h + 1)**2
Suppose 0 = -0*r + r - 6. Factor 2*w + 2 - 3*w**2 + w**2 + 4*w**3 - r*w**3.
-2*(w - 1)*(w + 1)**2
Let r be (-4)/(-30)*(-6)/(-1). Suppose -h = 3*h. Find o such that 0*o**4 - 2/5*o + 0*o**2 + r*o**3 + h - 2/5*o**5 = 0.
-1, 0, 1
Let h = -1/130 - -157/130. Factor h*u + 3/5 + 3/5*u**2.
3*(u + 1)**2/5
Let k be (8/6)/(16/24). Let u(o) be the first derivative of 0*o + 2/15*o**3 + k + 0*o**2. Factor u(p).
2*p**2/5
Suppose -3*r + 8 = -10. Let l be r/15 - (-6)/10. Factor -24*s - 50*s**4 + 1 - l - 21*s**3 + 22*s**2 + 81*s**3 - 8.
-2*(s - 1)**2*(5*s + 2)**2
Determine q, given that 346*q**3 + 5*q**4 - 40 - 20*q - 16*q**4 + 116*q**4 + 79*q**3 + 430*q**2 = 0.
-2, -1/3, 2/7
Let q(s) be the first derivative of -s**7/2520 - s**6/360 - s**5/120 - s**4/72 + s**3 + 3. Let z(l) be the third derivative of q(l). Solve z(k) = 0 for k.
-1
Let n be 2/(56/38) + (-2)/(-14). Find u such that 3/2*u**2 - 3*u + n = 0.
1
Factor 12 - 19*n + n**2 - 9*n - 9*n + 24*n.
(n - 12)*(n - 1)
Suppose 87 + 73 = 4*x. Factor 8 + 20*m - x*m**3 - 10*m**4 - 6*m**4 - 27*m**4 + 3*m**4 - 12*m**5.
-4*(m + 1)**4*(3*m - 2)
Let n(u) = u**3 + 4*u**2 + 4. Let q be n(3). Let x be q/14 + 18/(-63). What is y in -3 - x*y + 15/2*y**2 = 0?
-2/5, 1
Let y = -7 + 19. Let d be -2*(y/20)/(-3). Factor 1/5 - 2/5*z - 1/5*z**4 + d*z**3 + 0*z**2.
-(z - 1)**3*(z + 1)/5
Suppose -2*h = -4*h - 28. Let x(w) = 12*w**4 - 24*w**3 + 21*w**2 - 4*w - 5. Let f(b) = -b**4 + b**3 - b + 1. Let d(l) = h*f(l) - 2*x(l). What is m in d(m) = 0?
2/5, 1
Let w(x) be the second derivative of x**6/30 - x**5/20 - x**4/12 + x**3/6 - 4*x. Factor w(q).
q*(q - 1)**2*(q + 1)
Find i such that -448*i + 52*i**2 - 147*i**4 + 128 - 35*i**3 + 27*i**4 + 396*i**2 + 36*i**5 + 3*i**3 = 0.
-2, 2/3, 2
Let q be 6/39 + 152/26. Suppose -q*z = -z. Determine i, given that -22/5*i**2 - 4/5*i - 2*i**5 + z - 42/5*i**3 - 34/5*i**4 = 0.
-1, -2/5, 0
Suppose 18*t + 33/2*t**2 - 75/2*t**4 - 6 - 45*t**3 = 0. Calculate t.
-1, 2/5
Let v(h) be the second derivative of h**7/735 + h**6/420 - h**5/210 - h**4/84 + 2*h**2 + 2*h. Let r(u) be the first derivative of v(u). Factor r(k).
2*k*(k - 1)*(k + 1)**2/7
Let s = -11 + 16. Let o = -2 - -6. Factor -1/2*u**2 + 1/2*u**o + 1/2*u**s + 0 - 1/2*u**3 + 0*u.
u**2*(u - 1)*(u + 1)**2/2
Factor -4/7*c + 0 + 6/7*c**3 + 2/7*c**2.
2*c*(c + 1)*(3*c - 2)/7
Let y be (-12)/(-36) - 22/(-6). Let c(o) be the second derivative of 0 + 0*o**3 - 1/8*o**2 + 1/48*o**y - 2*o. Factor c(q).
(q - 1)*(q + 1)/4
Let w(h) = 5*h**2 - 17*h - 3. Let c(b) = -6*b**2 + 17*b + 3. Let o(y) = -6*c(y) - 7*w(y). Let a be o(-17). Factor -3/2*l**2 - 6*l**4 + 6*l**a + 0*l + 0.
-3*l**2*(2*l - 1)**2/2
Suppose 66*o**3 - 10*o - 22*o**2 + 4*o**4 + 2*o**5 + 2*o - 72*o**3 + 6*o**2 = 0. What is o?
