2 - 4. Let t(n) = 3*b(n) - 10*c(n). Factor t(y).
2*y*(y + 1)
Let w(k) be the third derivative of 0*k - 8*k**2 + 0*k**3 + 0 + 1/15*k**6 - 2/15*k**5 + 0*k**4 - 1/105*k**7. Let w(n) = 0. Calculate n.
0, 2
Let r be (1 + -1 + -2)*-1. Let j be -1 + ((-4)/7)/((-6)/21). Suppose j - 5 + 5 + d**r + 2*d = 0. Calculate d.
-1
Let y(w) = -7*w**2 + 22*w - 4. Let f(n) = n. Let s(j) = 6*f(j) - y(j). Factor s(i).
(i - 2)*(7*i - 2)
Let y(i) = i**2 - 22*i + 72. Let x be y(18). Suppose -2*g**2 - 4/9*g + x = 0. Calculate g.
-2/9, 0
Let v(b) be the first derivative of -1 - b + 5/6*b**4 + 1/5*b**5 - 1/3*b**6 - 2/3*b**3 + 0*b**2. Let u(p) be the first derivative of v(p). Factor u(f).
-2*f*(f - 1)*(f + 1)*(5*f - 2)
Let t = -265/4 + 1681/20. Let q = 18 - t. Find w, given that 2/5*w**2 + 0*w - 1/5 - q*w**4 + 0*w**3 = 0.
-1, 1
Let x(c) be the first derivative of c**4/4 + c**3/3 - 4. Let x(t) = 0. What is t?
-1, 0
Let y(z) = 2*z. Let f be y(0). Factor 0*h**3 + f + 2/13*h**2 + 0*h - 2/13*h**4.
-2*h**2*(h - 1)*(h + 1)/13
Let h(b) = -b**2 + 2. Let t be h(0). Let z = -3 - -5. Let -t*d**z + 0*d**2 + 4*d**2 = 0. Calculate d.
0
Solve 3/2*q**4 + 0 - 3/2*q**2 - 3/4*q + 3/4*q**3 = 0 for q.
-1, -1/2, 0, 1
Let n be (-2 - (-2 - (-5)/30))*-3. Factor 1 + 1/2*d - n*d**2.
-(d - 2)*(d + 1)/2
Let g(s) be the first derivative of -s**6/540 + s**4/108 + s**2 - 2. Let i(d) be the second derivative of g(d). Factor i(c).
-2*c*(c - 1)*(c + 1)/9
Let 0*n**3 + 0*n + 1/8 - 1/4*n**2 + 1/8*n**4 = 0. Calculate n.
-1, 1
Suppose 0 = 2*y + 2*y - 5*y. Let o(s) be the second derivative of 1/30*s**4 + 0*s**2 + 0 + y*s**3 - 4*s + 0*s**5 - 1/75*s**6. Determine a so that o(a) = 0.
-1, 0, 1
Suppose 6 = -3*p + 6*p. Let a(t) be the first derivative of 1/2*t**2 + 0*t - t**4 + t**3 + p. Determine f, given that a(f) = 0.
-1/4, 0, 1
Suppose 5*y + 5 = 15. Suppose w + 2 = y*t - t, 1 = -3*w + 2*t. Find a, given that -8/3*a**w + 2/3 - 16*a**4 + 17/3*a + 37/3*a**2 = 0.
-2/3, -1/4, 1
Factor 15/7*p**2 - 6/7*p - 3.
3*(p + 1)*(5*p - 7)/7
Let p(i) = -i + 14. Let d be p(10). Let q(u) be the second derivative of 1/20*u**5 + 0*u**2 + 0 + 0*u**3 + 3*u + 1/12*u**d. Factor q(y).
y**2*(y + 1)
Suppose -4*c + 24 = -c + 4*n, 5*n + 15 = 0. Suppose b + c = 5*b. Find g such that -g - 5*g + 4*g - 6*g**2 - 4*g**b = 0.
-1, -1/2, 0
Let c be -1 + -1 - (-3 + 1). Suppose -24 = -4*l + 4*t, -3 = -4*l - c*l - 3*t. Let -h**l + 5*h**3 - h - 3*h**3 = 0. What is h?
-1, 0, 1
Let n(u) be the first derivative of -u**5/5 - 3*u**4/20 + 7*u**3/15 + 3*u**2/10 - 2*u/5 + 13. Solve n(a) = 0.
