q**p.
5*(q + 2)*(3*q - 1)**2/6
Suppose 5*l - 2 = -22, 2*l = -5*v + 17. Suppose 0 = 14*f + v*f - 95. Factor 16 + g**f - 92*g**2 - 9*g**5 - 268*g**3 + 476*g**4 + 64*g - 188*g**5.
-4*(g - 1)**3*(7*g + 2)**2
Factor 372 - 21*p**3 - 281*p**2 + 26*p**2 + 1069*p - 782*p**2 - 133*p - 250*p**2.
-3*(p - 1)*(p + 62)*(7*p + 2)
Let g(b) be the second derivative of 10*b - 8/15*b**4 - 7/3*b**3 - 18/5*b**2 - 2 + 1/50*b**5. Let g(m) = 0. Calculate m.
-1, 18
Let 445 + 1357 + 98*o - 2*o**2 + 4*o**2 + 42*o = 0. What is o?
-53, -17
Let y(r) = -5*r + 53. Let v be y(11). Let i be 0/(-2 + 0*v/12). Find c, given that 0*c**2 + 4/3*c**4 + 0*c - 4/3*c**3 + i = 0.
0, 1
Let u(x) be the second derivative of x**7/189 + 2*x**6/135 - 7*x**5/45 - 4*x**4/9 + 5*x**3/3 + 6*x**2 - 24*x + 13. Suppose u(k) = 0. Calculate k.
-3, -1, 2, 3
Let y(q) be the third derivative of q**5/570 - 31*q**4/76 - 94*q**3/57 - 302*q**2 + 2*q. Determine w so that y(w) = 0.
-1, 94
Let k be (5 - (-308)/(-63))/(2/24). Let d = -983/21 + 330/7. Let -d*p**2 + k*p - 1 = 0. Calculate p.
1, 3
Factor 9750*j**4 + 1250/3*j**5 - 2656*j + 800/3 + 29680/3*j**2 - 48800/3*j**3.
2*(j + 25)*(5*j - 2)**4/3
Let b(d) be the first derivative of 12/35*d**5 + 1/21*d**6 + 428/21*d**3 - 73/14*d**4 + 245 - 36*d**2 + 208/7*d. Determine s so that b(s) = 0.
-13, 1, 2
Let w(o) be the first derivative of -4*o**5/5 - 44*o**4 + 568*o**3/3 + 88*o**2 - 564*o - 7080. Solve w(a) = 0 for a.
-47, -1, 1, 3
Let x(u) be the first derivative of 1/12*u**3 + 0*u - 10 - 3/4*u**2. Factor x(k).
k*(k - 6)/4
Let c(i) = -2*i**4 + 2*i**2. Let s(a) = 3*a**5 - 12*a**4 - 108*a**3 - 258*a**2 - 192*a. Let j(w) = 3*c(w) - s(w). Find u such that j(u) = 0.
-2, 0, 8
Let u be ((-897)/(-1001) + -1)*(-7 - 14/4). Determine a so that 6/11*a**2 - 112/11*a - 2/11*a**4 + u*a**3 + 96/11 = 0.
-3, 1, 4
Let r(w) = -7*w**3 + 6*w**2 + 20*w - 8. Let s(j) = -26*j**3 + 26*j**2 + 81*j - 30. Let v(i) = -15*r(i) + 4*s(i). Solve v(n) = 0.
-12, -2, 0
Let x(c) = 11*c**2 + 549*c - 2232. Let n(g) = -39*g**2 - 1923*g + 7812. Let w(y) = 5*n(y) + 18*x(y). Let w(v) = 0. What is v?
-93, 4
Suppose 8*p = 64 - 16. Let h be (-1*p/(-4))/(-30 - -36). Let 1/4*l - 1/4*l**2 - 1/4*l**3 + h = 0. What is l?
-1, 1
Let j(u) be the third derivative of -u**6/36 + 331*u**5/30 + 334*u**4/5 + 804*u**3/5 + 33*u**2 + 2*u + 66. Factor j(x).
-2*(x - 201)*(5*x + 6)**2/15
Suppose 4*t = -q + 24, 0 = 2*q - 2*t - 0*t + 2. Suppose 0 = -5*n - q*j + 138, 2*n + j - 54 = -0*j. Factor -5*l - 11*l + n*l - 14*l - 2*l**2.
-2*l*(l + 2)
Let n = 406353 + -406351. Factor -2/5*y - 2/15*y**3 - 2/15 - 2/5*y**n.
-2*(y + 1)**3/15
Let c(b) be the second derivative of -b**4/78 + b**3/39 - 1124*b. Factor c(o).
-2*o*(o - 1)/13
Let p(r) be the first derivative of -r**4/18 + 13*r**2/9 - 8*r/3 - 1330. What is s in p(s) = 0?