-2, -1, 0, 2
Let i = 31 - 26. Suppose 0 = 4*x + 3 + i, a - 8 = 2*x. Factor -2/7*b**2 + 2/7*b**a + 0 - 2/7*b**3 + 2/7*b.
2*b*(b - 1)**2*(b + 1)/7
Let c(x) = x**3 - 3*x**2 - 6 - 2*x - 4 + 10*x**2. Let m be c(-7). Factor 0*u**2 + 3/2*u**3 - 1/2*u**m - 2*u + 0.
-u*(u - 2)**2*(u + 1)/2
Let d(k) = k**2 + 17*k + 11. Let t(g) = g**2 - 4*g - 2. Let r be t(3). Let y(v) = -v**2 - 8*v - 5. Let s(b) = r*y(b) - 2*d(b). Let s(f) = 0. What is f?
-1
Let w(z) be the first derivative of -z**4/9 + 2*z**3/9 - 2*z/9 - 1. What is a in w(a) = 0?
-1/2, 1
Let i(s) = 3*s**4 - 2*s**3 - s**2 + 4*s + 4. Let t(d) = -d**4 - d**2. Let o(j) = i(j) + 2*t(j). Solve o(z) = 0.
-1, 2
Factor s**2 + 0*s**3 + 1/2*s - s**4 - 1/2*s**5 + 0.
-s*(s - 1)*(s + 1)**3/2
Suppose -5*s + p = 1, 2*p - 21 = 2*s - 19. Factor 0 - 2/11*z**4 + s*z - 4/11*z**3 + 0*z**2.
-2*z**3*(z + 2)/11
Let j be (-1)/2*8/(-30). Let x(y) be the first derivative of 0*y**3 + 0*y + 0*y**2 - 1 - j*y**5 - 1/6*y**4. Determine d so that x(d) = 0.
-1, 0
Let w be (60/(-160))/((-9)/4). Let v(g) be the first derivative of -1/10*g**5 + 0*g**2 + 1/12*g**6 + w*g**3 - 1/8*g**4 + 0*g + 3. Factor v(s).
s**2*(s - 1)**2*(s + 1)/2
Let u(a) be the first derivative of -a**8/336 - a**7/105 - a**6/120 + 3*a**2/2 + 3. Let f(j) be the second derivative of u(j). Find g, given that f(g) = 0.
-1, 0
Let h(y) be the first derivative of y**7/1120 - y**6/480 - y**5/80 - y**3/3 - 5. Let n(g) be the third derivative of h(g). Factor n(k).
3*k*(k - 2)*(k + 1)/4
Let j be (-220)/(-70) + 1/(-7). Determine w, given that -2 + 27*w**2 - 21*w + 15 - 7 + j*w**4 - 15*w**3 + 0 = 0.
1, 2
Suppose -3*z = 3, 0*p + 3*p - 16 = 4*z. Find t such that -40*t**4 - p + 26*t + 8*t**5 + 1 + 2*t**2 - 66*t**2 + 74*t**3 - 1 = 0.
1/2, 1, 2
Let q = -2/233 - -476/1165. Suppose 2/5*j**3 - q*j**2 + 2/5*j**4 - 2/5*j + 0 = 0. What is j?
-1, 0, 1
Let q(i) be the first derivative of 1/24*i**4 + 1/2*i**2 + 0*i + 2 + 0*i**3 + 1/60*i**5. Let c(s) be the second derivative of q(s). Let c(u) = 0. What is u?
-1, 0
Let p(y) be the second derivative of 0 + 1/40*y**5 + 0*y**3 - 1/12*y**4 + 0*y**2 - 1/84*y**7 - 7*y + 1/30*y**6. Solve p(a) = 0.
-1, 0, 1, 2
Factor -18/7*u**3 - 4/7*u + 0 - 2/7*u**5 + 2*u**2 + 10/7*u**4.
-2*u*(u - 2)*(u - 1)**3/7
Determine d so that -53*d**3 + 10*d + 35*d**5 + 10*d**2 + 8*d**3 + 15*d**2 - 25*d**4 = 0.
-1, -2/7, 0, 1
Let j be -3 + 1/((-6)/(-21)). Suppose -j + 1/4*v**2 + 1/4*v = 0. What is v?
-2, 1
Let i be (-1)/((-22)/(-60)) + -75 + 79. Factor 0*o - 8/11 + i*o**2 + 6/11*o**3.
2*(o + 1)*(o + 2)*(3*o - 2)/11
Let l = 3 - 1. Let a(o) be the first derivative of 0*o**l + 1 - 1/2*o + 1/6*o**3. Factor a(p).
(p - 1)*(p + 1)/2
Let f(q) = -4*q**3 - q**2 + 1. Let c be f(-1). Let -c*d**3 + 6*d**3 - d**3 + 4*d + 4*d**2 = 0. Calculate d.