-1, 2/5, 1
Suppose -44/9*f + 8/9 + 20/9*f**2 = 0. What is f?
1/5, 2
Let y(f) = 6*f**4 - 2*f**3 - 2*f**2 - 4*f. Let n(t) = -t**5 + 7*t**4 - 3*t**3 - t**2 - 5*t. Let h(z) = 2*n(z) - 3*y(z). Let h(i) = 0. Calculate i.
-1, 0, 1
Let d(i) = -15*i**3 + 15*i + 21. Let o(n) be the first derivative of -3*n**4/4 + 3*n**2/2 + 4*n - 7. Let s(c) = -4*d(c) + 21*o(c). Factor s(r).
-3*r*(r - 1)*(r + 1)
Let k(w) = w**3 + 10*w**2 + 13*w - 24. Let z be k(-8). Factor z*v - 6/5*v**2 + 2/5*v**3 + 8/5.
2*(v - 2)**2*(v + 1)/5
Let h be (1/2*-2)/(-4). Let m = -248 + 250. Solve -3/4*p - h*p**m - 1/2 = 0 for p.
-2, -1
Let z(h) be the second derivative of 3*h**6/20 + 3*h**5/8 + h**4/8 - h**3/4 + 37*h. Solve z(d) = 0.
-1, 0, 1/3
Let n(b) = -b**2 - 5*b - 3. Let j be n(-4). Let p(r) = -r**2 + 6*r - 4 - 3*r**2 - r**2. Let l(w) = w**2. Let i(t) = j*p(t) + 3*l(t). Factor i(o).
-2*(o - 2)*(o - 1)
Let i = -21 + 25. Let t(g) be the second derivative of 0*g**3 - 2/45*g**5 + 0*g**2 - g + 0 - 1/54*g**i. Factor t(q).
-2*q**2*(4*q + 1)/9
Suppose 0 = -3*w + 4*w - 1. Factor g**2 + 5*g**2 - 3*g - 5*g**2 + w + g.
(g - 1)**2
Let f(b) = -3*b**5 + 2*b**4 + 3*b**3 + 2*b + 2. Let y(v) = v**5 - v**4 - v**2 - v - 1. Let a(p) = f(p) + 2*y(p). Find j such that a(j) = 0.
-2, 0, 1
Solve -4/3*d - d**3 + 13/6*d**2 + 1/6 = 0.
1/6, 1
Suppose -5*l + 3 + 7 = 0. Suppose -l*o = 5*a - 17, 2*o - 2*a + a + 1 = 0. What is x in x**2 - 1 - 1 + o = 0?
-1, 1
Let g(m) = 40*m**3 + 28*m**2 - 24*m - 6. Let l(h) = -79*h**3 - 57*h**2 + 48*h + 11. Let y(i) = -5*g(i) - 2*l(i). Let y(w) = 0. What is w?
-1, -2/7, 2/3
Let i = 4 + -1. Suppose -u = -i*u. Factor 1/2*a**2 + 0*a - 9/4*a**3 + u.
-a**2*(9*a - 2)/4
Suppose 3*h + 22 = 22. Factor h*w + 0 + 0*w**2 - 2/7*w**3.
-2*w**3/7
Suppose 12 = 20*k - 16*k. Let h(a) be the first derivative of 1/2*a + 1/10*a**5 - 1/2*a**4 + a**k - a**2 - 3. Let h(t) = 0. Calculate t.
1
Let j(k) be the second derivative of -k**6/1260 - k**5/420 + k**4/42 - k**3/3 - 2*k. Let x(i) be the second derivative of j(i). Factor x(w).
-2*(w - 1)*(w + 2)/7
Let r(u) be the second derivative of u**3 + 0 + 0*u**2 + 3*u + 1/6*u**4. Find s, given that r(s) = 0.
-3, 0
Suppose -2*c + 21 = 9. Let s(m) be the second derivative of 1/60*m**c + 0 + 0*m**5 + 0*m**3 + 1/4*m**2 - 1/12*m**4 + m. Suppose s(r) = 0. What is r?
-1, 1
Let a be (3 - (4 + -2)) + (3 - 1). Factor -8/3*s - 4*s**2 - 2/3*s**4 - 2/3 - 8/3*s**a.
-2*(s + 1)**4/3
Let o(c) be the first derivative of 11/7*c**3 - 3/7*c**2 - 27/28*c**4 - 4 + 0*c. What is g in o(g) = 0?