-4, 1, 3
Let -2 + 304/3*j + 310/3*j**2 = 0. What is j?
-1, 3/155
Suppose -7*n = -62 - 8. Suppose a - 4*x - n = 9, 8 = 4*a + x. Factor 0*o + 8/5*o**a + 0 + 8/5*o**2 + 2/5*o**4.
2*o**2*(o + 2)**2/5
Let l = -9293 + 27881/3. Determine m so that -l*m**2 + 12 + 14/3*m = 0.
-2, 9
Let y(v) be the second derivative of 0 + 15/2*v**2 - 5/6*v**4 + 10/3*v**3 - v**5 - 1/6*v**6 + 214*v. Determine n, given that y(n) = 0.
-3, -1, 1
Let f(p) = p**2 - 7*p + 22. Suppose -3*h = j - 29, 5*h - 43 = -2*j + 5. Let s be f(h). Solve 42*w**2 - 7*w**2 - 14 - s*w - 43*w - 16 = 0.
-2/7, 3
Factor -88*q**3 + 381 + 427 - 1367 + 268*q + 383 - 6*q**2 + 2*q**4.
2*(q - 44)*(q - 1)**2*(q + 2)
Suppose 4*p - 7 + 3 = 0. Suppose -3*g = -3*x - 3, -3*g + 4*x + 3 = p. Factor -478*n**3 - 10*n**g + 473*n**3 + n**4 + 4*n**4.
5*n**2*(n - 2)*(n + 1)
Let s(m) be the first derivative of -m**6/150 + m**4/30 - m**2/10 + 79*m - 120. Let v(b) be the first derivative of s(b). Factor v(c).
-(c - 1)**2*(c + 1)**2/5
Let t be (-4)/((-4)/(-3)*(-15)/10). Let -6*i**2 - 4*i**2 + 282 - 255 + 9*i + 3*i**3 - 5*i**t = 0. What is i?
-1, 3
Let b(s) be the first derivative of 1/24*s**4 + 9 + 9*s - 5/6*s**3 + 25/4*s**2. Let o(x) be the first derivative of b(x). Let o(u) = 0. What is u?
5
Let f(d) be the second derivative of 1/18*d**4 + 8/3*d**2 + 0 + d**3 + 51*d. Factor f(q).
2*(q + 1)*(q + 8)/3
Let g be 6 - ((-4698)/(-145))/((-1)/10). Suppose o = 56*o - g. Let -16/3*m + 2/3*m**2 - o = 0. Calculate m.
-1, 9
Let a = -61050 - -61052. Factor -1/3*b**a + 10/3*b - 25/3.
-(b - 5)**2/3
Let j = 451 - 448. Let l be (-8 - j)*(-13)/((-572)/(-8)). Factor 7/10*i**l + 0 - 1/5*i + 1/2*i**4 - 1/10*i**5 - 9/10*i**3.
-i*(i - 2)*(i - 1)**3/10
Factor -1269600*r**2 + 0*r**4 - 194672000*r - 5362722242 - 3680*r**3 - 4*r**4 - 5830917758 + 2*r**4 - 2*r**4.
-4*(r + 230)**4
Let a be -4 + 7/1 + (-3)/(-3). Let -24*m**2 + 69*m**5 + 6*m**3 - m**4 - 72*m**5 + 6*m**3 + 7*m**a = 0. What is m?
-2, 0, 2
Let b(t) be the third derivative of 5*t**8/672 - 41*t**7/840 - t**6/160 + 13*t**5/120 + t**4/12 - 1596*t**2. Solve b(a) = 0.
-1/2, -2/5, 0, 1, 4
Let p = -364680 - -364682. Factor 1/4*o**p - 42*o + 1764.
(o - 84)**2/4
Let v(b) = b**3 + 15*b**2 - 21*b - 72. Let k be v(-16). Suppose 1023 - 1055 = -k*g. Factor 12/11*w**3 - 2/11*w**g - 8/11 - 26/11*w**2 + 24/11*w.
-2*(w - 2)**2*(w - 1)**2/11
Suppose 10*u - 14*u + d + 120 = 0, -2*d - 95 = -3*u. Suppose -l = -u*l + 3*l. Factor 2/9*y**3 + 8/9*y + l - 8/9*y**2.
2*y*(y - 2)**2/9
Suppose 184 = -14*d + 786. Let m = -43 + d. Factor 35*r - 3*r**2 - 16*r - 16*r + m*r**2.
-3*r*(r - 1)
Let o be (-63)/36 - (1 + -4). Suppose -340*r = 1173*r. Suppose 0*i**3 + 0*i + 0 + 5/4*i**5 + r*i**2 - o*i**4 = 0. Calculate i.