-2, 0
Suppose 5 + 7 = 3*y. Let p be (-8)/(-6)*6/y. Suppose 2/7*b + 0 + 2/7*b**p = 0. What is b?
-1, 0
Let h = 30 - 30. Let k(j) be the third derivative of -1/660*j**6 + 0 + h*j**4 - j**2 + 0*j + 1/330*j**5 + 0*j**3. Factor k(i).
-2*i**2*(i - 1)/11
Factor -1/5*p - 2/5*p**2 + 0 - 1/5*p**3.
-p*(p + 1)**2/5
Suppose 0 = -3*f + 4*o + 10, 30*f + o + 11 = 35*f. Determine c so that 10/9*c**3 - f*c**2 + 14/9*c - 4/9 - 2/9*c**4 = 0.
1, 2
Let o(l) = -l**2 + 5*l + 6. Let i be o(6). Let r(n) be the second derivative of 0 + 2*n + 1/36*n**4 + 1/18*n**3 + i*n**2. Determine u, given that r(u) = 0.
-1, 0
Let t(a) = 14*a**3 - 20*a**2 + 6*a - 2. Let x = 4 - -1. Let j(q) = -2*q + x*q - 1 - 2*q - q**2. Let d(c) = -2*j(c) + t(c). Suppose d(i) = 0. What is i?
0, 2/7, 1
Let m(i) be the first derivative of i**5/20 - 9*i**4/4 + 81*i**3/2 - 729*i**2/2 + 6561*i/4 - 18. Let m(v) = 0. What is v?
9
Find v such that 8*v**3 - 2*v**4 + 133 - 8*v**2 - 133 = 0.
0, 2
Let s(l) be the first derivative of l**6/15 + l**5/5 + l**4/6 + 4*l + 3. Let f(u) be the first derivative of s(u). What is k in f(k) = 0?
-1, 0
Let w(v) be the first derivative of -v**6/9 - 8*v**5/15 - v**4/3 + 8*v**3/9 + v**2 - 42. Suppose w(f) = 0. What is f?
-3, -1, 0, 1
Let y = 14 + -35. Let j be 3/21 - 102/y. Factor 0 - l**4 + l**3 + 1/3*l**j - 1/3*l**2 + 0*l.
l**2*(l - 1)**3/3
Let p = -845/456 + 36/19. Let h(c) be the second derivative of c - p*c**3 + 1/8*c**2 + 0 + 1/80*c**5 - 1/48*c**4. Find t, given that h(t) = 0.
-1, 1
Let z be (-1)/(-2)*-1*-8. Let -25 - 5*v**z - v**5 - 4*v**2 + 25 - 8*v**3 = 0. Calculate v.
-2, -1, 0
Let s(w) be the second derivative of w**7/252 + 7*w**6/360 + w**5/30 - w**4/6 + 2*w. Let h(n) be the third derivative of s(n). Find d such that h(d) = 0.
-1, -2/5
Let j be (8/(-14))/((-20)/70). Let q be (-2)/(-8) + 3/(-12). Find l such that l**j + 1/2*l + q + 1/2*l**3 = 0.
-1, 0
Suppose -20*x = -51 - 49. Determine r, given that 5/2*r**3 - r + 0 - 3/2*r**x + 1/2*r**2 - 1/2*r**4 = 0.
-1, 0, 2/3, 1
Factor 4*w**2 + 14*w**3 + 4*w**4 + w**5 - 4*w**3 + 0*w**3 + w - 4*w**3.
w*(w + 1)**4
Let u(j) = -20*j**2 + 20*j. Let q(z) = -7*z**2 + 7*z. Let s(r) = -14*q(r) + 5*u(r). Solve s(l) = 0 for l.
0, 1
Let r(j) be the third derivative of j**7/525 + 43*j**2. Factor r(x).
2*x**4/5
Let r be ((-4)/8)/(1/(-26)). Let u = r + -10. Factor -3*y**2 - 2*y**4 + 5*y**4 + u*y + 2*y**3 - 5*y.
y*(y - 1)*(y + 1)*(3*y + 2)
Let o = 1 - -1. Suppose 6 = o*i - 0. Find s such that -3*s**3 + i*s**3 - s**3 + 4 - 3*s**2 = 0.
-2, 1
Suppose 3*b = -2*b + 10. Solve 3*x - 4*x**b - 5*x + x**4 + x**2 = 0.
-1, 0, 2
Let p(s) be the first derivative of 12*s**4 + 8*s**3 - 21*s**2/2 + 3*s + 7. Suppose p(l) = 0. What is l?
-1, 1/4
Suppose 0 = -2*m - m. Suppose 4/5*g**2 + m*g - 2*g**3 + 0 = 0. Calcu