0, 2/9, 1
Let j = -22 + 16. Let q be 8/j*1/(-2). Factor 2/3*g + 2/3*g**2 + 0 - 2/3*g**4 - q*g**3.
-2*g*(g - 1)*(g + 1)**2/3
Let l(p) be the third derivative of -p**6/600 + p**4/40 - p**3/15 - 30*p**2. Determine h, given that l(h) = 0.
-2, 1
Suppose 0 = 5*j + k - 17, 2*j = 32*k - 34*k + 2. What is v in 3/4*v**2 + 0*v - 3/4*v**j + 0 + 0*v**3 = 0?
-1, 0, 1
Let v(m) be the second derivative of 7*m**5/180 + m**4/6 - 2*m**3/9 - 2*m**2 - 6*m. Let w(d) be the first derivative of v(d). Factor w(p).
(p + 2)*(7*p - 2)/3
Suppose -2*a + f - 1 = 0, 1 + 2 = 4*a + 3*f. Let h(q) be the second derivative of -1/3*q**3 + 0*q**2 + 1/3*q**4 + q - 1/10*q**5 + a. Factor h(y).
-2*y*(y - 1)**2
Let o(b) be the second derivative of -3*b**5/110 + 4*b**4/33 - b**3/11 - 2*b**2/11 - 6*b. Suppose o(j) = 0. What is j?
-1/3, 1, 2
Let m = 1259/3 + -419. Find z such that 0*z**3 + 0*z - 2/3 - m*z**4 + 4/3*z**2 = 0.
-1, 1
Suppose f + 6 - 13 = i, -4*i - 4*f - 4 = 0. Let d be 12/75*(-10)/i. Factor 0 - d*a**2 + 2/5*a.
-2*a*(a - 1)/5
Let o(p) be the second derivative of -p**6/180 + p**5/40 + p**4/36 - p**3/3 + 2*p**2/3 + 11*p. Determine d so that o(d) = 0.
-2, 1, 2
Determine j, given that 2/5 - 1/2*j**2 + 21/10*j**3 + j**4 - 6/5*j = 0.
-2, -1, 2/5, 1/2
Let q(k) be the second derivative of -289*k**6/10 + 153*k**5/2 - 157*k**4/4 - 30*k**3 - 6*k**2 - 13*k. Find u such that q(u) = 0.
-2/17, 1
Suppose 1/4*t**4 + 0 + 5/4*t**3 + 0*t - 5/4*t**5 - 1/4*t**2 = 0. Calculate t.
-1, 0, 1/5, 1
Let h = 6 + -1. Let r(f) = 6*f**2 - 2*f + 2. Let g(z) = z**4 + z**3 + 13*z**2 - 5*z + 5. Let l(i) = h*r(i) - 2*g(i). Factor l(b).
-2*b**2*(b - 1)*(b + 2)
Let c = 7234/15 - 482. Factor 2/15*h**2 + c - 2/5*h.
2*(h - 2)*(h - 1)/15
Factor 9/8*a - 3/2 + 3/8*a**2.
3*(a - 1)*(a + 4)/8
Let s(n) be the first derivative of n**7/105 - n**6/60 - n**5/30 + n**4/12 - 3*n**2 + 4. Let l(b) be the second derivative of s(b). Find j such that l(j) = 0.
-1, 0, 1
Let s(u) = 5*u**2 - 8*u + 2. Let a(q) = 10*q**2 - 16*q + 3. Let j(l) = 6*a(l) - 11*s(l). Let j(k) = 0. Calculate k.
-2/5, 2
What is j in 2/5*j**4 + 0 + 6/5*j**3 + 6/5*j**2 + 2/5*j = 0?
-1, 0
What is z in 1/7 - 1/7*z**3 + 3/7*z**2 - 3/7*z = 0?
1
Let b(z) be the third derivative of -z**9/60480 + z**8/20160 + z**5/30 + 4*z**2. Let r(i) be the third derivative of b(i). Determine j so that r(j) = 0.
0, 1
Suppose -5*u - 5*d = 5, u - 23 = -u + 3*d. Suppose -u*f + 5*v = 17, 16 = 2*f + f + 2*v. Factor -b**2 + b**5 + b**2 - b - 2*b**3 + f*b.
b*(b - 1)**2*(b + 1)**2
Let f be 1/(-4) + (-294)/(-24). Suppose -10*d = -f*d. Suppose -2/5*l**3 + 0*l