0, 1
Let w(q) be the third derivative of -3*q**8/280 - 101*q**7/525 + 329*q**6/300 + 1403*q**5/50 - 288*q**4/5 - 324*q**3/5 - 459*q**2. Determine d so that w(d) = 0.
-9, -2/9, 1, 6
Let a(p) be the third derivative of -p**6/30 - 37*p**5/120 + 15*p**4/16 + 247*p**2. Suppose a(f) = 0. What is f?
-45/8, 0, 1
Suppose -26 = -4*n - 3*h, 3*n + h - 5*h = 7. Suppose 32*j + 6 = 29*j - 2*s, 0 = n*j - 2*s - 6. Factor 2/11*c**3 - 6/11*c**2 + 8/11 + j*c.
2*(c - 2)**2*(c + 1)/11
Let t be ((-20)/(-630) + (-187)/(-1386))/(14/24*1). Let g be (-24)/(-14) + (-4)/(-14). Determine c so that 4/7*c**g + 0*c - t*c**3 + 0 = 0.
0, 2
Let z(d) be the third derivative of -17*d**2 + 0 - 53/8*d**4 + 0*d - 1/40*d**6 + 13*d**3 + 7/5*d**5. Factor z(k).
-3*(k - 26)*(k - 1)**2
Factor -227/11*j - 90/11 - 140/11*j**2 + 42/11*j**3 + 1/11*j**5 + 46/11*j**4.
(j - 2)*(j + 1)**3*(j + 45)/11
Let f(g) be the first derivative of 2*g**3/3 + 15*g**2 - 3746. Factor f(x).
2*x*(x + 15)
Let o(b) be the first derivative of 2*b**6/15 - 2*b**5 + 3*b**4 + 50*b - 24. Let r(q) be the first derivative of o(q). Solve r(c) = 0 for c.
0, 1, 9
Let 8/7*v + 2/7*v**2 - 384/7 = 0. Calculate v.
-16, 12
Suppose -30*p - 16380 = 41730. Let w = p - -5837/3. Let -2/3*q**5 + 10/3*q**4 - w*q - 14/3 + 28/3*q**3 + 4/3*q**2 = 0. What is q?
-1, 1, 7
Suppose -4*a - a + 20 = 0. Let b(q) be the second derivative of 0 - 1/2*q**a - 10*q + 2/5*q**2 + 13/15*q**3. Determine x so that b(x) = 0.
-2/15, 1
Factor 37/2*m**4 - m**2 - 35/2 + 71/2*m - 35*m**3 - 1/2*m**5.
-(m - 35)*(m - 1)**3*(m + 1)/2
Let -2/3*i**2 + 348 + 98/3*i = 0. Calculate i.
-9, 58
Let i = -228 + 216. Let t be (i + 14)/(1/(-6)*-16). Factor b**2 + 0*b + 0 - t*b**4 - 1/4*b**5 + 0*b**3.
-b**2*(b - 1)*(b + 2)**2/4
Factor 39 - 9*j**2 + 40 - 3*j - 74 + 1.
-3*(j + 1)*(3*j - 2)
Let x(j) be the third derivative of 3/4*j**4 - 3*j**2 - 5/3*j**3 + 1/15*j**5 - 2 + 0*j. Factor x(h).
2*(h + 5)*(2*h - 1)
Suppose 0 = -3*o - 4*s - 3, 0 = -4*o + s - 5*s. Factor 179*i**2 + i**4 - 179*i**2 + 3*i**o - 2*i - 2*i.
i*(i - 1)*(i + 2)**2
Suppose 66 - 54 = 2*x. Let g be 8*3/x + 1 + -2. Suppose -733*p**5 + 736*p**5 - 3*p**4 + p - 2*p**g - 7*p + 15*p**2 - 7*p**3 = 0. What is p?
-2, 0, 1
Let c(f) = -6*f**2 - 41*f. Let o(j) = -j**2 - 8*j + 211. Let y be o(11). Let a(x) = 3*x**2 + 20*x. Let u(q) = y*c(q) + 5*a(q). Factor u(t).
3*t*(t + 6)
Let m = 2344 + -2344. Let l(j) be the second derivative of 5/12*j**4 + 5*j + 55/6*j**3 - 30*j**2 + m. Suppose l(s) = 0. What is s?
-12, 1
Let g be 0/(8/((-20)/5)). Let d(c) be the third derivative of 2/105*c**7 - 14*c**2 + 0*c + 0 - 1/5*c**5 + 1/3*c**4 + g*c**3 + 0*c**6. Let d(n) = 0. Calculate n.
-2, 0, 1
Let x be (402/(-189) - -2)/((-1)/(51/34)). Let h be (-2 - 0)*(-2)/6. Solve -10/21*q**3 - 6/7*q**2 + 6/7*q**4